Vortex pairing in two-dimensional Bose gases
arXiv:0912.1675 · doi:10.1103/PhysRevA.81.023623
Abstract
Recent experiments on ultracold Bose gases in two dimensions have provided evidence for the existence of the Berezinskii-Kosterlitz-Thouless (BKT) phase via analysis of the interference between two independent systems. In this work we study the two-dimensional quantum degenerate Bose gas at finite temperature using the projected Gross-Pitaevskii equation classical field method. While this describes the highly occupied modes of the gas below a momentum cutoff, we have developed a method to incorporate the higher momentum states in our model. We concentrate on finite-sized homogeneous systems in order to simplify the analysis of the vortex pairing. We determine the dependence of the condensate fraction on temperature and compare this to the calculated superfluid fraction. By measuring the first order correlation function we determine the boundary of the Bose-Einstein condensate and BKT phases, and find it is consistent with the superfluid fraction decreasing to zero. We reveal the characteristic unbinding of vortex pairs above the BKT transition via a coarse-graining procedure. Finally, we model the procedure used in experiments to infer system correlations [Hadzibabic et al., Nature 441, 1118 (2006)], and quantify its level of agreement with directly calculated in situ correlation functions.
published version
References in corpus (10)
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Interference of an array of independent Bose-Einstein condensates
- Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
- Vortex proliferation in the Berezinskii-Kosterlitz-Thouless regime on a two-dimensional lattice of Bose-Einstein condensates
- Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas
- Superfluidity of an interacting trapped quasi-2D Bose gas
- A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions
- Two point correlations of a trapped interacting Bose gas at finite temperature
- A supercritical superfluid and vortex unbinding following a quantum quench
- Quantitative test of mean-field description of a trapped two-dimensional Bose gas
Cited by in corpus (46)
- Anisotropic superfluidity in a dipolar Bose gas
- Nonthermal fixed points, vortex statistics, and superfluid turbulence in an ultracold Bose gas
- Non-equilibrium Berezinskii-Kosterlitz-Thouless Transition in a Driven Open Quantum System
- Superfluid Turbulence: Nonthermal Fixed Point in an Ultracold Bose Gas
- Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
- Observation of first and second sound in a BKT superfluid
- Solitons as the early stage of quasicondensate formation during evaporative cooling
- Creation and characterization of vortex clusters in atomic Bose-Einstein condensates
- Quantum Analogs of Classical Wakes in Bose-Einstein Condensates
- Topological superfluid transition in bubble-trapped condensates
- Realization of inverse Kibble-Zurek scenario with trapped Bose gases
- Bose-Einstein condensation and Berezinskii-Kosterlitz-Thouless transition in 2D Nonlinear Schrödinger model
- A Vortex Filament Tracking Method for the Gross-Pitaevskii Model of a Superfluid
- Nonthermal fixed points and solitons in a one-dimensional Bose gas
- Turbulence in the two-dimensional Fourier-truncated Gross-Pitaevskii equation
- Finite temperature analysis of a quasi2D dipolar gas
- Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
- Many-body physics in the classical-field description of a degenerate Bose gas
- Instability and Vortex Rings Dynamics in a Three-Dimensional Superfluid Flow Through a Constriction
- Quench dynamics of an ultracold two-dimensional Bose gas
- Violation of single-length scaling dynamics via spin vortices in an isolated spin-1 Bose gas
- Shell-shaped atomic gases
- Spectral analysis for compressible quantum fluids
- Spectral and dynamical analysis of a single vortex ring in anisotropic harmonically trapped three-dimensional Bose-Einstein condensates
- Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
- Signatures of a universal jump in the superfluid density in two-dimensional Bose gas with finite number of particles
- Sound propagation in a two-dimensional Bose gas across the superfluid transition
- Clustering and phase transitions in a 2D superfluid with immiscible active impurities
- Phase transition dimensionality crossover from two to three dimensions in a trapped ultracold atomic Bose gas
- Hidden long-range order in a spin-orbit coupled two-dimensional Bose gas
- Complex Langevin approach to interacting Bose gases
- Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases
- Numerical simulation of nonequilibrium states in a trapped Bose-Einstein condensate
- Stochastic motion of finite-size immiscible impurities in a dilute quantum fluid at finite temperature
- Berezinskii-Kosterlitz-Thouless transitions in an easy-plane ferromagnetic superfluid
- Vortex pair dynamics in three-dimensional homogeneous dipolar superfluids
- Phase-induced vortex pinning in rotating supersolid dipolar systems
- Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition
- Berezinskii-Kosterlitz-Thouless transitions in a ferromagnetic superfluid: effects of axial magnetization
- Stochastic Gross-Pitaevskii theory for a spin-1 Bose gas: Application to superfluidity in two dimensions
- First and second sound in a dilute Bose gas across the BKT transition
- Modeled vortex dynamics on a Bose-Einstein condensate in a rotating lattice
- Simulating the Berezinskii-Kosterlitz-Thouless Transition with Complex Langevin
- A method for the dynamics of vortices in a Bose-Einstein condensate: analytical equations of the trajectories of phase singularities
- CNN-Based Vortex Detection in Atomic 2D Bose Gases in the Presence of a Phononic Background
- Vortex dynamics in rotating dipolar supersolids across Josephson and self-trapping regimes