Prethermalization and conservation laws in quasi-periodically-driven quantum systems
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910562121678848 |
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| author | Gallone, Matteo Langella, Beatrice |
| author_facet | Gallone, Matteo Langella, Beatrice |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_14022 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Prethermalization and conservation laws in quasi-periodically-driven quantum systems Gallone, Matteo Langella, Beatrice Mathematical Physics Statistical Mechanics Quantum Physics 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. |
| title | Prethermalization and conservation laws in quasi-periodically-driven quantum systems |
| topic | Mathematical Physics Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2306.14022 |