Quench Dynamics Across Topological Quantum Phase Transitions

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.

arXiv comment7 pages, 7 figures

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• Kibble-Zurek behavior in disordered Chern insulators
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Experimentally verifying anti-Kibble-Zurek behavior in a quantum system under noisy control field
• Topological quantum quench dynamics carrying arbitrary Hopf and second-Chern numbers
• Quench dynamics and scaling laws in topological nodal loop semimetals
• Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
• Cross-dimensional universality classes in static and periodically driven Kitaev models
• Quench Dynamics in 1D Optomechanical Arrays
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
• Universal Landau-Zener regimes in dynamical topological phase transitions
• Kibble-Zurek behavior in a topological phase transition with a quadratic band crossing
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Topological quantum control: Edge currents via Floquet depinning of skyrmions in the $\nu =0$ graphene quantum Hall antiferromagnet
• Multipartite Entanglement in Crossing the Quantum Critical Point
• Finite-rate quench in disordered Chern and $Z_2$ topological insulators
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• Anomalous Dynamical Scaling at Topological Quantum Criticality