Lindblad Master Equations for Quantum Systems Coupled to Dissipative Bosonic Modes.

Area of Science:

• Quantum Optics
• Quantum Thermodynamics
• Condensed Matter Physics

Background:

• Coupling quantum subsystems to dissipative environments is crucial for understanding open quantum systems.
• Deriving accurate master equations for such systems is challenging but essential for theoretical modeling.

Purpose of the Study:

• To present a general formalism for deriving Lindblad master equations for subsystems coupled to dissipative bosonic modes.
• To apply this formalism to the dissipative Dicke model and analyze its quantum dynamics.

Main Methods:

• Utilizing a Schrieffer-Wolff transformation to eliminate bosonic degrees of freedom.
• Self-consistently determining the state of bosonic modes as a function of the quantum system.
• Applying the derived master equation to the Dicke model and comparing with exact diagonalization and semiclassical trajectories.

Main Results:

• A general method for deriving Lindblad master equations for coupled quantum-bosonic systems.
• Accurate prediction of the Dicke phase transition and steady-state properties.
• Demonstration of quantum metastability in the relaxation dynamics of a NOON state.

Conclusions:

• The developed formalism provides an accurate and versatile tool for studying open quantum systems.
• The method successfully captures complex quantum phenomena, including phase transitions and metastability.
• This approach facilitates a deeper understanding of quantum dynamics in dissipative environments.