Dynamics of the Entanglement Spectrum of the Haldane Model under a Sudden Quench

doi:10.1088/0256-307X/37/6/060301

Chin. Phys. Lett.

2020, Vol. 37

Issue (6): 060301 DOI: 10.1088/0256-307X/37/6/060301

GENERAL

Dynamics of the Entanglement Spectrum of the Haldane Model under a Sudden Quench

Lin-Han Mo¹, Qiu-Lan Zhang^2**, Xin Wan^1,3

¹Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China
²School of Information Science and Engineering, Zhejiang University Ningbo Institute of Technology, Ningbo 315100, China
³CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China

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Lin-Han Mo, Qiu-Lan Zhang, Xin Wan 2020 Chin. Phys. Lett. 37 060301

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Abstract One of the appealing features of topological systems is the presence of robust edge modes. Under a sudden quantum quench, the edge modes survive for a characteristic time that scales with the system size, during which the nontrivial topology continues to manifest in entanglement properties, even though the post-quench Hamiltonian belongs to a trivial phase. We exemplify this in the quench dynamics of a two-dimensional Haldane model with the help of one-particle entanglement spectrum and the probability density of its mid-states. We find that, beyond our knowledge in one-dimensional models, the momentum dependence of the transverse velocity plays a crucial role in the out-of-equilibrium evolution of the entanglement properties.

Received: 26 March 2020 Published: 26 May 2020

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	03.65.Ud	(Entanglement and quantum nonlocality)

Fund: ^*Supported by the National Natural Science Foundation of China (Grant No. 11674282) and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000).

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https://cpl.iphy.ac.cn/10.1088/0256-307X/37/6/060301 OR https://cpl.iphy.ac.cn/Y2020/V37/I6/060301

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	Lin-Han Mo
	Qiu-Lan Zhang
	Xin Wan

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