Detection of topological quantum phases using dynamical methods

Dynamic and topological phenomena correspond to many new characteristics of matter and have broad application prospects. Focusing on the one-dimensional spin system, different types of topological phases are detected from the viewpoint of non-equilibrium dynamics. The concept of single-site excitation quantum quench is introduced considering the characteristic topological edge state of a topological phase to investigate topological phases. Owing to the protection of edge states against boundary disturbances for a topologically non-trivial phase, the rate function of the Loschmidt echo under quantum quench shows quite different dynamic behaviours during application of single-site excitation on the boundary and interior sites, while no such difference is observed for a topologically trivial phase. This phenomenon also exists on the time-evolved order parameters. The method discussed in this work provides a deep understanding regarding topological protection and a new way to characterise topological phases from the dynamical viewpoints.(c) 2022 Elsevier B.V. All rights reserved.