中国物理B ›› 2021, Vol. 30 ›› Issue (2): 26402-0.doi: 10.1088/1674-1056/abd742

所属专题： SPECIAL TOPIC — Quantum computation and quantum simulation

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  • 收稿日期:2020-08-29 修回日期:2020-11-26 接受日期:2020-12-30 出版日期:2021-01-18 发布日期:2021-01-29

Quench dynamics in 1D model with 3rd-nearest-neighbor hoppings

Shuai Yue(岳帅)1,2, Xiang-Fa Zhou(周祥发)1,2,†, and Zheng-Wei Zhou(周正威)1,2,‡   

  1. 1 Key Laboratory of Quantum Information, Chinese Academy of Sciences, Hefei 230026, China; 2 Department of Optics and Optical Engineering, University of Science and Technology of China, Hefei 230026, China
  • Received:2020-08-29 Revised:2020-11-26 Accepted:2020-12-30 Online:2021-01-18 Published:2021-01-29
  • Contact: †Corresponding author. E-mail: xfzhou@ustc.cn ‡Corresponding author. E-mail: zwzhou@ustc.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11974334, 11574294, and 11774332).

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Abstract: The non-equilibrium dynamics of a one-dimensional (1D) topological system with 3rd-nearest-neighbor hopping has been investigated by analytical and numerical methods. An analytical form of topological defect density under the periodic boundary conditions (PBC) is obtained by using the Landau-Zener formula (LZF), which is consistent with the scaling of defect production provided by the Kibble-Zurek mechanism (KZM). Under the open boundary conditions (OBC), quench dynamics becomes more complicated due to edge states. The behaviors of the system quenching across different phases show that defect production no longer satisfies the KZM paradigm since complicated couplings exist under OBC. Some new dynamical features are revealed.

Key words: Kibble-Zurek mechanism, Landau-Zener transition, topological defect, topological insulator

中图分类号:  (Dynamic critical phenomena)

  • 64.60.Ht
42.50.Ex (Optical implementations of quantum information processing and transfer) 42.50.Xa (Optical tests of quantum theory)