Symmetry Protected Topological Order in Open Quantum Systems

• URL: http://arxiv.org/abs/2112.04483v3
• Date: Wed, 9 Nov 2022 12:21:24 GMT
• Title: Symmetry Protected Topological Order in Open Quantum Systems
• Authors: Caroline de Groot, Alex Turzillo and Norbert Schuch
• Abstract summary: We find that one-dimensional symmetry protected topological (SPT) order is robust against noisy couplings to the environment that satisfy a strong symmetry condition. We discuss "transmutation" of SPT phases into other SPT phases of equal or lesser complexity, under noisy channels that satisfy twisted versions of the strong symmetry condition.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We systematically investigate the robustness of symmetry protected topological (SPT) order in open quantum systems by studying the evolution of string order parameters and other probes under noisy channels. We find that one-dimensional SPT order is robust against noisy couplings to the environment that satisfy a strong symmetry condition, while it is destabilized by noise that satisfies only a weak symmetry condition, which generalizes the notion of symmetry for closed systems. We also discuss "transmutation" of SPT phases into other SPT phases of equal or lesser complexity, under noisy channels that satisfy twisted versions of the strong symmetry condition.

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