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15 results on '"National University of Singapore (NUS)-Sorbonne Université (SU)"'

1. Prethermalization and wave condensation in a nonlinear disordered Floquet system

Author

Haldar, Prosenjit, Mu, Sen, Georgeot, Bertrand, Gong, Jiangbin, Miniatura, Christian, Lemarié, Gabriel, Laboratoire de Physique Théorique (LPT), Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes (IRSAMC), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées, Department of Physics, National University of Singapore, Singapore, MajuLab (UMI 3654), National University of Singapore (NUS)-Sorbonne Université (SU), Centre for Quantum Technologies, National University of Singapore, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Université Côte d’Azur, CNRS, INPHYNI, Nice, France, National University of Singapore (NUS), Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche « Matière et interactions » (FeRMI), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), MajuLab, National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Nanyang Technological University [Singapour], Institut de Physique de Nice (INPHYNI), Université Nice Sophia Antipolis (1965 - 2019) (UNS), and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)

Subjects
Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], Quantum Gases (cond-mat.quant-gas), FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), [NLIN]Nonlinear Sciences [physics], Chaotic Dynamics (nlin.CD), Condensed Matter - Disordered Systems and Neural Networks, Quantum Physics (quant-ph), Condensed Matter - Quantum Gases, Nonlinear Sciences - Chaotic Dynamics, Condensed Matter - Statistical Mechanics
Abstract

Periodically-driven quantum systems make it possible to reach stationary states with new emerging properties. However, this process is notoriously difficult in the presence of interactions because continuous energy exchanges generally boil the system to an infinite temperature featureless state. Here, we describe how to reach nontrivial states in a periodically-kicked Gross-Pitaevskii disordered system. One ingredient is crucial: both disorder and kick strengths should be weak enough to induce sufficiently narrow and well-separated Floquet bands. In this case, inter-band heating processes are strongly suppressed and the system can reach an exponentially long-lived prethermal plateau described by the Rayleigh-Jeans distribution. Saliently, the system can even undergo a wave condensation process when its initial state has a sufficiently low total quasi-energy. These predictions could be tested in nonlinear optical experiments or with ultracold atoms., 8 pages, 4 figures + Supplementary Material

Published
2021

2. Coherent Forward Scattering Peak and Multifractality

Author

Olivier Giraud, Bertrand Georgeot, Christian Miniatura, Gabriel Lemarié, Maxime Martinez, Laboratoire de Physique Théorique (LPT), Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes (IRSAMC), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), MajuLab (UMI 3654), National University of Singapore (NUS)-Sorbonne Université (SU), Centre for Quantum Technologies [Singapore] (CQT), National University of Singapore (NUS), Institut de Physique de Nice (INPHYNI), Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), Department of Physics, National University of Singapore, Singapore, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), School of Physical and Mathematical Sciences, MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche « Matière et interactions » (FeRMI), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), MajuLab, National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Nanyang Technological University [Singapour], ANR-17-EURE-0009,NanoX,Science et Ingénierie à l'Echelle Nano(2017), ANR-17-CE30-0024,COCOA,Contrôle de systèmes complexes d'atomes froids(2017), ANR-19-CE30-0013,GLADYS,De la nature vitreuse des systèmes quantiques désordonnés(2019), and ANR-18-CE30-0017,MANYLOK,Localisation à N corps avec le Kicked Rotor(2018)

Subjects
Floquet theory, Anderson localization, Anderson Localization, Forward scatter, FOS: Physical sciences, Coherent backscattering, Interference (wave propagation), Condensed Matter::Disordered Systems and Neural Networks, 01 natural sciences, 010305 fluids & plasmas, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], Physics [Science], 0103 physical sciences, Coherent Backscattering, Statistical physics, [NLIN]Nonlinear Sciences [physics], 010306 general physics, Quantum, Anderson impurity model, Physics, Multifractal system, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Nonlinear Sciences - Chaotic Dynamics, Quantum Gases (cond-mat.quant-gas), Chaotic Dynamics (nlin.CD), Condensed Matter - Quantum Gases
Abstract

