From prethermalization to chaos in periodically driven coupled rotors
arXiv:2108.11421 · doi:10.1103/PhysRevB.105.184302
Abstract
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 quasi-conserved 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.
References in corpus (10)
- Photovoltaic Hall effect in graphene
- Many-body localization in periodically driven systems
- Observation of a prethermal discrete time crystal
- Tailoring quantum gases by Floquet engineering
- Modulated Floquet Topological Insulators
- Periodically-driven quantum matter: the case of resonant modulations
- Classical Prethermal Phases of Matter
- Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
- Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
- Dynamics of fluctuation correlation in periodically driven classical system
Cited by in corpus (5)
- Quantum and classical Floquet prethermalization
- Thermalization slowing down in multidimensional Josephson junction networks
- Prethermalization in periodically-driven nonreciprocal many-body spin systems
- Statistical prethermalization in randomly kicked many-body classical rotor system
- Probing the localization effects in Krylov basis