Measuring a dynamical topological order parameter in quantum walks

Xu Xiao-Ye; Wang Qin-Qin; Heyl Markus; Budich Jan Carl; Pan Wei-Wei; Chen Zhe; Jan Munsif; Sun Kai; Xu Jin-Shi; Han Yong-Jian; Li Chuan-Feng; Guo Guang-Can

doi:10.1038/s41377-019-0237-8

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Measuring a dynamical topological order parameter in quantum walks

Article

- Measuring a dynamical topological order parameter in quantum walks
- Light: Science & Applications Vol. 9, Issue 1, Pages: 60-70(2020)
- Affiliations：
  
  1.CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
  2.CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
  3.Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straẞe 38, D-01187 Dresden, Germany
  4.Institute of Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany
- Author bio：
  
  Yong-Jian Han (smhan@ustc.edu.cn)
  Chuan-Feng Li (cfli@ustc.edu.cn)
- Funds：
- DOI：10.1038/s41377-019-0237-8
  CLC：
- Published：2020，
  
  Published Online：20 January 2020，
  
  Received：11 June 2019，
  
  Revised：18 December 2019，
  
  Accepted：18 December 2019
- Accepted：
Scan QR Code
Xu, X. Y. et al. Measuring a dynamical topological order parameter in quantum walks. Light: Science & Applications, 9, 60–70 (2020).
DOI：

Xu, X. Y. et al. Measuring a dynamical topological order parameter in quantum walks. Light: Science & Applications, 9, 60–70 (2020). DOI： 10.1038/s41377-019-0237-8.

摘要

Abstract

Quantum processes of inherent dynamical nature

such as quantum walks

defy a description in terms of an equilibrium statistical physics ensemble. Until now

identifying the general principles behind the underlying unitary quantum dynamics has remained a key challenge. Here

we show and experimentally observe that split-step quantum walks admit a characterization in terms of a dynamical topological order parameter (DTOP). This integer-quantized DTOP measures

at a given time

the winding of the geometric phase accumulated by the wavefunction during a quantum walk. We observe distinct dynamical regimes in our experimentally realized quantum walks

and each regime can be attributed to a qualitatively different temporal behavior of the DTOP. Upon identifying an equivalent manybody problem

we reveal an intriguing connection between the nonanalytic changes of the DTOP in quantum walks and the occurrence of dynamical quantum phase transitions.

关键词

Keywords

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