On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918448413540352 |
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| author | Gallone, Matteo |
| author_facet | Gallone, Matteo |
| contents | We study prethermalization in time-independent quantum many-body systems on a $d$-dimensional lattice with an extensive local Hamiltonian $H=N+\varepsilon P$, in the regime where $\varepsilon \ll 1$. We show that the prethermalization time is exponentially large in $\varepsilon_0/\varepsilon$, where $\varepsilon_0$ is the ratio between an effective spectral gap width and the local norm of $P$. We prove also that for exponentially long times, there exist two quasi-conserved quantities up to exponentially small errors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13781 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems Gallone, Matteo Mathematical Physics Statistical Mechanics We study prethermalization in time-independent quantum many-body systems on a $d$-dimensional lattice with an extensive local Hamiltonian $H=N+\varepsilon P$, in the regime where $\varepsilon \ll 1$. We show that the prethermalization time is exponentially large in $\varepsilon_0/\varepsilon$, where $\varepsilon_0$ is the ratio between an effective spectral gap width and the local norm of $P$. We prove also that for exponentially long times, there exist two quasi-conserved quantities up to exponentially small errors. |
| title | On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems |
| topic | Mathematical Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2604.13781 |