Simulating Open Quantum Systems using the Simple Lie Group SU(4)
Minghui Xu, David Tieri, Murray Holland · arXiv (Cornell University) · 2013
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.