Bistability and nonequilibrium condensation in a driven-dissipative Josephson array: a c-field model
Abstract
Developing theoretical models for nonequilibrium quantum systems poses significant challenges. Here we develop and study a multimode model of a driven-dissipative Josephson junction chain of atomic Bose-Einstein condensates, as realised in the experiment of Labouvie et al. [Phys. Rev. Lett. 116, 235302 (2016)]. The model is based on c-field theory, a beyond-mean-field approach to Bose-Einstein condensates that incorporates fluctuations due to finite temperature and dissipation. We find the c-field model is capable of capturing all key features of the nonequilibrium phase diagram, including bistability and a critical slowing down in the lower branch of the bistable region. Our model is closely related to the so-called Lugiato-Lefever equation, and thus establishes new connections between nonequilibrium dynamics of ultracold atoms with nonlinear optics, exciton-polariton superfluids, and driven damped sine-Gordon systems.
Cite
@article{arxiv.2102.02949,
title = {Bistability and nonequilibrium condensation in a driven-dissipative Josephson array: a c-field model},
author = {Matthew T. Reeves and Matthew J. Davis},
journal= {arXiv preprint arXiv:2102.02949},
year = {2023}
}
Comments
12 pages, 10 figures