Disentangling transitions in topological order induced by boundary decoherence

• URL: http://arxiv.org/abs/2404.06514v2
• Date: Sat, 27 Apr 2024 00:15:54 GMT
• Title: Disentangling transitions in topological order induced by boundary decoherence
• Authors: Tsung-Cheng Lu,
• Abstract summary: We study the entanglement structure of topological orders subject to decoherence on the bipartition boundary. We find that the boundary decoherence may be able to induce a disangling transition, characterized by the destruction of mixed-state long-range entanglement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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