Boundary-induced dynamics in 1D topological systems and memory effects of edge modes

Abstract

Dynamics induced by a change of boundary conditions reveals rate-dependent signatures associated with topological properties in one-dimensional Kitaev chain and SSH model. While the perturbation from a change of the boundary propagates into the bulk, the density of topological edge modes in the case of transforming to open boundary condition reaches steady states. The steady-state density depends on the transformation rate of the boundary and serves as an illustration of quantum memory effects in topological systems. Moreover, while a link is physically broken as the boundary condition changes, some correlation functions can remain finite across the broken link and keep a record of the initial condition. By testing those phenomena in the non-topological regimes of the two models, none of the interesting signatures of memory effects can be observed. Our results thus contrast the importance of topological properties in boundary-induced dynamics.

10 pages, 8 figures, submitted

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Cited by in corpus (8)

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• Real-space effects of a quench in the Su-Schrieffer-Heeger model and elusive dynamical appearance of the topological edge states
• Protocols for dynamically probing topological edge states and dimerization with fermionic atoms in optical potentials
• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
• On the adiabatic theorem when eigenvalues dive into the continuum
• Dynamics of 2D topological quadrupole insulator and Chern insulator induced by real-space topological changes