Simulating open quantum systems by applying SU(4) to quantum master equations

TL;DR

This paper introduces a SU(4) group theory approach to efficiently simulate open quantum systems of two-level atoms coupled to a photon field, enabling exact solutions for complex phenomena like lasing and superradiance.

Contribution

The paper presents a novel application of SU(4) group theory to quantum master equations, providing a new method for simulating and solving many-atom open quantum systems.

Findings

Exact solutions for lasing and superradiance in many-atom systems

Efficient simulation of open quantum systems using SU(4) symmetry

Applicable to foundational quantum optics models

Abstract

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.