Shape dependence and anisotropic finite-size scaling of the phase coherence of three-dimensional Bose-Einstein condensed gases
arXiv:1606.00579 · doi:10.1103/PhysRevA.94.053609
Abstract
We investigate the equilibrium phase-coherence properties of Bose-condensed particle systems, focusing on their shape dependence and finite-size scaling (FSS). We consider three-dimensional (3D) homogeneous systems confined to anisotropic L x L x L_a boxes, below the BEC transition temperature . We show that the phase correlations develop peculiar anisotropic FSS for any , in the large- limit keeping the ratio λ= L_a/L^2 fixed. This phenomenon is effectively described by the 3D spin-wave (SW) theory. Its universality is confirmed by quantum Monte Carlo simulations of the 3D Bose-Hubbard model in the BEC phase. The phase-coherence properties of very elongated BEC systems, λ>>1, are characterized by a coherence length ξ_a \sim A_t ρ_s/T where A_t is the transverse area and ρ_s is the superfluid density.
arXiv comment7 pages
References in corpus (25)
- Many-Body Physics with Ultracold Gases
- Cold bosonic atoms in optical lattices
- Critical Phenomena and Renormalization-Group Theory
- Quantum Monte Carlo with Directed Loops
- Bragg spectroscopy of a Bose-Einstein condensate
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Observation of Phase Fluctuations in Bose-Einstein Condensates
- Phase-fluctuating 3D condensates in elongated traps
- The two dimensional XY model at the transition temperature: A high precision Monte Carlo study
- Measurement of the Spatial Correlation Function of Phase Fluctuating Bose-Einstein Condensates
- Accessing the dynamics of large many-particle systems using Stochastic Series Expansion
- Observing the Formation of Long-range Order during Bose-Einstein Condensation
- Multicritical behavior in the fully frustrated XY model and related systems
- Two Definitions of Superfluid Density
- Phase Fluctuations in Bose-Einstein Condensates
- Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
- Aspect-ratio dependence of the spin stiffness of a two-dimensional XY model
- Second Order Correlation Function of a Phase Fluctuating Bose-Einstein Condensate
- Off-equilibrium scaling behaviors driven by time-dependent external fields in three-dimensional O(N) vector models
- Phase coherence in quasicondensate experiments: an ab initio analysis via the stochastic Gross-Pitaevskii equation
- Phase fluctuations in anisotropic Bose condensates: from cigars to rings
- Bose-Einstein condensation and critical behavior of two-component bosonic gases
- Critical parameters from trap-size scaling in trapped particle systems
- Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
- Universal scaling of three-dimensional bosonic gases in a trapping potential