Collapse-revival dynamics and atom-field entanglement in the non-resonant Dicke model

Abstract

We consider the dynamics of atomic and field coherent states in the non-resonant Dicke model. At weak coupling an initial product state evolves into a superposition of multiple field coherent states that are correlated with the atomic configuration. This process is accompanied by the buildup and decay of atom-field entanglement and leads to the periodic collapse and revival of Rabi oscillations. We provide a perturbative derivation of the underlying dynamical mechanism that complements the rotating wave approximation at resonance. The identification of two different time scales explains how the dynamical signatures depend on the sign of detuning between the atomic and field frequency, and predicts the generation of either atomic or field cat states in the two opposite cases. We finally discuss the restrictions that the buildup of atom-field entanglement during the collapse of Rabi oscillations imposes on the validity of semi-classical approximations that neglect entanglement.

arXiv comment9 pages, 10 figures. Published version

References in corpus (10)

• Quantum entanglement
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Coherent dynamics of a flux qubit coupled to a harmonic oscillator
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• Entanglement and the Phase Transition in Single Mode Superradiance
• Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
• Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
• Royal Road to Coupling Classical and Quantum Dynamics
• Entanglement and decoherence of N atoms and a mesoscopic field in a cavity

Cited by in corpus (10)

• Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
• Dynamics of the Dicke model close to the classical limit
• Rabi oscillations, decoherence, and disentanglement in a qubit-spin-bath system: exact dynamics
• Robust quantum correlations in out-of-equilibrium matter-light systems
• Large dynamic light-matter entanglement from driving neither too fast nor too slow
• Non-equilibrium dynamics of the Dicke model for mesoscopic aggregates: signatures of superradiance
• Dispersive Regimes of the Dicke Model
• Asymmetric sequential Landau-Zener dynamics of Bose condensed atoms in a cavity
• Quantum Signatures of Chaos in Anisotropic Quantum Rabi Model
• Long-time signatures of chaos in large atom-light frequency ratios Rabi model