Majorana-like oscillation for edge states in one-dimensional topological chain with dissipative couplings

TL;DR

This paper demonstrates that shared dissipative environments in a one-dimensional topological chain can induce Majorana-like oscillations of edge states, offering a new method to manipulate topological phases and edge states in quantum systems.

Contribution

It reveals how common dissipative couplings can induce Majorana-like oscillations and change the topological phase in a 1D SSH chain, providing a novel control mechanism.

Findings

Shared dissipative environments induce non-Hermitian edge state oscillations.

Dissipative coupling can transform a trivial phase into a nontrivial topological phase.

Proposed experimental measurement within current superconducting circuit technology.

Abstract

The oscillation of Majorana modes with near zero energy plays a very important role for ascertaining Majorana fermions. The edge states, which also have almost-zero-energy in one-dimensional Su-Schrieffer-Heeger chain (SSHc), have been extensively studied for their topologically protected properties when the on-sites have dissipations induced by independent environments. We here show that common environments shared by each pair of the nearest neighbour sites in the SSHc can result in dissipative couplings between sites, and thus change topologically trivial phase to nontrivial one. The Majorana-like oscillation for the finite-size hybridizations of two non-Hermitian edge states with complex localization lengths can be induced by the dissipative coupling. The controllable topology parameter of the SSHc plays the role of the magnetic field in the nanowire for controlling Majorana oscillation. The measurement for the oscillation is proposed. Our study provides a new way to manipulate edge states and is experimentally feasible within current technology of superconducting quantum circuits.