It has recently been shown that interference effects in disordered systems give rise to two non-trivial structures: the coherent backscattering (CBS) peak, a well-known signature of interference effects in the presence of disorder, and the coherent forward scattering (CFS) peak, which emerges when Anderson localization sets in. We study here the CFS effect in the presence of quantum multifractality, a fundamental property of several systems, such as the Anderson model at the metal-insulator transition. We focus on Floquet systems, and find that the CFS peak shape and its peak height dynamics are generically controlled by the multifractal dimensions $D_1$ and $D_2$, and by the spectral form factor. We check our results using a 1D Floquet system whose states have multifractal properties controlled by a single parameter. Our predictions are fully confirmed by numerical simulations and analytic perturbation expansions on this model. Our results, which we believe to be generic, provide an original and direct way to detect and characterize multifractality in experimental systems., 7 pages, 3 figures

Published
2021
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3. Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization

Author

Bertrand Georgeot, Olivier Giraud, Gabriel Lemarié, A. M. Bilen, Ignacio García-Mata, Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas [Buenos Aires] (CONICET)-Facultad de Ciencias Exactas y Naturales [Mar del Plata], Universidad Nacional de Mar del Plata [Mar del Plata] (UNMdP)-Universidad Nacional de Mar del Plata [Mar del Plata] (UNMdP), Laboratoire de Physique Théorique (LPT), Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes (IRSAMC), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), MajuLab (UMI 3654), National University of Singapore (NUS)-Sorbonne Université (SU), Centre for Quantum Technologies [Singapore] (CQT), National University of Singapore (NUS), Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche « Matière et interactions » (FeRMI), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), MajuLab, National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), ANR-17-EURE-0009,NanoX,Science et Ingénierie à l'Echelle Nano(2017), ANR-17-CE30-0024,COCOA,Contrôle de systèmes complexes d'atomes froids(2017), ANR-19-CE30-0013,GLADYS,De la nature vitreuse des systèmes quantiques désordonnés(2019), and ANR-18-CE30-0017,MANYLOK,Localisation à N corps avec le Kicked Rotor(2018)

Subjects
Physics, Anderson localization, Quantum Physics, Gaussian, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Multifractal system, Eigenfunction, Condensed Matter - Disordered Systems and Neural Networks, 16. Peace & justice, 01 natural sciences, Symmetry (physics), 010305 fluids & plasmas, symbols.namesake, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], Quantum state, 0103 physical sciences, symbols, Quantum Physics (quant-ph), 010306 general physics, Random matrix, Quantum, Mathematical physics
Abstract

Quantum multifractality is a fundamental property of systems such as non-interacting disordered systems at an Anderson transition and many-body systems in Hilbert space. Here we discuss the origin of the presence or absence of a fundamental symmetry related to this property. The anomalous multifractal dimension $\Delta_q$ is used to characterize the structure of quantum states in such systems. Although the multifractal symmetry relation \mbox{$\Delta_q=\Delta_{1-q}$} is universally fulfilled in many known systems, recently some important examples have emerged where it does not hold. We show that this is the result of two different mechanisms. The first one was already known and is related to Gaussian fluctuations well described by random matrix theory. The second one, not previously explored, is related to the presence of an algebraically localized envelope. While the effect of Gaussian fluctuations can be removed by coarse graining, the second mechanism is robust to such a procedure. We illustrate the violation of the symmetry due to algebraic localization on two systems of very different nature, a 1D Floquet critical system and a model corresponding to Anderson localization on random graphs., Comment: Closest to published version

Published
2021
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4. Lasing in a ZnO waveguide: Clear evidence of polaritonic gain obtained by monitoring the continuous exciton screening

Author

Geoffrey Kreyder, Léa Hermet, Pierre Disseix, François Médard, Martine Mihailovic, François Réveret, Sophie Bouchoule, Christiane Deparis, Jesús Zuñiga-Pérez, Joël Leymarie, Institut Pascal (IP), Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne (UCA)-Institut national polytechnique Clermont Auvergne (INP Clermont Auvergne), Université Clermont Auvergne (UCA)-Université Clermont Auvergne (UCA), Centre de Nanosciences et de Nanotechnologies (C2N), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Centre de recherche sur l'hétéroepitaxie et ses applications (CRHEA), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), MajuLab, and National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)

Subjects
Condensed Matter - Materials Science, PhotoluminescenceTime-resolved, Wide band gap systems, Polaritons, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, photoluminescence, II-VI semiconductors, Excitons, [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat], Waveguides
Abstract

