Edge of entanglement in non-ergodic states: a complexity parameter formulation
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913604959207424 |
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| author | Shekhar, Devanshu Shukla, Pragya |
| author_facet | Shekhar, Devanshu Shukla, Pragya |
| contents | We analyze the subsystem size scaling of the entanglement entropy of a non-ergodic pure state that can be described by a multi-parametric Gaussian ensemble of complex matrices in a bipartite basis. Our analysis indicates, for a given set of global constraints, the existence of infinite number of universality classes of local complexity, characterized by the complexity parameter, for which the entanglement entropy reveals a universal scaling with subsystem size. A rescaling of the complexity parameter helps us to identify the critical regime for the entanglement entropy of a broad range of pure non-ergodic states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12796 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Edge of entanglement in non-ergodic states: a complexity parameter formulation Shekhar, Devanshu Shukla, Pragya Quantum Physics Disordered Systems and Neural Networks We analyze the subsystem size scaling of the entanglement entropy of a non-ergodic pure state that can be described by a multi-parametric Gaussian ensemble of complex matrices in a bipartite basis. Our analysis indicates, for a given set of global constraints, the existence of infinite number of universality classes of local complexity, characterized by the complexity parameter, for which the entanglement entropy reveals a universal scaling with subsystem size. A rescaling of the complexity parameter helps us to identify the critical regime for the entanglement entropy of a broad range of pure non-ergodic states. |
| title | Edge of entanglement in non-ergodic states: a complexity parameter formulation |
| topic | Quantum Physics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2310.12796 |