English

Quench Dynamics Across Topological Quantum Phase Transitions

Strongly Correlated Electrons 2018-07-04 v3

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.

Keywords

Cite

@article{arxiv.1804.10725,
  title  = {Quench Dynamics Across Topological Quantum Phase Transitions},
  author = {Shiuan-Fan Liou and Kun Yang},
  journal= {arXiv preprint arXiv:1804.10725},
  year   = {2018}
}

Comments

7 pages, 7 figures

R2 v1 2026-06-23T01:38:44.970Z