Dissipation driven dynamical topological phase transitions in two-dimensional superconductors

TL;DR

This paper investigates a topological phase transition in two-dimensional superconductors driven by dissipation, using the Lindblad equation to analyze the dynamics and identify critical behavior relevant for experiments.

Contribution

The study introduces a novel approach to analyze dynamical topological phase transitions in superconductors via the Lindblad formalism, including the effects of quasiparticle interactions and fluctuations.

Findings

Identified a dissipation-driven topological phase transition in 2D superconductors.

Derived the relaxation dynamics of the order parameter using Lindblad equations.

Provided insights into how system-bath coupling influences critical times for phase transitions.

Abstract

We induce and study a topological dynamical phase transition between two planar superconducting phases. Using the Lindblad equation to account for the interactions of Bogoliubov quasiparticles among themselves and with the fluctuations of the superconducting order parameter, we derive the relaxation dynamics of the order parameter. To characterize the phase transition, we compute the fidelity and the spin-Hall conductance of the open system. Our approach provides crucial informations for experimental implementations, such as the dependence of the critical time on the system-bath coupling.