Boundary anomaly detection in two-dimensional subsystem symmetry-protected topological phases

• URL: http://arxiv.org/abs/2412.07563v1
• Date: Tue, 10 Dec 2024 14:53:54 GMT
• Title: Boundary anomaly detection in two-dimensional subsystem symmetry-protected topological phases
• Authors: Ke Ding, Hao-Ran Zhang, Bai-Ting Liu, Shuo Yang,
• Abstract summary: We develop a method to detect quantum anomalies in systems with subsystem symmetry. Using numerical simulations, we demonstrate the power of this method by identifying strong and weak $Ztautimes Zsigma$ SSPT phases. We extend the anomaly indicator to mixed-state density matrices and show that quantum anomalies of subsystem symmetry can persist under both uniform and alternating disorders.
• Score: 20.518529676631122
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• Abstract: We develop a method to detect quantum anomalies in systems with subsystem symmetry, building on the concept of anomaly indicators. This approach allows us to distinguish different subsystem symmetry-protected topological (SSPT) phases and uncover new ones. Using numerical simulations, we demonstrate the power of this method by identifying strong and weak $Z_2^\tau\times Z_2^\sigma$ SSPT phases in a tunable tensor network state. Our analysis reveals an intrinsic $Z_2$ SSPT phase characterized by its degenerate entanglement spectrum. Furthermore, we extend the anomaly indicator to mixed-state density matrices and show that quantum anomalies of subsystem symmetry can persist under both uniform and alternating disorders. This finding establishes a connection between boundary quantum anomalies in pure and mixed states. Our work provides a comprehensive framework for detecting and constructing topological quantum phases protected by subsystem symmetries, offering new insights into these exotic quantum phases.

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