Prethermalization and conservation laws in quasi-periodically-driven
quantum systems
- URL: http://arxiv.org/abs/2306.14022v2
- Date: Fri, 28 Jul 2023 12:23:06 GMT
- Title: Prethermalization and conservation laws in quasi-periodically-driven
quantum systems
- Authors: Matteo Gallone and Beatrice Langella
- Abstract summary: We study conservation laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving.
We show that, when the frequency of the driving is large enough or the strength of the driving is small enough, the system exhibits a prethermal state for stretched exponentially long times in the perturbative parameter.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study conservation laws of a general class of quantum many-body systems
subjected to an external time dependent quasi-periodic driving. We show that,
when the frequency of the driving is large enough or the strength of the
driving is small enough, the system exhibits a prethermal state for stretched
exponentially long times in the perturbative parameter. Moreover, we prove the
quasi-conservation of the constants of motion of the unperturbed Hamiltonian
and we analyze their physical meaning in examples of relevance to condensed
matter and statistical physics.
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