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 cro...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.展开更多
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 th...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.展开更多
基金supported in part by the National Natural Science Foundation of China(Grant No.11674282)the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB28000000)。
文摘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.
基金Supported by the National Natural Science Foundation of China(Grant No.11674282)the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB28000000)。
文摘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.
