When Homogeneous Systems Meet Dissipation and Disorder

TL;DR

This paper explores how bond dissipation can induce localization and topological phase transitions in a homogeneous one-dimensional system, revealing that dissipation can fundamentally alter the system's properties.

Contribution

It demonstrates that bond dissipation can cause localization and topological changes in a homogeneous system's non-equilibrium steady state, even without initial disorder.

Findings

Dissipation induces localization in initially homogeneous systems.

The NESS can be topologically non-trivial despite a trivial initial system.

Initial localization influences the NESS's localization properties.

Abstract

We investigate the localization and topological properties of the non-equilibrium steady state (NESS) in a one-dimensional homogeneous system. Our results demonstrate that, despite the absence of disorder in the initial system, the NESS can exhibit localization under bond dissipation. These dissipation-driven localization and delocalization phenomena are clearly distinguished using Wigner distributions. Furthermore, we find that the initial localization characteristics of the system significantly influence the localization properties of the NESS. Drawing upon the concept of Bose-Einstein condensate broadening in cold-atom experiments, along with experimental data, we systematically characterize the impact of bond dissipation and disorder on the localization and topological properties of the NESS. The phase diagram reveals that the NESS can be topologically non-trivial even when the initial system is topologically trivial, and that the topological triviality of the initial system strengthens the topological non-triviality of the NESS. This work provides new insights into the localization and topological phase transitions in homogeneous systems induced by bond dissipation and disorder.