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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.04137 |
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| _version_ | 1866909825573584896 |
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| author | Gallone, Matteo Langella, Beatrice |
| author_facet | Gallone, Matteo Langella, Beatrice |
| contents | We study the dynamics of a quantum many-body lattice system with a local Hamiltonian subjected to a quasi-periodic driving with finite regularity. For sufficiently large driving frequencies, we prove that the system remains in a prethermal state for times growing polynomially with the frequency, and we show the optimality of this bound by constructing an explicit example that nearly saturates it. Within this prethermal regime, the dynamics is captured by an effective time-independent local Hamiltonian close to the undriven one. The proof relies on a non convergent normal form scheme, combined with original smoothing techniques for finitely differentiable local operators, and Lieb-Robinson bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04137 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polynomial Prethermal Lifetimes in Non Smoothly Driven Quantum Systems Gallone, Matteo Langella, Beatrice Mathematical Physics We study the dynamics of a quantum many-body lattice system with a local Hamiltonian subjected to a quasi-periodic driving with finite regularity. For sufficiently large driving frequencies, we prove that the system remains in a prethermal state for times growing polynomially with the frequency, and we show the optimality of this bound by constructing an explicit example that nearly saturates it. Within this prethermal regime, the dynamics is captured by an effective time-independent local Hamiltonian close to the undriven one. The proof relies on a non convergent normal form scheme, combined with original smoothing techniques for finitely differentiable local operators, and Lieb-Robinson bounds. |
| title | Polynomial Prethermal Lifetimes in Non Smoothly Driven Quantum Systems |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2510.04137 |