Quantum probing topological phase transitions by non-Markovianity

Giorgi, Gian Luca; Longhi, Stefano; Cabot, Albert; Zambrini, Roberta
Submitted (2019)

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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