Dynamics of the Entanglement Zero Modes in the Haldane Model under a Quantum Quench
Heng-Xi Ji1, Lin-Han Mo1, and Xin Wan1,2*
1Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China 2CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
Abstract：We investigate evolution of entanglement spectra of the Haldane model for Chern insulators upon a sudden quench within the same topological phase. In particular, we focus on the location of the entanglement spectrum crossing, which signifies the bulk topology. It is shown that the coplanarity condition for the pseudomagnetic field of the model, which can be used to determine the crossing in the equilibrium case, needs to be relaxed. We analytically derive the non-equilibrium condition with the help of an edge-state wave function ansatz and a dynamically induced length-scale cutoff. With spectral analyses, it is realized that the oscillatory behavior of the crossing is dominated by the interband excitations at the van Hove singularities.
. [J]. 中国物理快报, 2022, 39(3): 30301-.
Heng-Xi Ji, Lin-Han Mo, and Xin Wan. Dynamics of the Entanglement Zero Modes in the Haldane Model under a Quantum Quench. Chin. Phys. Lett., 2022, 39(3): 30301-.
2022, Vol. 39 
