Entanglement and operator correlation signatures of many-body quantum Zeno phases in inefficiently monitored noisy systems
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| Format: | Preprint |
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2024
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| _version_ | 1866913432889982976 |
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| author | Leung, Chun Y. Romito, Alessandro |
| author_facet | Leung, Chun Y. Romito, Alessandro |
| contents | The interplay between information-scrambling Hamiltonians and local continuous measurements hosts platforms for exotic measurement-induced phase transition in out-of-equilibrium steady states. Here, we consider such transitions under the addition of local random white noise and measurement inefficiency in a XX spin chain. We identify a non-monotonic dependence on the local noise strength in both the averaged entanglement and operator correlations, specifically the subsystem parity variance. While the non-monotonicity persists at any finite efficiency for the operator correlations, it disappears at finite inefficiency for the entanglement. The analysis of scaling with the system size in a finite length chain indicates that, at finite efficiency, this effect leads to distinct MiPTs for operator correlations and entanglement. Our result hints at a difference between area-law entanglement scaling and Zeno-localized phases for inefficient monitoring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11723 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement and operator correlation signatures of many-body quantum Zeno phases in inefficiently monitored noisy systems Leung, Chun Y. Romito, Alessandro Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons The interplay between information-scrambling Hamiltonians and local continuous measurements hosts platforms for exotic measurement-induced phase transition in out-of-equilibrium steady states. Here, we consider such transitions under the addition of local random white noise and measurement inefficiency in a XX spin chain. We identify a non-monotonic dependence on the local noise strength in both the averaged entanglement and operator correlations, specifically the subsystem parity variance. While the non-monotonicity persists at any finite efficiency for the operator correlations, it disappears at finite inefficiency for the entanglement. The analysis of scaling with the system size in a finite length chain indicates that, at finite efficiency, this effect leads to distinct MiPTs for operator correlations and entanglement. Our result hints at a difference between area-law entanglement scaling and Zeno-localized phases for inefficient monitoring. |
| title | Entanglement and operator correlation signatures of many-body quantum Zeno phases in inefficiently monitored noisy systems |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2407.11723 |