Dynamics of fluctuation correlation in periodically driven classical system

Kundu, Aritra; Rajak, Atanu; Nag, Tanay

doi:10.48550/arxiv.2102.12622

Cited by 1 publication

(1 citation statement)

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“…When the ratio between the driving frequency and the temperature is large, the heating rate is suppressed by the low probability for the GGE to satisfy the conditions of a many-body resonance [43], leading to a statistical Floquet prethermalization. In a recent work, the different dynamical regimes of the system were further characterized by considering spatio-temporal correlations [46]. In analogy to the static case [45], these correlations show a diffusive behavior inside the prethermal regime, thus supporting the quasi-static nature of the prethermal state.…”

Section: Introductionmentioning

confidence: 87%

From prethermalization to chaos in periodically driven coupled rotors

Sadia,

Torre,

Rajak

2021

Preprint

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Periodically driven (Floquet) systems are said to prethermalize when their energy absorption is very slow for long time. This effect was first discovered in quantum spin models, where the heating rate is exponentially small in the ratio between the driving frequency and the spin bandwidth. Recently, it was shown that prethermalization occurs also in classical systems with an infinite bandwidth. Here, we address the open question of which small parameter controls the lifetime of the prethermal state in these systems. We, first, numerically study the dependence of the lifetime on the initial conditions and on the connectivity in a system of periodically driven coupled rotors. We find that the lifetime is controlled by the temperature of the prethermal state, which is quasiconserved when the heating is slow. This finding allows us to develop a simple analytical model that describes the crossover from prethermalization to chaos in many-body classical systems.

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Section: Introductionmentioning

confidence: 87%