Transition from Bose-Einstein Condensate to Berezinskii-Kosterlitz-Thouless Phase

Abstract

We obtain a phase diagram for a trapped two-dimensional ultra-cold Bose gas. We find a critical temperature above which the free energy of a state with a pair of vortices of opposite circulation is lower than the one for a vortex-free Bose-Einstein condensed ground state. We identify three distinct phases which are, in order of increasing temperature; a phase coherent Bose-Einstein condensate, a vortex pair plasma with a fluctuating condensate phase, and a thermal Bose gas. The existence of the vortex pair phase could be verified using current experimental setups.

5 pages, 3 figures, major revision, to appear in Philosophical Magazine Letters

References in corpus (5)

• Bose-Einstein condensation in quasi2D trapped gases
• Quasi-2D Confinement of a BEC in a Combined Optical and Magnetic Potential
• Observable Signature of the Berezinskii-Kosterlitz-Thouless Transition in a Planar Lattice of Bose-Einstein Condensates
• Finite temperature theory of the trapped two dimensional Bose gas
• Surface modes and vortex formation in dilute Bose-Einstein condensates at finite temperatures

Cited by in corpus (19)

• Many-Body Physics with Ultracold Gases
• Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
• Weakly Interacting, Dilute Bose Gases in 2D
• Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
• Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas
• Observation of Thermally Activated Vortex Pairs in a Quasi-2D Bose Gas
• Superfluidity of an interacting trapped quasi-2D Bose gas
• Thermodynamics in expanding shell-shaped Bose-Einstein condensates
• A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions
• Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas
• Correlation Effects in Ultracold Two-Dimensional Bose Gases
• Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
• Clustering and phase transitions in a 2D superfluid with immiscible active impurities
• Phase Transitions in Ultra-Cold Two-Dimensional Bose Gases
• Coherence of a non-equilibrium polariton condensate across the interaction-mediated phase transition
• Thermodynamically activated vortex-dipole formation in a two-dimensional Bose-Einstein condensate
• Thermal fluctuations of vortex clusters in quasi-two-dimensional Bose-Einstein condensate
• Berezinskii-Kosterlitz-Thouless transition in a photonic lattice
• Effect of thermal fluctuations on spin degrees of freedom in spinor Bose-Einstein condensates