International audience; The coherent emission of exciton polaritons was proposed as a means of lowering the lasing threshold because it does not require the dissociation of excitons to obtain an electron-hole plasma, as in a classical semiconductor laser based on population inversion. In this work we propose a method to prove clearly the polaritonic nature of lasing by combining experimental measurements with a model accounting for the permittivity change as a function of the carrier density. To do so we use angle resolved photoluminescence to observe the lasing at cryogenic temperature from a polariton mode in a zinc oxide waveguide structure, and to monitor the continuous shift of the polaritonic dispersion towards a photonic dispersion as the optical intensity of the pump is increased (up to 20 times the one at threshold). This shift is reproduced thanks to a model taking into account the reduction of the oscillator strength and the renormalization of the band gap due to the screening of the electrostatic interaction between electrons and holes. Furthermore, the measurement of the carrier lifetime at optical intensities in the order of those at which the polariton lasing occurs enables us to estimate the carrier density, confirming that it is lower than the corresponding Mott density for zinc oxide reported in the literature.

Published
2023
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5. Superfluidity vs prethermalisation in a nonlinear Floquet system

Author

S. Mu, N. Macé, J. Gong, C. Miniatura, G. Lemarié, M. Albert, National University of Singapore (NUS), Laboratoire de Physique Théorique (LPT), Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes (IRSAMC), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), MajuLab (UMI 3654), National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Institut de Physique de Nice (INPHYNI), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), ANR-17-CE30-0024,COCOA,Contrôle de systèmes complexes d'atomes froids(2017), ANR-19-CE30-0013,GLADYS,De la nature vitreuse des systèmes quantiques désordonnés(2019), and ANR-18-CE30-0017,MANYLOK,Localisation à N corps avec le Kicked Rotor(2018)

Subjects
Condensed Matter::Quantum Gases, [PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas], Quantum Gases (cond-mat.quant-gas), FOS: Physical sciences, General Physics and Astronomy, Condensed Matter - Quantum Gases, [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]
Abstract

We show that superfluidity can be used to prevent thermalisation in a nonlinear Floquet system. Generically, periodic driving boils an interacting system to a featureless infinite temperature state. Fast driving is a known strategy to postpone Floquet heating with a large but always finite boiling time. In contrast, using a nonlinear periodically-driven system on a lattice, we show the existence of a continuous class of initial states which do not thermalise at all. This absence of thermalisation is associated to the existence and persistence of a stable superflow motion., 7 pages, 5 figures, Supplementary material

Published
2022
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6. Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization

Author

I. García-Mata, J. Martin, O. Giraud, B. Georgeot, R. Dubertrand, G. Lemarié, Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas [Buenos Aires] (CONICET)-Facultad de Ciencias Exactas y Naturales [Mar del Plata], Universidad Nacional de Mar del Plata [Mar del Plata] (UNMdP)-Universidad Nacional de Mar del Plata [Mar del Plata] (UNMdP), Consejo Nacional de Investigaciones Científicasy Tecnológicas, CONICET, Argentina, Institut de Physique Nucléaire, Atomique et de Spectroscopie, CESAM, Université de Liège, Bât. B15, B - 4000 Liège, Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Information et Chaos Quantiques (LPT), Laboratoire de Physique Théorique (LPT), Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche « Matière et interactions » (FeRMI), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), Department of Mathematics, Physics and Electrical Engineering, Northumbria University, University of Northumbria at Newcastle [United Kingdom], MajuLab, National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Centre for Quantum Technologies [Singapore] (CQT), National University of Singapore (NUS), ANR-17-CE30-0024,COCOA,Contrôle de systèmes complexes d'atomes froids(2017), ANR-19-CE30-0013,GLADYS,De la nature vitreuse des systèmes quantiques désordonnés(2019), and ANR-18-CE30-0017,MANYLOK,Localisation à N corps avec le Kicked Rotor(2018)

Subjects
Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), [PHYS.COND.CM-DS-NN]Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn], [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Condensed Matter - Disordered Systems and Neural Networks, Quantum Physics (quant-ph), Condensed Matter - Statistical Mechanics
Abstract

