Dispersive Regimes of the Dicke Model

Area of Science:

• Quantum Optics
• Atomic Physics
• Condensed Matter Physics

Background:

• The Dicke model describes N two-level atoms interacting with a bosonic mode.
• Understanding dispersive regimes is crucial for quantum system dynamics.

Purpose of the Study:

• To analyze two dispersive regimes of the Dicke model for long interaction times.
• To provide analytically tractable frameworks for system behavior analysis.

Main Methods:

• Analysis of the deep strong coupling regime (equal qubit frequencies, strong coupling).
• Investigation of photon-number-dependent interactions.
• Numerical simulations of qubit population and photon statistics.

Main Results:

• Discovery of unexpected resonances in the deep strong coupling regime for N ≥ 2.
• Demonstration of nontrivial dynamics solely within atomic degrees of freedom in the photon-number-dependent regime for a given Fock state.

Conclusions:

• The study provides analytical frameworks for Dicke model dynamics in specific regimes.
• Unexpected phenomena like resonances and localized atomic dynamics are identified and verified.