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

2019/01/10 by Feng Mei, Gang Chen, Lin Tian +2
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.98.032323

published as Physical Review A 98, 032323 (2018) · 7 pages, 3 figures. arXiv admin note: text overlap with arXiv:1711.07751

arxiv created 2019/01/10 · arxiv updated 2019/01/16

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 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 topological Chern number and be used to generate a novel 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.

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