The Anderson transition in random graphs has raised great interest, partly because of its analogy with the many-body localization (MBL) transition. Unlike the latter, many results for random graphs are now well established, in particular the existence and precise value of a critical disorder separating a localized from an ergodic delocalized phase. However, the renormalization group flow and the nature of the transition are not well understood. In turn, recent works on the MBL transition have made the remarkable prediction that the flow is of Kosterlitz-Thouless type. Here we show that the Anderson transition on graphs displays the same type of flow. Our work attests to the importance of rare branches along which wave functions have a much larger localization length $\xi_\parallel$ than the one in the transverse direction, $\xi_\perp$. Importantly, these two lengths have different critical behaviors: $\xi_\parallel$ diverges with a critical exponent $\nu_\parallel=1$, while $\xi_\perp$ reaches a finite universal value ${\xi_\perp^c}$ at the transition point $W_c$. Indeed, $\xi_\perp^{-1} \approx {\xi_\perp^c}^{-1} + \xi^{-1}$, with $\xi \sim (W-W_c)^{-\nu_\perp}$ associated with a new critical exponent $\nu_\perp = 1/2$, where $\exp( \xi)$ controls finite-size effects. The delocalized phase inherits the strongly non-ergodic properties of the critical regime at short scales, but is ergodic at large scales, with a unique critical exponent $\nu=1/2$. This shows a very strong analogy with the MBL transition: the behavior of $\xi_\perp$ is identical to that recently predicted for the typical localization length of MBL in a phenomenological renormalization group flow. We demonstrate these important properties for a smallworld complex network model and show the universality of our results by considering different network parameters and different key observables of Anderson localization., Comment: 36 pages, 32 figures. Closest to the published version

Published
2022
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7. Coherent forward scattering as a robust probe of multifractality in critical disordered media

Author

Maxime Martinez, Gabriel Lemarié, Bertrand Georgeot, Christian Miniatura, Olivier Giraud, Information et Chaos Quantiques (LPT), Laboratoire de Physique Théorique (LPT), Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche « Matière et interactions » (FeRMI), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), MajuLab, National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Centre for Quantum Technologies [Singapore] (CQT), National University of Singapore (NUS), Institut de Physique de Nice (INPHYNI), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Nanyang Technological University [Singapour], Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), and Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], Quantum Gases (cond-mat.quant-gas), General Physics and Astronomy, FOS: Physical sciences, [NLIN]Nonlinear Sciences [physics], Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Chaotic Dynamics (nlin.CD), Condensed Matter - Quantum Gases, Nonlinear Sciences - Chaotic Dynamics
Abstract

We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to fully characterize the dynamics of the shape and height of the CFS peak. We show that the dynamics is governed by multifractal dimensions $D_1$ and $D_2$, which suggests that CFS could be used as an experimental probe for quantum multifractality. Our predictions are universal and numerically verified in three paradigmatic models of quantum multifractality: Power-law Random Banded Matrices (PRBM), the Ruijsenaars-Schneider ensembles (RS), and the three-dimensional kicked-rotor (3DKR). In the strong multifractal regime, we show analytically that these universal predictions exactly coincide with results from standard perturbation theory applied to the PRBM and RS models., Comment: 24 pages, 10 figures

Published
2022
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8. Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree

Author

Chakrabarti, Ankita, Martins, Cyril, Laflorencie, Nicolas, Georgeot, Bertrand, Brunet, Éric, Lemarié, Gabriel, Georgeot, Bertrand, Centre for Quantum Technologies and Department of Physics, National University of Singapore, MajuLab, National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Information et Chaos Quantiques (LPT), Laboratoire de Physique Théorique (LPT), Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche « Matière et interactions » (FeRMI), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), Systèmes étendus et magnétisme (LCPQ) (SEM), Laboratoire de Chimie et Physique Quantiques Laboratoire (LCPQ), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche « Matière et interactions » (FeRMI), Fermions Fortement Corrélés (LPT) (FFC), Laboratoire de physique de l'ENS - ENS Paris (LPENS), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Département de Physique de l'ENS-PSL, École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Centre for Quantum Technologies [Singapore] (CQT), and National University of Singapore (NUS)

Subjects
FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), [PHYS.COND.CM-DS-NN]Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn], Condensed Matter - Disordered Systems and Neural Networks, [PHYS.COND.CM-DS-NN] Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn]
Abstract

We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons on the Cayley tree, or the emergence of non-ergodic properties in such systems. We numerically investigate this problem building on the cavity mean-field method complemented by state-of-the art finite-size scaling analysis. Our numerics agree very well with analytical results based on an analogy with the traveling wave problem of a branching random walk in the presence of an absorbing wall. Critical properties and finite-size corrections for the zero-temperature paramagnetic-ferromagnetic transition are studied both for constant and algebraically vanishing boundary conditions. In the later case, we reveal a regime which is reminiscent of the non-ergodic delocalized phase observed in other systems, thus shedding some light on critical issues in the context of disordered quantum systems, such as Anderson transitions, the many-body localization or disordered bosons in infinite dimensions.

