西南理论物理中心系列报告：Dynamical geometry in topological systems under a sudden quench

报告摘要： As emphasized by F. D. M. Haldane in his geometrical description of fractional quantum Hall effect, systems characterized by the same topology can exhibit distinct geometrical properties, the understanding of which opens new dimensions in our study of topological systems. In this talk, I will describe the geometrical aspects of a topologically nontrivial system under a sudden quantum quench within the same topological phase. Using Haldane’s honeycomb model as a concrete example, I will demonstrate that the geometrical information can be extracted from the properties of the zero modes in the dynamical entanglement spectrum, whose spectral peaks arise from the constructive interference of particle-hole pair excitations. In particular, the evaluation of the momentum and velocity of the entanglement zero mode makes it possible to map the trajectory of the quench dynamics, even though the dynamical system approaches the equilibrium ground state only in the long-time limit.

报告人介绍：Xin Wan studied physics at Fudan University and graduated in 1995. He received his PhD degree in Electrical Engineering from Princeton University in 2000. He then worked as postdoc at the National High Magnetic Field Laboratory in Tallahassee and the Karlsruhe Research Center (now Karlsruhe Institute of Technology). He joined Zhejiang University in 2005 as Professor in Physics at Zhejiang Institute of Modern Physics. His main interest is condensed matter theory, in particular on the topological and quantum information aspects of disordered and interacting electronic systems.