Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains

Feng Mei; Gang Chen; Lin Tian; Shi-Liang Zhu; Suotang Jia

doi:10.1103/PhysRevA.98.032323

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Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains

Feng Mei, Gang Chen, Lin Tian, Shi-Liang Zhu, Suotang Jia

DOI 10.1103/PhysRevA.98.032323 · Physical Review A

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Abstract

We propose a protocol using a tunable Xmon qubit chain to construct generalized Su-Schrieffer-Heeger (SSH) models that support various topological phases. We study the time evolution of a single-excitation quantum state in a SSH-type qubit chain and find that such dynamics is linked to the topological winding number. We also investigate the adiabatic transfer of a single-excitation quantum state in a generalized SSH-type qubit chain and show that this process can be connected with the topological Chern number and be used to generate an entanglement-dependent topological pumping. All results have been demonstrated to be robust against qubit coupling imperfections and can be observed in a short Xmon qubit chain. Our study provides a simple method to directly measure topological invariants rooted in momentum space using quantum dynamics in real space.