Published
2022

9. Ultralow Threshold Polariton Condensate in a Monolayer Semiconductor Microcavity at Room Temperature

Author

Timothy Chi Hin Liew, Xue Liu, Weijie Zhao, Jiaxin Zhao, Carole Diederichs, Antonio Fieramosca, Daniele Sanvitto, Qihua Xiong, Rui Su, Wei Du, MajuLab (UMI 3654), National University of Singapore (NUS)-Sorbonne Université (SU), Laboratoire Pierre Aigrain (LPA), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), and School of Physical and Mathematical Sciences

Subjects
Materials science, Exciton, [SDV]Life Sciences [q-bio], Nanophotonics, Physics::Optics, FOS: Physical sciences, Bioengineering, 02 engineering and technology, Physics [Science], Polariton, General Materials Science, ComputingMilieux_MISCELLANEOUS, Condensed Matter::Quantum Gases, Transition-metal Dichalcogenides, Condensed Matter - Materials Science, business.industry, Condensed Matter::Other, Strong Coupling, Mechanical Engineering, Materials Science (cond-mat.mtrl-sci), General Chemistry, 021001 nanoscience & nanotechnology, Condensed Matter Physics, Semiconductor, Quasiparticle, Optoelectronics, 0210 nano-technology, Ground state, business, Lasing threshold, Physics - Optics, Coherence (physics), Optics (physics.optics)
Abstract

Atomically thin transition metal dichalcogenides possess valley dependent functionalities that are usually available only at crogenic temperatures, constrained by various valley depolarization scatterings. The formation of exciton polaritons by coherently superimposing excitons and microcavity photons potentially harnesses the valley polarized polariton polariton interactions for novel valleytronics devices. Robust EPs have been demonstrated at room temperature in TMDs microcavity, however, the coherent polariton lasing and condensation remain elusive. Herein, we demonstrate for the first time the realization of EP condensation in a TMD microcavity at room temperature. The continuous wave pumped EP condensation and lasing with ultralow thresholdsis evidenced by the macroscopic occupation of the ground state, that undergoes a nonlinear increase of the emission and a continuous blueshift, a build up of spatial coherence, and a detuning-controlled threshold. Our work presents a critically important step towards exploiting nonlinear polariton polariton interactions and polaritonic devices with valley functionality at room temperature., Comment: 21 pages, 5 figures

Published
2021
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10. Interaction induced bi-skin effect in an exciton-polariton system

Author

Xu, Xingran, Xu, Huawen, Mandal, S., Banerjee, R., Ghosh, Sanjib, Liew, T., Nanyang Technological University [Singapour], MajuLab (UMI 3654), and National University of Singapore (NUS)-Sorbonne Université (SU)

Subjects
Condensed Matter - Mesoscale and Nanoscale Physics, Skin effect, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, Geometric & topological phases, [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat], Exciton polariton, Topology, Optics (physics.optics), Physics - Optics
Abstract

International audience; The non-Hermitian skin effect can be realized through asymmetric hopping between forward and backward directions, where all the modes of the system are localized at one edge of a finite 1D lattice. Here we show theoretically that in a finite chain of 1D exciton-polariton micropillars with symmetric hopping, the inherent nonlinearity of the system can exhibit a double-sided skin (bi-skin) effect based of the fluctuations of the system, where the modes of the system are localized at the two edges of the system. To show the topological origin of such modes, we calculate the winding number. The bi-skin effect can be detected experimentally as an intensity drop at one edge of the chain and an increase at the opposite edge upon an increase of the polariton density under continuous wave excitation.

