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

doi:10.1088/1674-1056/abd742

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.

Keywords: Kibble-Zurek mechanism Landau-Zener transition topological defect topological insulator

Received: 29 August 2020
Revised: 26 November 2020
Accepted manuscript online: 30 December 2020

PACS:	64.60.Ht	(Dynamic critical phenomena)
	42.50.Ex	(Optical implementations of quantum information processing and transfer)
	42.50.Xa	(Optical tests of quantum theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11974334, 11574294, and 11774332).

Corresponding Authors: ^†Corresponding author. E-mail: xfzhou@ustc.cn ^‡Corresponding author. E-mail: zwzhou@ustc.cn

Cite this article:

Shuai Yue(岳帅), Xiang-Fa Zhou(周祥发), and Zheng-Wei Zhou(周正威) Quench dynamics in 1D model with 3rd-nearest-neighbor hoppings 2021 Chin. Phys. B 30 026402

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

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