1. Many-body parametric resonances in the driven sine-Gordon model
- Author
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Lovas, Izabella, Citro, Roberta, Demler, Eugene, Giamarchi, Thierry, Knap, Michael, Orignac, Edmond, Kavli Institute for Theoretical Physics [Santa Barbara] (KITP), University of California [Santa Barbara] (UC Santa Barbara), University of California (UC)-University of California (UC), Dipartamento di Fisica 'E. R. Caianiello', Università degli Studi di Salerno = University of Salerno (UNISA)-SuPerconducting and other INnovative materials and devices institute (SPIN-CNR), INFN Sezione di Napoli-Gruppo Collegato di Salerno, Department of Physics [Harvard], Harvard University, Department of Quantum Matter Physics [Geneva] (DQMP), Université de Genève = University of Geneva (UNIGE), Technische Universität Munchen - Université Technique de Munich [Munich, Allemagne] (TUM), Laboratoire de Physique de l'ENS Lyon (Phys-ENS), and École normale supérieure de Lyon (ENS de Lyon)-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)
- Subjects
semiclassical ,higher-order ,FOS: Physical sciences ,gap ,parametric ,Wigner ,dimension ,[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] ,oscillator ,correlation function ,[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat] ,capture ,many-body systems ,Quantum Physics ,density ,sine-Gordon model ,variational ,parametric resonance ,suppression ,Hamiltonian ,resonance ,Quantum Gases (cond-mat.quant-gas) ,correlation ,many-body problem ,time dependence ,Quantum Physics (quant-ph) ,Condensed Matter - Quantum Gases ,absorption ,energy - Abstract
We study a quantum many-body variant of the parametric oscillator, by investigating the driven sine-Gordon model with a modulated tunnel coupling via a semi-classical Truncated Wigner Approximation (TWA). We first analyze the parametric resonant regime for driving protocols that retain our model gapped, and compare the TWA to a Time-Dependent Gaussian Variational Ansatz (TGVA). We then turn to a drive which closes the gap, resulting in an enhanced energy absorption. While the TGVA approach breaks down in this regime, we can apply TWA to explore the dynamics of the mode-resolved energy density, and the higher-order correlations between modes in the prethermal heating regime. For weak driving amplitude, we find an exponentially fast energy absorption in the main resonant mode, while the heating of all remaining modes is almost perfectly suppressed on short time scales. At later times, the highly excited main resonance provides effective resonant driving terms for its higher harmonics through the non-linearities in the Hamiltonian, and gives rise to an exponentially fast heating in these particular modes. We capture the strong correlations induced by these resonant processes by evaluating higher order connected correlation functions. Our results can be experimentally probed in ultracold atomic settings, with parallel one-dimensional quasi-condensates in the presence of a modulated tunnel coupling., 19 pages, 10 figures (including appendix), minor edits, discussion in Sec. IVB extended
- Published
- 2022