Published
2021
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11. Universal graph description for one-dimensional exchange models

Author

Jean Decamp, Huanqian Loh, Christian Miniatura, Jiangbin Gong, Centre for Quantum Technologies [Singapore] (CQT), National University of Singapore (NUS), Institut de Physique de Nice (INPHYNI), Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015 - 2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015 - 2019) (COMUE UCA), MajuLab (UMI 3654), and National University of Singapore (NUS)-Sorbonne Université (SU)

Subjects
Physics, Statistical Mechanics (cond-mat.stat-mech), [PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas], Magnetism, FOS: Physical sciences, Context (language use), Graph theory, Adiabatic quantum computation, 01 natural sciences, 010305 fluids & plasmas, Bethe ansatz, Condensed Matter - Other Condensed Matter, Theoretical physics, Nonlinear Sciences::Exactly Solvable and Integrable Systems, [PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other], 0103 physical sciences, [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], 010306 general physics, Quantum, Condensed Matter - Statistical Mechanics, ComputingMilieux_MISCELLANEOUS, Other Condensed Matter (cond-mat.other), Universal graph
Abstract

International audience; We demonstrate that a large class of one-dimensional quantum and classical exchange models can be described by the same type of graphs, namely Cayley graphs of the permutation group. Their well-studied spectral properties allow us to derive crucial information about those models of fundamental importance in both classical and quantum physics, and to completely characterize their algebraic structure. Notably, we prove that the spectral gap can be obtained in polynomial computational time, which has strong implications in the context of adiabatic quantum computing with quantum spin-chains. This quantity also characterizes the rate to stationarity of some important classical random processes such as interchange and exclusion processes. Reciprocally, we use results derived from the celebrated Bethe ansatz to obtain original mathematical results about these graphs in the unweighted case. We also discuss extensions of this unifying framework to other systems, such as asymmetric exclusion processes -- a paradigmatic model in non-equilibrium physics, or the more exotic non-Hermitian quantum systems.

Published
2020
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12. Atom-surface physics: A review

Author

David Wilkowski, Athanasios Laliotis, Martial Ducloy, Bing-Sui Lu, Laboratoire de Physique des Lasers (LPL), Centre National de la Recherche Scientifique (CNRS)-Université Sorbonne Paris Nord, Nanyang Technological University [Singapour], MajuLab (UMI 3654), and National University of Singapore (NUS)-Sorbonne Université (SU)

Subjects
Field (physics), Atomic Physics (physics.atom-ph), Computer Networks and Communications, Computer science, media_common.quotation_subject, FOS: Physical sciences, 01 natural sciences, Physics - Atomic Physics, 010305 fluids & plasmas, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], 0103 physical sciences, Atom, Physics::Atomic Physics, Simplicity, Electrical and Electronic Engineering, Physical and Theoretical Chemistry, 010306 general physics, Quantum, media_common, [PHYS]Physics [physics], Metamaterial, Condensed Matter Physics, Engineering physics, Atomic and Molecular Physics, and Optics, Sketch, Electronic, Optical and Magnetic Materials, Quantum technology, Computational Theory and Mathematics, Excited state
Abstract

An atom in front of a surface is one of the simplest and fundamental problem in physics. Yet, it allows testing quantum electrodynamics, while providing potential platforms and interfaces for quantum technologies. Despite, its simplicity, combined with strong scientific and technological interests, atom-surface physics, at its fundamental level, remains largely unexplored mainly because of challenges associated with precise control of the atom-surface distance. Nevertheless, substantial breakthroughs have been made over the last two decades. With the development of cold and quantum atomic gases, one has gained further control on atom-surface position, naturally leading to improved precision in the Casimir-Polder interaction measurement. Advances have also been reported in finding experimental knobs to tune and even reverse the Casimir-Polder interaction strength. So far, this has only been achieved for atoms in short-lived excited states, however, the rapid progresses in material sciences, e.g. metamaterials and topological materials have inspired new ideas for controlling the atom-surface interaction in long-lived states. In addition, combining nano-photonic and atom-surface physics is now envisioned for applications in quantum information processing. The first purpose of this review is to give a general overview on the latest experimental developments in atom-surface physics. The second main objective is to sketch a vision of the future of the field, mainly inspired by the abundant theoretical works and proposals available now in the literature., Comment: Review paper 43 pages, 6 figures

Published
2021
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13. Magnetic coherent population trapping in a single ion

Author

Swarup Das, Peiliang Liu, Benoît Grémaud, Manas Mukherjee, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), CPT - E6 Nanophysique, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Kastler Brossel (LKB (Jussieu)), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), MajuLab (UMI 3654), and National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Physics - Instrumentation and Detectors, [PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas], Atomic Physics (physics.atom-ph), Population, FOS: Physical sciences, Trapping, 01 natural sciences, Ion, law.invention, Physics - Atomic Physics, 010309 optics, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], law, 0103 physical sciences, 010306 general physics, education, ComputingMilieux_MISCELLANEOUS, Physics, education.field_of_study, Quantum Physics, Null (mathematics), Shot noise, Instrumentation and Detectors (physics.ins-det), Laser, Magnetic field, Dark state, Atomic physics, Quantum Physics (quant-ph)
Abstract

