Proposal for many-body quantum chaos detection with single-site measurements
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918162215206912 |
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| author | Vallejo-Fabila, Isaías Das, Adway Kumar Choudhury, Sayan Santos, Lea F. |
| author_facet | Vallejo-Fabila, Isaías Das, Adway Kumar Choudhury, Sayan Santos, Lea F. |
| contents | We demonstrate that the long-time dynamics of an observable associated with a single lattice site is sufficient to determine whether a many-body quantum system exhibits level statistics characteristic of random matrix theory, a widely used diagnostic of quantum chaos. In particular, we focus on the partial survival probability and spin autocorrelation function at a single site, both evolved under a disordered spin-1/2 chain, which is a setup realizable in current experimental platforms. Given the precision and timescales currently achievable, our results indicate that the detection of many-body quantum chaos is feasible, but constrained to small system sizes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proposal for many-body quantum chaos detection with single-site measurements Vallejo-Fabila, Isaías Das, Adway Kumar Choudhury, Sayan Santos, Lea F. Statistical Mechanics Disordered Systems and Neural Networks We demonstrate that the long-time dynamics of an observable associated with a single lattice site is sufficient to determine whether a many-body quantum system exhibits level statistics characteristic of random matrix theory, a widely used diagnostic of quantum chaos. In particular, we focus on the partial survival probability and spin autocorrelation function at a single site, both evolved under a disordered spin-1/2 chain, which is a setup realizable in current experimental platforms. Given the precision and timescales currently achievable, our results indicate that the detection of many-body quantum chaos is feasible, but constrained to small system sizes. |
| title | Proposal for many-body quantum chaos detection with single-site measurements |
| topic | Statistical Mechanics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2505.05572 |