Exploring quantum phases by driven dissipation

TL;DR

This paper investigates how purely dissipative couplings can be used to explore quantum phases and phase transitions in open quantum systems, focusing on models like the transverse field Ising model and $ ext{Z}_2$ lattice gauge theory.

Contribution

It introduces and analyzes purely dissipative versions of key quantum models, revealing phase diagrams that qualitatively mirror their Hamiltonian counterparts.

Findings

Purely dissipative models exhibit phase diagrams similar to thermal phase diagrams.

Mean field analysis shows qualitative parallels between dissipative and Hamiltonian phase diagrams.

Demonstrates the potential of dissipation as a tool to explore quantum phases.

Abstract

Ever since the insight spreaded that tailored dissipation can be employed to control quantum systems and drive them towards pure states, the field of non-equilibrium quantum mechanics gained remarkable momentum. So far research focussed on emergent phenomena caused by the interplay and competition of unitary Hamiltonian and dissipative Markovian dynamics. In this manuscript we zero in on a so far rather understudied aspect of open quantum systems and non-equilibrium physics, namely the utilization of purely dissipative couplings to explore pure quantum phases and non-equilibrium phase transitions. To illustrate this concept, we introduce and scrutinize purely dissipative counterparts of (1) the paradigmatic transverse field Ising model and (2) the considerably more complex $\mathbb{Z}_2$ lattice gauge theory with coupled matter field. We show that, in mean field approximation, the non-equilibrium phase diagrams parallel the (thermal) phase diagrams of the Hamiltonian "blue print" theories qualitatively.