（中国科学院大学）

报告摘要：Symmetry-protected topological (SPT) phases are short-range entangled quantum states whose defining feature is anomalous boundary behavior, reflecting a bulk–boundary correspondence. In this talk, I propose a framework to probe two-dimensional SPT phases using reduced density matrices and disorder parameters. We show that the reduced density matrix of a subsystem naturally encodes a mixed-state anomaly, which serves as a bulk diagnostic of the underlying SPT order. This anomaly also leads to measurable signatures in disorder parameters. Our results establish a connection between mixed-state anomalies and observable disorder responses, providing a route to detecting SPT phases, with potential relevance for numerical simulations and experimental probes.