Polaron-transformed dissipative Lipkin-Meshkov-Glick Model
Abstract
We investigate the Lipkin-Meshkov-Glick model coupled to a thermal bath. Since the isolated model itself exhibits a quantum phase transition, we explore the critical signatures of the open system. Starting from a system-reservoir interaction written in positive definite form, we find that the position of the critical point remains unchanged, in contrast to the popular mean-field prediction. Technically, we employ the polaron transform to be able to study the full crossover regime from the normal to the symmetry-broken phase, which allows us to investigate the fate of quantum-critical points subject to dissipative environments. The signatures of the phase transition are reflected in observables like stationary mode occupation or waiting-time distributions.
Cite
@article{arxiv.1906.04260,
title = {Polaron-transformed dissipative Lipkin-Meshkov-Glick Model},
author = {Wassilij Kopylov and Gernot Schaller},
journal= {arXiv preprint arXiv:1906.04260},
year = {2020}
}