A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions

Abstract

We develop a semi-classical field method for the study of the weakly interacting Bose gas at finite temperature, which, contrarily to the usual classical field model, does not suffer from an ultraviolet cut-off dependence. We apply the method to the study of thermal vortices in spatially homogeneous, two-dimensional systems. We present numerical results for the vortex density and the vortex pair distribution function. Insight in the physics of the system is obtained by comparing the numerical results with the predictions of simple analytical models. In particular, we calculate the activation energy required to form a vortex pair at low temperature.

19 pages

References in corpus (40)

• Realization of Bose-Einstein condensates in lower dimensions
• Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Hanbury Brown Twiss effect for ultracold quantum gases
• Extension of Bogoliubov theory to quasi-condensates
• Observation of Phase Fluctuations in Bose-Einstein Condensates
• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
• The transition temperature of the dilute interacting Bose gas
• Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates
• Simulations of Bose fields at finite temperature
• Interference of an array of independent Bose-Einstein condensates
• Bose-Einstein condensates with vortices in rotating traps
• Transition temperature of a dilute homogeneous imperfect Bose gas
• Two-dimensional Bose-Einstein condensate in an optical surface trap
• Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region
• Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases
• Quantum Monte Carlo Calculations for a large number of bosons in a harmonic trap
• Observation of Phase Defects in Quasi-2D Bose-Einstein Condensates
• Evolution of Correlation Properties and Appearance of Broken Symmetry in the Process of Bose-Einstein Condensation
• Measurement of the Spatial Correlation Function of Phase Fluctuating Bose-Einstein Condensates
• Quasi 2D Bose-Einstein condensation in an optical lattice
• Low-dimensional Bose gases
• Transition Temperature of the homogeneous, weakly interacting Bose gas
• Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
• Phase ordering kinetics of the Bose gas
• Quasi-2D Confinement of a BEC in a Combined Optical and Magnetic Potential
• The N boson time dependent problem: an exact approach with stochastic wave functions
• Multi-mode description of an interacting Bose-Einstein condensate
• Two Definitions of Superfluid Density
• Precision Monte Carlo Test of the Hartree-Fock Approximation for a trapped Bose Gas
• Observable Signature of the Berezinskii-Kosterlitz-Thouless Transition in a Planar Lattice of Bose-Einstein Condensates
• Can We Distinguish Between the Grand Canonical and the Canonical Ensemble in a BEC Experiment?
• The saddle-point method for condensed Bose gases
• Condensate statistics in interacting Bose gases: exact results
• Pair correlation function of an inhomogeneous interacting Bose-Einstein condensate
• Transition from Bose-Einstein Condensate to Berezinskii-Kosterlitz-Thouless Phase
• Seeing zeros of random polynomials: quantized vortices in the ideal Bose gas
• Superfluidity of the 1D Bose gas
• Coherence and correlation properties of a one-dimensional attractive Fermi gas

Cited by in corpus (23)

• Quantised Vortices in an Exciton-Polariton Fluid
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Single vortex-antivortex pair in an exciton polariton condensate
• Stochastic classical field model for polariton condensates
• Non-equilibrium Berezinskii-Kosterlitz-Thouless Transition in a Driven Open Quantum System
• Hydrodynamic nucleation of vortices and solitons in a resonantly excited polariton superfluid
• Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
• Instability-induced formation and non-equilibrium dynamics of phase defects in polariton condensates
• Vortex pairing in two-dimensional Bose gases
• Bose-Einstein condensation and Berezinskii-Kosterlitz-Thouless transition in 2D Nonlinear Schrödinger model
• Universal correlations and coherence in quasi-two-dimensional trapped Bose gases
• Ab initio methods for finite temperature two-dimensional Bose gases
• Quench dynamics of an ultracold two-dimensional Bose gas
• Tan's two-body contact across the superfluid transition of a planar Bose gas
• Classical field theory limit of many-body quantum Gibbs states in 2D and 3D
• Finite Temperature Phases of Two Dimensional Spin-Orbit Coupled Bosons
• Transition region properties of a trapped quasi-two-dimensional degenerate Bose gas
• Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition
• Spatial Coherence of a polariton condensate in 1D acoustic lattice
• The study of random vorticity in quantum fluids through interference fluctuations
• Limites de champ moyen bosoniques {à} temp{é}rature positive
• Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism