Dilute gas of ultracold two-level atoms inside a cavity; generalized Dicke model

Abstract

We consider a gas of ultracold two-level atoms confined in a cavity, taking into account for atomic center-of-mass motion and cavity mode variations. We use the generalized Dicke model, and analyze separately the cases of a Gaussian, and a standing wave mode shape. Owing to the interplay between external motional energies of the atoms and internal atomic and field energies, the phase-diagrams exhibit novel features not encountered in the standard Dicke model, such as the existence of first and second order phase transitions between normal and superradiant phases. Due to the quantum description of atomic motion, internal and external atomic degrees of freedom are highly correlated leading to modified normal and superradiant phases.

10 pages, 7 figures

References in corpus (20)

• 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
• Bose-Einstein condensate coupled to a nanomechanical resonator on an atom chip
• Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
• Mott insulator states of ultracold atoms in optical resonators
• Critical Property of Geometric Phase in the Dicke Model
• Cavity-enhanced superradiant Rayleigh scattering with ultra-cold and Bose-Einstein condensed atoms
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
• Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
• First-order super-radiant phase transitions in a multi-qubit--cavity system
• Exotic quantum phase transitions in a Bose-Einstein condensate coupled to an optical cavity
• Scaling behavior in the adiabatic Dicke Model
• Cold Fermi atomic gases in a pumped optical resonator
• Quantum criticality in a generalized Dicke model
• Detuning effects in the one-photon mazer
• Optically controlled spin-glasses in multi-qubit cavity systems
• Optical signatures of quantum phase transitions in a light-matter system
• Coupled two-component atomic gas in an optical lattice
• Quantum fluctuations in the mazer

Cited by in corpus (25)

• Cold atoms in cavity-generated dynamical optical potentials
• The Dicke model phase transition in the quantum motion of a Bose-Einstein condensate in an optical cavity
• Dicke quantum spin glass of atoms and photons
• Umklapp Superradiance from a Collisionless Quantum Degenerate Fermi Gas
• Dicke model simulation via cavity-assisted Raman transitions
• Bose-Einstein Condensation versus Dicke-Hepp-Lieb Transition in an Optical Cavity
• Superradiant Solid in Cavity QED Coupled to a Lattice of Rydberg Gas
• Disorder-Driven Density and Spin Self-Ordering of a Bose-Einstein Condensate in a Cavity
• Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model
• Light-shift-induced quantum phase transitions of a Bose-Einstein condensate in the optical cavities
• Dicke simulators with emergent collective quantum computational abilities
• Multi-stability in an optomechanical system with two-component Bose-Einstein condensate
• Bose--Hubbard Models Coupled to Cavity Light Fields
• Strongly localized polaritons in an array of trapped two-level atoms interacting with a light field
• Critical relaxation with overdamped quasiparticles in open quantum systems
• Probing the quantum phase transition in the Dicke model through mechanical vibrations
• High temperature phase transition in the coupled atom-light system in the presence of optical collisions
• Cavity-induced emergent topological spin textures in a Bose Einstein condensate
• On the finite size behavior of quantum collective spin systems
• Finite temperature Dicke phase transition of a Bose-Einstein condensate in an optical cavity
• Extended JC-Dicke model for a two-component atomic BEC inside a cavity
• Superradiance phase transition in the presence of parameter fluctuations
• Field-dependent superradiant quantum phase transition of molecular magnets in microwave cavities
• Opto-mechanical effects in self-organization of a Bose-Einstein condensate in an optical cavity
• Travelling to exotic places with cavity QED systems