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

Feng Mei, Gang Chen, Lin Tian, Shi-Liang Zhu, and Suotang Jia
Phys. Rev. A 98, 032323 – Published 21 September 2018

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.

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  • Received 31 July 2018

DOI:https://doi.org/10.1103/PhysRevA.98.032323

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Feng Mei1,2,*, Gang Chen1,2,†, Lin Tian3,‡, Shi-Liang Zhu4,5,§, and Suotang Jia1,2

  • 1State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, Shanxi 030006, China
  • 2Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China
  • 3School of Natural Sciences, University of California, Merced, California 95343, USA
  • 4National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China
  • 5Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, SPTE, South China Normal University, Guangzhou 510006, China

  • *meifeng@sxu.edu.cn
  • chengang971@163.com
  • ltian@ucmerced.edu
  • §slzhu@nju.edu.cn

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Issue

Vol. 98, Iss. 3 — September 2018

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