Gross-Pitaevskii model for nonzero temperature Bose-Einstein condensates

被引:4
作者
Staliunas, Kestutis [1 ]
机构
[1] Univ Politecn Cataluna, Dept Fis & Engn Nucl, ICREA, E-08222 Barcelona, Spain
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 09期
关键词
Bose-Einstein condensate; equilibrium distributions; Gross-Pitaevskii; GAS; SYSTEMS; VORTEX;
D O I
10.1142/S0218127406016380
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Momentum distributions and temporal power spectra of nonzero temperature Bose-Einstein condensates are calculated using a Gross-Pitaevskii model. The distributions are obtained for micro-canonical ensembles (conservative Gross-Pitaevskii equation) and for grand-canonical ensembles (Gross-Pitaevskii equation with fluctuations and dissipation terms). Use is made of equivalence between statistics of the solutions of conservative Gross-Pitaevskii and dissipative complex Gimburg-Landau. equations. In all cases the occupation numbers of modes follow a (N-k) proportional to k(-2) dependence, which corresponds in the long wavelength limit (k -> 0) to Bose-Einstein distributions. The temporal power spectra are of 1/f(alpha) form, where: alpha = 2 - D/2 with D the dimension of space.
引用
收藏
页码:2713 / 2719
页数:7
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