Disentangling transitions in topological order induced by boundary decoherence
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917538961555456 |
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| author | Lu, Tsung-Cheng |
| author_facet | Lu, Tsung-Cheng |
| contents | We study the entanglement structure of topological orders subject to decoherence on the bipartition boundary. Focusing on the toric codes in $d$ space dimensions for $d=2,3,4$, we explore whether the boundary decoherence may be able to induce a disentangling transition, characterized by the destruction of mixed-state long-range entanglement across the bipartition, measured by topological entanglement negativity. A key insight of our approach is the connection between the negativity spectrum of the decohered mixed states and emergent symmetry-protected topological orders under certain symmetry-preserving perturbation localized on the bipartition boundary. This insight allows us to analytically derive the exact results of entanglement negativity without using a replica trick. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Disentangling transitions in topological order induced by boundary decoherence Lu, Tsung-Cheng Quantum Physics Statistical Mechanics Strongly Correlated Electrons We study the entanglement structure of topological orders subject to decoherence on the bipartition boundary. Focusing on the toric codes in $d$ space dimensions for $d=2,3,4$, we explore whether the boundary decoherence may be able to induce a disentangling transition, characterized by the destruction of mixed-state long-range entanglement across the bipartition, measured by topological entanglement negativity. A key insight of our approach is the connection between the negativity spectrum of the decohered mixed states and emergent symmetry-protected topological orders under certain symmetry-preserving perturbation localized on the bipartition boundary. This insight allows us to analytically derive the exact results of entanglement negativity without using a replica trick. |
| title | Disentangling transitions in topological order induced by boundary decoherence |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2404.06514 |