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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2603.18394 |
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| _version_ | 1866915888821698560 |
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| author | Liu, Xinyu |
| author_facet | Liu, Xinyu |
| contents | This paper establishes a natural quantum counterpart of weak equilibration for statistical ensembles in integrable systems. For quantum systems with pure point spectrum, single-time expectation values under unitary evolution are typically quasiperiodic, and hence generally do not admit a pointwise limit as $t\to\infty$. To overcome this difficulty, we introduce a weighted time-averaging procedure and prove that the resulting averaged dynamics converge to the diagonal (dephased) equilibrium state. We further illustrate and validate the theoretical result through a three-spin quantum integrable model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18394 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weighted Time Averages and Weak Convergence to Equilibrium in Quantum Integrable Systems Liu, Xinyu Dynamical Systems This paper establishes a natural quantum counterpart of weak equilibration for statistical ensembles in integrable systems. For quantum systems with pure point spectrum, single-time expectation values under unitary evolution are typically quasiperiodic, and hence generally do not admit a pointwise limit as $t\to\infty$. To overcome this difficulty, we introduce a weighted time-averaging procedure and prove that the resulting averaged dynamics converge to the diagonal (dephased) equilibrium state. We further illustrate and validate the theoretical result through a three-spin quantum integrable model. |
| title | Weighted Time Averages and Weak Convergence to Equilibrium in Quantum Integrable Systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2603.18394 |