Random product states at high temperature equilibrate exponentially well
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912025716719616 |
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| author | Huang, Yichen |
| author_facet | Huang, Yichen |
| contents | We prove that for all but a measure zero set of local Hamiltonians, starting from random product states at sufficiently high but finite temperature, with overwhelming probability expectation values of observables equilibrate such that at sufficiently long times, fluctuations around the stationary value are exponentially small in the system size. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random product states at high temperature equilibrate exponentially well Huang, Yichen Statistical Mechanics Mathematical Physics Quantum Physics We prove that for all but a measure zero set of local Hamiltonians, starting from random product states at sufficiently high but finite temperature, with overwhelming probability expectation values of observables equilibrate such that at sufficiently long times, fluctuations around the stationary value are exponentially small in the system size. |
| title | Random product states at high temperature equilibrate exponentially well |
| topic | Statistical Mechanics Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2409.08436 |