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

2009/02/28 by Jonas Larson, Maciej Lewenstein · 1 citation
Computer Science · Physics and Astronomy · #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Degrees of freedom (physics and chemistry) #Field (mathematics) #Gaussian #Phase (matter) #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Standing wave #Ultracold atom #cond-mat.other #quant-ph

paper · pdf · doi:10.1088/1367-2630/11/6/063027

published as New J. Phys. 11, 063027 (2009) · 10 pages, 7 figures

openalex publication_date 2009/06/16 · arxiv created 2009/06/22 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider a gas of ultracold two-level atoms confined in a cavity, taking account of atomic center-of-mass motion and cavity-mode variations. We use the generalized Dicke model (DM), 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 DM, 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.

Citations

• Cavity Optomechanics with a Bose-Einstein Condensate
• First-Order Superradiant Phase Transitions in a Multiqubit Cavity System
• Quantum fluctuations in the mazer
• Cavity QED with a Bose–Einstein condensate
• Dynamical Quantum Phase Transitions in the Dissipative Lipkin-Meshkov-Glick Model with Proposed Realization in Optical Cavity QED
• Strong atom–field coupling for Bose–Einstein condensates in an optical cavity on a chip
• Exotic quantum phase transitions in a Bose-Einstein condensate coupled to an optical cavity
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of entanglement
• Quantum criticality in a generalized Dicke model
• Cold Atom Dynamics in a Quantum Optical Lattice Potential

Cited by

• Dicke-Model Phase Transition in the Quantum Motion of a Bose-Einstein Condensate in an Optical Cavity

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