Collective Dynamics of Bose--Einstein Condensates in Optical Cavities

Abstract

Recent experiments on Bose--Einstein condensates in optical cavities have reported a quantum phase transition to a coherent state of the matter-light system -- superradiance. The time dependent nature of these experiments demands consideration of collective dynamics. Here we establish a rich phase diagram, accessible by quench experiments, with distinct regimes of dynamics separated by non-equilibrium phase transitions. We include the key effects of cavity leakage and the back-reaction of the cavity field on the condensate. Proximity to some of these phase boundaries results in critical slowing down of the decay of many-body oscillations. Notably, this slow decay can be assisted by large cavity losses. Predictions include the frequency of collective oscillations, a variety of multi-phase co-existence regions, and persistent optomechanical oscillations described by a damped driven pendulum. These findings open new directions to study collective dynamics and non-equilibrium phase transitions in matter-light systems.

5 pages, 5 figures

References in corpus (22)

• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Chaos and the Quantum Phase Transition in the Dicke Model
• Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• Cavity QED with a Bose-Einstein condensate
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• The Dicke model phase transition in the quantum motion of a Bose-Einstein condensate in an optical cavity
• Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
• Self-organization of a Bose-Einstein condensate in an optical cavity
• Probing quantum phases of ultracold atoms in optical lattices by transmission spectra in cavity QED
• Mott insulator states of ultracold atoms in optical resonators
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Signatures of the super fluid-insulator phase transition in laser driven dissipative nonlinear cavity arrays
• Dynamical Coupling between a Bose-Einstein Condensate and a Cavity Optical Lattice
• Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
• Atom-molecule coexistence and collective dynamics near a Feshbach resonance of cold fermions
• Quantum stability of self-organized atomic insulator-like states in optical resonators
• Quantum noise of a Bose-Einstein condensate in an optical cavity, correlations and entanglement
• Integrable dynamics of coupled Fermi-Bose condensates
• Cavity QED determination of atomic number statistics in optical lattices
• Phase locking in quantum and classical oscillators: polariton condensates, lasers, and arrays of Josephson junctions
• The new physics of non-equilibrium condensates: insights from classical dynamics

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• REVIEW. Quantum optics with ultracold quantum gases: towards the full quantum regime of the light-matter interaction
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• Driven-Dissipative Dynamics of Atomic Ensembles in a Resonant Cavity I: Nonequilibrium Phase Diagram and Periodically Modulated Superradiance
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• Correlation-induced steady states and limit cycles in driven dissipative quantum systems
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