# Quantum probing topological phase transitions by non-Markovianity

## TL;DR

This paper introduces a quantum-information-based method to detect topological phase transitions in quantum systems by analyzing non-Markovianity in qubit decoherence dynamics, providing a new way to probe global invariants.

## Contribution

It proposes a novel approach using non-Markovianity quantifiers to identify topological phase transitions in extended quantum systems, demonstrated with the SSH model.

## Key findings

- Non-Markovianity signals topological phase transitions.
- Qubit decoherence dynamics reveal system topology.
- Method applicable to dephasing and dissipative couplings.

## Abstract

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, a quantum-information-inspired probing method is proposed where topological phase transitions are revealed by a non-Markovianity quantifier. The idea is illustrated 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.