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1. Spectral properties of the critical (1+1)-dimensional Abelian-Higgs model

Author

Polish Grid Infrastructure, European Commission, Ministero dell'Istruzione, dell'Università e della Ricerca, Ministerio de Ciencia e Innovación (España), Ministerio de Asuntos Económicos y Transformación Digital (España), Fundació Privada Cellex, Fundación Privada Mir-Puig, Generalitat de Catalunya, Barcelona Supercomputing Center, Fundación la Caixa, National Science Centre (Poland), Jagiellonian University in Kraków, Consejo Superior de Investigaciones Científicas (España), https://ror.org/02gfc7t72, Chanda, T., Dalmonte, M., Lewenstein, M., Zakrzewski, J., Tagliacozzo, Luca, Polish Grid Infrastructure, European Commission, Ministero dell'Istruzione, dell'Università e della Ricerca, Ministerio de Ciencia e Innovación (España), Ministerio de Asuntos Económicos y Transformación Digital (España), Fundació Privada Cellex, Fundación Privada Mir-Puig, Generalitat de Catalunya, Barcelona Supercomputing Center, Fundación la Caixa, National Science Centre (Poland), Jagiellonian University in Kraków, Consejo Superior de Investigaciones Científicas (España), https://ror.org/02gfc7t72, Chanda, T., Dalmonte, M., Lewenstein, M., Zakrzewski, J., and Tagliacozzo, Luca

Abstract

The presence of gauge symmetry in 1+1 dimensions is known to be redundant, since it does not imply the existence of dynamical gauge bosons. As a consequence, in the continuum, the Abelian-Higgs model (i.e., the theory of bosonic matter interacting with photons) just possesses a single phase, as the higher-dimensional Higgs and Coulomb phases are connected via nonperturbative effects. However, recent research published in Phys. Rev. Lett. 128, 090601 (2022)0031-900710.1103/PhysRevLett.128.090601 has revealed an unexpected phase transition when the system is discretized on the lattice. This transition is described by a conformal field theory with a central charge of c=3/2. In this paper, we aim to characterize the two components of this c=3/2 theory - namely the free Majorana fermionic and bosonic parts - through equilibrium and out-of-equilibrium spectral analyses.

Published
2024

2. Phase Diagram of 1+1 D Abelian-Higgs Model and Its Critical Point

Author

Polish Grid Infrastructure, National Science Centre (Poland), Agencia Estatal de Investigación (España), Ministerio de Ciencia e Innovación (España), Fundació Privada Cellex, Fundación Privada Mir-Puig, Generalitat de Catalunya, Chanda, Titas, Lewenstein, Maciej, Zakrzewski, Jakub, Tagliacozzo, Luca, Polish Grid Infrastructure, National Science Centre (Poland), Agencia Estatal de Investigación (España), Ministerio de Ciencia e Innovación (España), Fundació Privada Cellex, Fundación Privada Mir-Puig, Generalitat de Catalunya, Chanda, Titas, Lewenstein, Maciej, Zakrzewski, Jakub, and Tagliacozzo, Luca

Abstract

We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidence for its description as the product of two noninteracting systems: a massless free fermion and a massless free boson. However, we find also some surprising results that cannot be explained by our simple picture, suggesting this newly discovered critical point is an unusual one.

Published
2022

3. Phase Diagram of 1+1 D Abelian-Higgs Model and Its Critical Point

Author

Chanda, Titas, Lewenstein, Maciej, Zakrzewski, Jakub, Tagliacozzo, Luca, Polish Grid Infrastructure, National Science Centre (Poland), Agencia Estatal de Investigación (España), Ministerio de Ciencia e Innovación (España), Fundació Privada Cellex, Fundación Privada Mir-Puig, and Generalitat de Catalunya

Abstract

6 pags., 3 figs., We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidence for its description as the product of two noninteracting systems: a massless free fermion and a massless free boson. However, we find also some surprising results that cannot be explained by our simple picture, suggesting this newly discovered critical point is an unusual one., The numerical computations have been possible thanks to PL-Grid Infrastructure. The works of T. C. and J. Z have been realized within the QuantERA grant QTFLAG, financed by National Science Centre (Poland) via Grant 2017/25/Z/ST2/03029. M. L. acknowledges support from ERC AdG NOQIA; Agencia Estatal de Investigacion (R&D project CEX2019-000910-S, funded by MCIN/ AEI/10.13039/501100011033, Plan National FIDEUA PID2019-106901GB-I00, FPI, QUANTERA MAQS PCI2019-111828-2, Proyectos de I+D+I “Retos Colaboracion” RTC2019-007196-7); Fundacio Cellex; Fundacio Mir-Puig; Generalitat de Catalunya through the CERCA program, AGAUR Grant No. 2017 SGR 134, QuantumCAT U16-011424, co-funded by ERDF Operational Program of Catalonia 2014-2020; EU Horizon 2020 FET-OPEN OPTOLogic (Grant No 899794); National Science Centre, Poland (Symfonia Grant No. 2016/20/W/ST4/00314); Marie SkłodowskaCurie grant STREDCH No. 101029393; “La Caixa” Junior Leaders fellowships (ID100010434) and EU Horizon 2020 under Marie Skłodowska-Curie grant agreement No. 847648 (LCF/BQ/PI19/11690013, LCF/BQ/ PI20/11760031, LCF/BQ/PR20/11770012, LCF/BQ/ PR21/11840013). L. T. acknowledges support from the Ramón y Cajal program RYC-2016-20594, the “Plan Nacional Generación de Conocimiento” PGC2018- 095862-B-C22, the State Agency for Research of the Spanish Ministry of Science and Innovation through the “Unit of Excellence María de Maeztu 2020-2023” award to the Institute of Cosmos Sciences (CEX2019-000918-M), and the European Union Regional Development Fund within the ERDF Operational Program of Catalunya, Spain (project QUASICAT/QuantumCat, ref. 001-P001644).

Published
2022

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