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

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.

References in corpus (5)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum information processing with circuit quantum electrodynamics
• Dissipative Phase Transition in Central Spin Systems
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State

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