Probing the topology of the two-photon bands via time-dependent quantum walks

• URL: http://arxiv.org/abs/2103.10924v1
• Date: Fri, 19 Mar 2021 17:36:35 GMT
• Title: Probing the topology of the two-photon bands via time-dependent quantum walks
• Authors: Andrei A. Stepanenko and Maxim A. Gorlach
• Abstract summary: Topological protection of quantum correlations opens new horizons and opportunities in quantum technologies. We propose an approach to independently probe single- and two-photon topological invariants in a one-dimensional array of qubits. Our analysis of the Zak phase reveals additional facets of topological protection in the case of collapse of bound photon pairs.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Topological protection of quantum correlations opens new horizons and opportunities in quantum technologies. A variety of topological effects has recently been observed in qubit networks. However, the experimental identification of the topological phase still remains challenging, especially in the entangled many-body case. Here, we propose an approach to independently probe single- and two-photon topological invariants from the time evolution of the two-photon state in a one-dimensional array of qubits. Extending the bulk-boundary correspondence to the two-photon scenario, we show that an appropriate choice of the initial state enables the retrieval of the topological invariant for the different types of the two-photon states in the interacting Su-Schrieffer-Heeger model. Our analysis of the Zak phase reveals additional facets of topological protection in the case of collapse of bound photon pairs.

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