Emergent topology and symmetry-breaking order in correlated quench dynamics

演讲人: Xiong-Jun Liu Peking University
时间: 2019-05-20 11:00-2019-05-20 12:00
地点:FIT 1-222

Topological phase of matter is a main stream of research in condensed matter physics, with the characterization having been mainly developed based on equilibrium theory. In comparison, non-equilibrium dynamics induced by quenching a quantum system may carry information of both the initial phase and post-quench target phase. In this talk I will introduce how to characterize topological quantum phases by far-from-equilibrium quantum dynamics induced by quench, and further explore dynamically both the topology and symmetry-breaking order in correlated topological system. In free-fermion topological phases, we show a dynamical bulk-surface correspondence relates the dD bulk topology to dynamical topological pattern emerging in the (d-1)D band-inversion surfaces (BISs) in momentum space, similar to the well-known bulk-boundary correspondence in the real space. In the interacting regime, the quantum pseudospin dynamics is shown to follow a microscopic Landau-Lifshitz-Gilbert equation and exhibit robust universal behaviors on the BISs, from which the nontrivial topology and magnetic orders can be extracted. In particular, the topology can be characterized by an emergent topological pattern of quench dynamics on BISs, which is robust against dephasing and heating induced by interactions; the pre-quench symmetry-breaking orders can be read out from a universal scaling behavior of the quench dynamics emerging on the BIS. These results may show insights into the exploration of novel correlation physics with nontrivial topology by quench dynamics.