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

Fuente: arXiv
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Autores principales: Stepanenko, Andrei A., Gorlach, Maxim A.
Formato: Preprint
Publicado: 2021
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author Stepanenko, Andrei A.
Gorlach, Maxim A.
author_facet Stepanenko, Andrei A.
Gorlach, Maxim A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2103_10924
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Probing the topology of the two-photon bands via time-dependent quantum walks
Stepanenko, Andrei A.
Gorlach, Maxim A.
Mesoscale and Nanoscale Physics
Optics
Quantum Physics
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.
title Probing the topology of the two-photon bands via time-dependent quantum walks
topic Mesoscale and Nanoscale Physics
Optics
Quantum Physics
url https://arxiv.org/abs/2103.10924