Edge mode dynamics of quenched topological wires

TL;DR

This paper investigates the dynamics of edge and Majorana modes in topological wires after sudden parameter changes, revealing how edge states can be toggled and how Majoranas can be generated through quenches.

Contribution

It provides a detailed analysis of edge mode behavior post-quench, highlighting the role of wave function overlaps and the potential to control Majorana modes in topological systems.

Findings

Edge states exhibit oscillatory survival probabilities depending on quench type.

Edge states, including Majoranas, can be switched off and on through sequences of quenches.

Majorana modes can be generated from trivial phases via quenching.

Abstract

The fermionic and Majorana edge mode dynamics of various topological systems is compared, after a sudden global quench of the Hamiltonian parameters takes place. Attention is focused on the regimes where the survival probability of an edge state has oscillations either due to critical or off-critical quenches. The nature of the wave functions and the overlaps between the eigenstates of different points in parameter space determine the various types of behaviors, and the distinction due to the Majorana nature of the excitations plays a lesser role. Performing a sequence of quenches it is shown that the edge states, including Majorana modes, may be switched off and on. Also, the generation of Majoranas due to quenching from a trivial phase is discussed.