Classification of Mixed State Topology in One Dimension

Abstract

We show how to generalize the concepts of identifying and classifying symmetry protected topological phases in 1D to the case of an arbitrary mixed state. The pure state concepts are reviewed using a concrete spin-1 model. For the mixed state setup we demonstrate our findings numerically using matrix product state algorithms. Starting from the ground state and applying various types of noise sources we find a transient regime where the system is driven out of equilibrium while retaining its topological properties.

4 pages + appendix

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Cited by in corpus (4)

• Symmetry-protected Topological Phases at Finite Temperature
• Topological order of mixed states in quantum many-body systems
• Topological characterization of one-dimensional open fermionic systems
• Quantized single-particle Thouless pump induced by topology transfer from a Chern insulator at finite temperature