Magnetically induced coherent population trapping has been studied in a single trapped laser cooled ion. The magnetic field dependent narrow spectral feature is found to be an useful tool in determining the null point of magnetic field at the ion position. In particular, we use a double lambda scheme that allows us to measure the null magnetic field point limited by the detector shot noise. We analyzed the system theoretically and found certain long lived bright states as the dark state is generated under steady state condition., 7 pages, 8 figures, Journal article

Published
2017
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14. Two-dimensional network of atomtronic qubits

Author

Christian Miniatura, Rainer Dumke, Luigi Amico, Shabnam Safaei, Benoît Grémaud, Leong Chuan Kwek, MajuLab (UMI 3654), National University of Singapore (NUS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Kastler Brossel (LKB (Jussieu)), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Institut Non Linéaire de Nice Sophia-Antipolis (INLN), Centre National de la Recherche Scientifique (CNRS)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), School of Physical and Mathematical Sciences, Institute of Advanced Studies, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), CPT - E6 Nanophysique, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université Nice Sophia Antipolis (... - 2019) (UNS), and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Flux qubit, [PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas], FOS: Physical sciences, 01 natural sciences, 010305 fluids & plasmas, law.invention, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], law, Atomic and Molecular Physics, Lattice (order), 0103 physical sciences, Physics::Atomic Physics, 010306 general physics, Quantum tunnelling, Computer Science::Databases, Physics, Optical lattice, Scalable architecture, Atomtronic Qubits, Laser, Atomic and Molecular Physics, and Optics, Raman laser, Quantum Gases (cond-mat.quant-gas), Flux Qubits, Qubit, and Optics, Atomic physics, Condensed Matter - Quantum Gases
Abstract

Through a combination of laser beams, we engineer a two-dimensional optical lattice of Mexican hat potentials able to host atoms in its ring-shaped wells. When tunneling can be ignored (at high laser intensities), we show that a well-defined qubit can be associated with the states of the atoms trapped in each of the rings. Each of these two-level systems can be manipulated by a suitable configuration of Raman laser beams imprinting a synthetic flux onto each Mexican hat cell of the lattice. Overall, we believe that the system has the potential to form a scalable architecture for atomtronic flux qubits., Comment: 6 pages, 4 figures

Published
2016
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15. Limitations in Quantum Computing from Resource Constraints

Author

Marco Fellous-Asiani, Hui Khoon Ng, Alexia Auffèves, Jing Hao Chai, Robert S. Whitney, Nanophysique et Semiconducteurs (NPSC), Institut Néel (NEEL), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), Centre for Quantum Technologies [Singapore] (CQT), National University of Singapore (NUS), Laboratoire de physique et modélisation des milieux condensés (LPM2C ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA), Yale-NUS College, MajuLab (UMI 3654), and National University of Singapore (NUS)-Sorbonne Université (SU)

Subjects
Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Computer science, Distributed computing, Resource constraints, General Engineering, FOS: Physical sciences, 01 natural sciences, 010305 fluids & plasmas, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], Mesoscale and Nanoscale Physics (cond-mat.mes-hall), 0103 physical sciences, General Earth and Planetary Sciences, Quantum algorithm, Quantum Physics (quant-ph), 010306 general physics, [PHYS.COND.CM-MSQHE]Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall], General Environmental Science, Quantum computer
Abstract

Fault-tolerant schemes can use error correction to make a quantum computation arbitrarily ac- curate, provided that errors per physical component are smaller than a certain threshold and in- dependent of the computer size. However in current experiments, physical resource limitations like energy, volume or available bandwidth induce error rates that typically grow as the computer grows. Taking into account these constraints, we show that the amount of error correction can be opti- mized, leading to a maximum attainable computational accuracy. We find this maximum for generic situations where noise is scale-dependent. By inverting the logic, we provide experimenters with a tool to finding the minimum resources required to run an algorithm with a given computational accuracy. When combined with a full-stack quantum computing model, this provides the basis for energetic estimates of future large-scale quantum computers., 9 pages + Appendices; 6 figures. Improved presentation in the updated version, with a new discussion on crosstalk

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