Quantum probing topological phase transitions by non-Markovianity. (arXiv:1907.05080v1 [quant-ph])

Understanding the physical significance and probing the global invariants
characterizing quantum topological phases in extended systems is a main
challenge in modern physics with major impact in different areas of science.
Here we propose a quantum-information-inspired probing method where topological
phase transitions are revealed by a non-Markovianity quantifier. We illustrate
our idea by considering the decoherence dynamics of an external read-out qubit
that probes a Su-Schrieffer-Heeger (SSH) chain with either pure dephasing or
dissipative coupling. Qubit decoherence features and non-Markovianity measure
clearly signal the topological phase transition of the SSH chain.

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