Quench dynamics across topological quantum phase transitions

ORAL

Abstract

We study the dynamics of systems quenched through topological quantum phase transitions and investigate the behavior of the bulk and edge excitations with various quench rates. Specifically, we consider the Haldane model and checkerboard model in slow quench processes with distinct band-touching structures leading to topology changes. The generation of bulk excitations is found to obey the power-law relation Kibble-Zurek and Landau-Zener theories predict. However, an anti-Kibble-Zurek behavior is observed in the edge excitations. The mechanism of excitation generation on edge states is revealed, which explains the anti-Kibble-Zurek behavior.

Reference: PRB 97, 235144 (2018)

*This work was supported by National Science Foundation Grant No. DMR-1442366 and was performed at the National High Magnetic Field Laboratory, which is supported by National Science Foundation Cooperative Agreement No. DMR-1644779 and the state of Florida.

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Presenters

  • Shiuan-Fan Liou

    • Physics, National High Magnetic Field Laboratory and Florida State University

Authors

  • Shiuan-Fan Liou

    • Physics, National High Magnetic Field Laboratory and Florida State University

  • Kun Yang

    • Florida State University
    • National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32306, USA
    • Physics, National High Magnetic Field Laboratory and Florida State University
    • Florida State University, Tallahassee, Florida, USA
    • National High Magnetic Field Laboratory and Department of Physics, Florida State University