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Condensed Matter > Statistical Mechanics
Title: Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
(Submitted on 18 Dec 2020 (v1), last revised 28 Apr 2021 (this version, v3))
Abstract: We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide numerical evidence for the formation of a parametrically long-lived prethermal plateau, captured by an effective Floquet Hamiltonian computed using the replica inverse-frequency expansion, and demonstrate its stability w.r.t.~random perturbations in the drive period. Considering exclusively nonintegrable Floquet Hamiltonians, we find that heating rates are non-universal: we observe Fermi's Golden Rule scaling, power-law scaling inconsistent with the Golden Rule, and non-power law scaling, depending on the drive. Despite the asymptotic character of the inverse-frequency expansion, we show that it describes the thermostatic properties of the state all along the evolution up to infinite temperature, with higher-order terms improving the accuracy. Our results suggest a dynamical mechanism to gradually increase temperature in isolated quantum simulators, such as ultracold atoms, and open up an alternative possibility to investigate thermal phase transitions and the interplay between thermal and quantum criticality using Floquet drives.
Submission history
From: Christoph Fleckenstein [view email][v1] Fri, 18 Dec 2020 17:55:11 GMT (1944kb,D)
[v2] Wed, 13 Jan 2021 11:57:54 GMT (1944kb,D)
[v3] Wed, 28 Apr 2021 13:49:02 GMT (1945kb,D)
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