Classification of Mixed State Topology in One Dimension

Seminar

We show how to apply the concepts of identifying and classifying symmetry protected topological phases in 1D to the case of a general mixed state. The concepts are reviewed using a concrete spin-1 model, and are demonstrated numerically using matrix product state algorithms for the mixed state. We find a transient regime after driving the topological state out of equilibrium in which the topological nature of the state remains.

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