We show that open quantum systems of two-level atoms symmetrically coupled to a single-mode photon field can be efficiently simulated by applying a SU(4) group theory to quantum master equations. This is important since many foundational examples in quantum optics fall into this class. We demonstrate the method by finding exact solutions for many-atom open quantum systems such as lasing and steady state superradiance.
@article{arxiv.1302.6284,
title = {Simulating open quantum systems by applying SU(4) to quantum master equations},
author = {Minghui Xu and D. A. Tieri and M. J. Holland},
journal= {arXiv preprint arXiv:1302.6284},
year = {2013}
}