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

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 tho...

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Bibliographic Details
Published in:Chinese physics letters 2020-06, Vol.37 (6), p.60301
Main Authors: Mo, Lin-Han, Zhang, Qiu-Lan, Wan, Xin
Format: Article
Language:English
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Summary: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 .
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/37/6/060301