Symmetry Protected Topological Order in Open Quantum Systems

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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Cited by in corpus (8)

• Quantum criticality under decoherence or weak measurement
• Average Symmetry-Protected Topological Phases
• Symmetry protected topological phases under decoherence
• Rapid thermalization of spin chain commuting Hamiltonians
• Channeling quantum criticality
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Dissipative Symmetry-Protected Topological Order
• Antilinear superoperator, quantum geometric invariance, and antilinear symmetry for higher-dimensional quantum systems