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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2506.22121 |
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| _version_ | 1866912722827870208 |
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| author | Ptaszynski, Krzysztof Chudak, Maciej Esposito, Massimiliano |
| author_facet | Ptaszynski, Krzysztof Chudak, Maciej Esposito, Massimiliano |
| contents | Information-theoretic quantities have received significant attention as system-independent measures of correlations in many-body quantum systems, e.g., as universal order parameters of synchronization. In this work, we present a method to determine the macroscopic behavior of the steady-state multipartite mutual information between $N$ interacting units undergoing Markovian evolution that is invariant under unit permutations. Using this approach, we extend a conclusion previously drawn for classical systems that the extensive scaling of mutual information is either not possible for systems relaxing to fixed points of the mean-field dynamics or such scaling is not robust to perturbations of system dynamics. In contrast, robust extensive scaling occurs for system relaxing to time-dependent attractors, e.g., limit cycles. We illustrate the applicability of our method on the driven-dissipative Lipkin-Meshkov-Glick model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22121 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems Ptaszynski, Krzysztof Chudak, Maciej Esposito, Massimiliano Quantum Physics Information-theoretic quantities have received significant attention as system-independent measures of correlations in many-body quantum systems, e.g., as universal order parameters of synchronization. In this work, we present a method to determine the macroscopic behavior of the steady-state multipartite mutual information between $N$ interacting units undergoing Markovian evolution that is invariant under unit permutations. Using this approach, we extend a conclusion previously drawn for classical systems that the extensive scaling of mutual information is either not possible for systems relaxing to fixed points of the mean-field dynamics or such scaling is not robust to perturbations of system dynamics. In contrast, robust extensive scaling occurs for system relaxing to time-dependent attractors, e.g., limit cycles. We illustrate the applicability of our method on the driven-dissipative Lipkin-Meshkov-Glick model. |
| title | Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.22121 |