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论文类型：期刊论文

发表刊物：Phys. Rev. A

卷号：99

期号：5

页面范围：053606

发表时间：2019-05-09

摘要：We propose a scheme to characterize topological phases with integer invariants through detecting topological charges via quench dynamics. The essential advantage of the current scheme is that only a single-(pseudo)spin component needs to be measured to extract the complete information of topological charges which determine the bulk topology of the phase. A topological charge depicts the chirality of a monopole at Dirac or Weyl point captured by the node of the (pseudo)spin-orbit coupling, and the topological phases are determined by total charges enclosed by the so-called band-inversion surfaces (BISs). We show a duality that measuring the ith spin component in quenching jth spin axis precisely equals to measuring the jth spin component in quenching the ith spin axis. With this we find that characterizing the complete information of topological charges is precisely mapped to measuring the quench (pseudo)spin dynamics of a single spin component caused by quenches along all spin axes. Therefore, the detection of topological physics involves measuring only a single spin component and has great experimental advantages. We numerically examine two concrete models, and propose a cold-atom experimental setup with high feasibility for measurement. This work paves the way to dynamically classify topological phases.