Vortex pairing in two-dimensional Bose gases

被引:55
作者
Foster, Christopher J. [1 ]
Blakie, P. Blair [2 ]
Davis, Matthew J. [1 ]
机构
[1] Univ Queensland, Sch Math & Phys, ARC Ctr Excellence Quantum Atom Opt, Brisbane, Qld 4072, Australia
[2] Univ Otago, Dept Phys, Jack Dodd Ctr Quantum Technol, Dunedin, New Zealand
来源
PHYSICAL REVIEW A | 2010年 / 81卷 / 02期
关键词
LONG-RANGE ORDER; DYNAMICS; DENSITY;
D O I
10.1103/PhysRevA.81.023623
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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. Although 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.
引用
收藏
页数:15
相关论文
共 52 条
[1]  
Baym G., 1969, MATH METHODS SOLID S
[2]  
BEREZINSKII VL, 1971, SOV PHYS JETP-USSR, V32, P493
[3]   Two-point correlations of a trapped interacting Bose gas at finite temperature [J].
Bezett, A. ;
Toth, E. ;
Blakie, P. B. .
PHYSICAL REVIEW A, 2008, 77 (02)
[4]   STUDY OF SUPERFLUID TRANSITION IN 2-DIMENSIONAL HE-4 FILMS [J].
BISHOP, DJ ;
REPPY, JD .
PHYSICAL REVIEW LETTERS, 1978, 40 (26) :1727-1730
[5]   Quantitative test of the mean-field description of a trapped two-dimensional Bose gas [J].
Bisset, R. N. ;
Blakie, P. B. .
PHYSICAL REVIEW A, 2009, 80 (04)
[6]   Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas [J].
Bisset, R. N. ;
Davis, M. J. ;
Simula, T. P. ;
Blakie, P. B. .
PHYSICAL REVIEW A, 2009, 79 (03)
[7]   Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques [J].
Blakie, P. B. ;
Bradley, A. S. ;
Davis, M. J. ;
Ballagh, R. J. ;
Gardiner, C. W. .
ADVANCES IN PHYSICS, 2008, 57 (05) :363-455
[8]  
Chaikin PM, 1995, PRINCIPLES CONDENSED
[9]   Observation of a 2D Bose Gas: From Thermal to Quasicondensate to Superfluid [J].
Clade, P. ;
Ryu, C. ;
Ramanathan, A. ;
Helmerson, K. ;
Phillips, W. D. .
PHYSICAL REVIEW LETTERS, 2009, 102 (17)
[10]   Critical temperature of a trapped bose gas: Comparison of theory and experiment [J].
Davis, MJ ;
Blakie, PB .
PHYSICAL REVIEW LETTERS, 2006, 96 (06)