Prethermalization and conservation laws in quasi-periodically-driven quantum systems
- URL: http://arxiv.org/abs/2306.14022v3
- Date: Mon, 12 Aug 2024 10:23:35 GMT
- Title: Prethermalization and conservation laws in quasi-periodically-driven quantum systems
- Authors: Matteo Gallone, Beatrice Langella,
- Abstract summary: We study laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving.
We show that 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. {When the frequency of the driving is large enough or the strength of the driving is small enough, we prove a Nekhoroshev-type stability result: we show that 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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