Correlated Gaussian method for dilute bosonic systems

被引:0
作者
Sorensen, HH [1 ]
Fedorov, DV [1 ]
Jensen, AS [1 ]
机构
[1] Univ Aarhus, Dept Phys & Astron, DK-8000 Aarhus, Denmark
来源
Nuclei and Mesoscopic Physics | 2005年 / 777卷
关键词
D O I
暂无
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
The weakly interacting trapped Bose gases have been customarily described using the mean-field approximation in the form of the Gross-Pitaevskii equation. The mean-field approximation, however, has certain limitations, in particular it can not describe correlations between particles. We introduce here an alternative variational approach, based on the correlated Gaussian method, which in its simplest form is as fast and simple as the mean-field approximation, but which allows successive improvements of the trial wave-function by including correlations between particles.
引用
收藏
页码:12 / 20
页数:9
相关论文
共 50 条
[31]   Gaussian Filter for Nonlinear Stochastic Uncertain Systems With Correlated Noises [J].
Zhao, Kai ;
Li, Peng ;
Song, Shen-Min .
IEEE SENSORS JOURNAL, 2018, 18 (23) :9584-9594
[32]   Stochastic systems with cross-correlated Gaussian white noises [J].
Wang Cheng-Yu ;
Gao Yun ;
Song Yu-Min ;
Zhou Peng ;
Yang Hai .
CHINESE PHYSICS B, 2010, 19 (11)
[33]   FRENKEL EXCITONS IN RANDOM-SYSTEMS WITH CORRELATED GAUSSIAN DISORDER [J].
DOMINGUEZADAME, F .
PHYSICAL REVIEW B, 1995, 51 (18) :12801-12804
[34]   Four-Nucleon Scattering with a Correlated Gaussian Basis Method [J].
Aoyama, S. ;
Arai, K. ;
Suzuki, Y. ;
Descouvemont, P. ;
Baye, D. .
FEW-BODY SYSTEMS, 2012, 52 (1-2) :97-123
[35]   Four-Nucleon Scattering with a Correlated Gaussian Basis Method [J].
S. Aoyama ;
K. Arai ;
Y. Suzuki ;
P. Descouvemont ;
D. Baye .
Few-Body Systems, 2012, 52 :97-123
[36]   Generation method of correlated non-gaussian random variables [J].
Shu, Weiqun .
Tongji Daxue Xuebao/Journal of Tongji University, 2007, 35 (06) :834-838
[37]   Extension of the correlated Gaussian hyperspherical method to more particles and dimensions [J].
Daily, K. M. ;
Greene, Chris H. .
PHYSICAL REVIEW A, 2014, 89 (01)
[38]   GAUSSIAN AVERAGE METHOD APPLIED TO PHASE TRANSITIONS IN A DILUTE MAGNETIC ALLOY [J].
THOMPSON, BV ;
LAVIS, DA .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1967, 91 (573P) :645-&
[39]   Capacities of lossy bosonic channel with correlated noise [J].
Lupo, Cosmo ;
Pilyavets, Oleg V. ;
Mancini, Stefano .
NEW JOURNAL OF PHYSICS, 2009, 11
[40]   Bosonic Gaussian channel and Gaussian witness entanglement criterion of continuous variables [J].
Chen, Xiao-yu ;
Miao, Maoke ;
Yin, Rui ;
Yuan, Jiantao .
PHYSICAL REVIEW RESEARCH, 2023, 5 (03)