Existence of long-range order for trapped interacting bosons

被引:26
作者
Fischer, UR [1 ]
机构
[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
关键词
D O I
10.1103/PhysRevLett.89.280402
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive an inequality governing "long-range" order for a localized Bose-condensed state, relating the condensate fraction at a given temperature with effective curvature radius of the condensate and total particle number. For the specific example of a one-dimensional, harmonically trapped dilute Bose condensate, it is shown that the inequality gives an explicit upper bound for the Thomas-Fermi condensate size which may be tested in current experiments.
引用
收藏
页数:4
相关论文
共 23 条
  • [1] Bogoliubov N. N., 1991, SELECTED WORKS 2
  • [2] Observation of phase fluctuations in elongated Bose-Einstein condensates
    Dettmer, S
    Hellweg, D
    Ryytty, P
    Arlt, JJ
    Ertmer, W
    Sengstock, K
    Petrov, DS
    Shlyapnikov, GV
    Kreutzmann, H
    Santos, L
    Lewenstein, M
    [J]. PHYSICAL REVIEW LETTERS, 2001, 87 (16) : art. no. - 160406
  • [3] Bosons in cigar-shaped traps: Thomas-Fermi Tonks-Girardean regime, and in between
    Dunjko, V
    Lorent, V
    Olshanii, M
    [J]. PHYSICAL REVIEW LETTERS, 2001, 86 (24) : 5413 - 5416
  • [4] DUNJKO V, 1998, PHYS REV LETT, V81, P938
  • [5] GIRARDEAU MD, 2001, PHYS REV LETT, V87
  • [6] Realization of Bose-Einstein condensates in lower dimensions -: art. no. 130402
    Görlitz, A
    Vogels, JM
    Leanhardt, AE
    Raman, C
    Gustavson, TL
    Abo-Shaeer, JR
    Chikkatur, AP
    Gupta, S
    Inouye, S
    Rosenband, T
    Ketterle, W
    [J]. PHYSICAL REVIEW LETTERS, 2001, 87 (13) : 130402/1 - 130402/4
  • [7] Exploring phase coherence in a 2D lattice of Bose-Einstein condensates -: art. no. 160405
    Greiner, M
    Bloch, I
    Mandel, O
    Hänsch, TW
    Esslinger, T
    [J]. PHYSICAL REVIEW LETTERS, 2001, 87 (16)
  • [8] Bose-Einstein condensation on a microelectronic chip
    Hänsel, W
    Hommelhoff, P
    Hänsch, TW
    Reichel, J
    [J]. NATURE, 2001, 413 (6855) : 498 - 501
  • [9] Quasi 1 and 2d dilute bose gas in magnetic traps:: Existence of off-diagonal order and anomalous quantum fluctuations
    Ho, TL
    Ma, M
    [J]. JOURNAL OF LOW TEMPERATURE PHYSICS, 1999, 115 (1-2) : 61 - 70
  • [10] EXISTENCE OF LONG-RANGE ORDER IN 1 AND 2 DIMENSIONS
    HOHENBERG, PC
    [J]. PHYSICAL REVIEW, 1967, 158 (02): : 383 - +