Multimode mean-field model for the quantum phase transition of a Bose-Einstein condensate in an optical resonator

Abstract

We develop a mean-field model describing the Hamiltonian interaction of ultracold atoms and the optical field in a cavity. The Bose-Einstein condensate is properly defined by means of a grand-canonical approach. The model is efficient because only the relevant excitation modes are taken into account. However, the model goes beyond the two-mode subspace necessary to describe the self-organization quantum phase transition observed recently. We calculate all the second-order correlations of the coupled atom field and radiation field hybrid bosonic system, including the entanglement between the two types of fields.

10 pages

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Cited by in corpus (22)

• Cold atoms in cavity-generated dynamical optical potentials
• Real-time observation of fluctuations at the driven-dissipative Dicke phase transition
• Umklapp Superradiance from a Collisionless Quantum Degenerate Fermi Gas
• REVIEW. Quantum optics with ultracold quantum gases: towards the full quantum regime of the light-matter interaction
• Bose-Einstein Condensation versus Dicke-Hepp-Lieb Transition in an Optical Cavity
• Controllability of optical bistability, cooling and entanglement in hybrid cavity optomechanical systems by nonlinear atom-atom interaction
• Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction
• Nonlinear effects of atomic collisions on the optomechanical properties of a Bose-Einstein condensate in an optical cavity
• Engineering Photonic Floquet Hamiltonians through Fabry Pérot Resonators
• Damping of quasiparticles in a Bose-Einstein condensate coupled to an optical cavity
• Self-ordering dynamics of ultracold atoms in multicolored cavity fields
• Finite-size scaling in the quantum phase transition of the open-system Dicke-model
• The effect of atomic collisions on the quantum phase transition of a Bose-Einstein condensate inside an optical cavity
• Self-Ordered stationary states of driven quantum degenerate gases in optical resonators
• Triangular and Honeycomb Lattices of Cold Atoms in Optical Cavities
• Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model
• Phase noise and squeezing spectra of the output field of an optical cavity containing an interacting Bose-Einstein condensate
• Photonic tuning of quasi-particle decay in a superfluid
• Cavity optomechanics with a trapped, interacting Bose-Einstein condensate
• Raman superradiance and spin lattice of ultracold atoms in optical cavities
• Nonequilibrium polariton dynamics in a Bose-Einstein condensate coupled to an optical cavity
• Dynamics of a hybrid optomechanical system in the framework of the generalized linear response theory