Equilibrium and oscillations in a turbulent Bose-Einstein condensate

被引:6
作者
Mendonca, J. T. [1 ]
Gammal, A. [2 ]
Haas, F. [3 ]
机构
[1] Univ Lisbon, Inst Super Tecn, IPFN, P-1049001 Lisbon, Portugal
[2] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo, SP, Brazil
[3] Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, Brazil
基金
巴西圣保罗研究基金会;
关键词
Bose-Einstein condensates; turbulence; twisted phonons;
D O I
10.1088/0953-4075/48/6/065302
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A general approach to equilibrium and oscillations in a turbulent Bose-Einstein condensate, valid in the mean-field approximation, is proposed. Two different wave equations, describing the quasi-static equilibrium and the elementary excitations of the medium are derived. In particular, it is shown that a modified Thomas-Fermi equilibrium can be defined in the presence of an arbitrary spectrum of oscillations. The oscillating modes are also determined using Bogoliubov-de Gennes (BdG) equations, valid in different geometrical configurations, such as infinite, cylindrical and toroidal. The case of a non-homogenous density is considered, which includes the modified equilibrium profiles. A general form of dispersion relation for the elementary excitations is derived. Twisted phonons, carrying a finite amount of angular momentum, are shown to be a particular class of BdG modes. They were previously derived from fluid equations. Nonlinear analysis also shows that envelope dark solitons can exist, and correspond to a rarefaction of twisted phonons.
引用
收藏
页数:7
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