Dynamics of the Entanglement Spectrum of the Haldane Model under a Sudden Quench *
Lin-Han Mo1, Qiu-Lan Zhang2**, Xin Wan1,3
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
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.
. [J]. 中国物理快报, 2020, 37(6): 60301-.
Lin-Han Mo, Qiu-Lan Zhang, Xin Wan. Dynamics of the Entanglement Spectrum of the Haldane Model under a Sudden Quench *. Chin. Phys. Lett., 2020, 37(6): 60301-.
2020, Vol. 37 
