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DY: Fachverband Dynamik und Statistische Physik
DY 29: Poster: Quantum Dynamics and Many-body Systems
DY 29.5: Poster
Mittwoch, 19. März 2025, 15:00–18:00, P4
Anisotropic Dicke model in the presence of periodic and quasiperiodic drive — •Pragna Das1, Devendra Singh Bhakuni2, Lea F. Santos3, and Auditya Sharma4 — 1Department of Theoretical Physics, J. Stefan Institute, SI-1000 Ljubljana, Slovenia — 2The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151 Trieste, Italy — 3Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA — 4Indian Institute of Science Education and Research, Bhopal 462066, India
We analyze the anisotropic Dicke model in the presence of a periodic drive and under a quasiperiodic drive. We show that under a quasiperiodic Fibonacci (Thue-Morse) drive, the system features a prethermal plateau that increases as an exponential (stretched exponential) with the driving frequency before heating to an infinite-temperature state. In contrast, when the model is periodically driven, the dynamics reaches a plateau that is not followed by heating. In either case, the plateau value depends on the energy of the initial state and on the parameters of the undriven Hamiltonian. Surprisingly, this value does not always approach the infinitetemperature state monotonically as the frequency of the periodic drive decreases. We also show how the drive modifies the quantum critical point and discuss open questions associated with the analysis of level statistics at intermediate frequencies.
Keywords: Anisotropic Dicke model; Periodically driven system; Quasiperiodic drive (Thue-Morse and Fibonacci); Prethermal plateau; Infinite temperature state