Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions

被引：121

作者：

Eberlein, C ^{[1
]}

Giovanazzi, S

O'Dell, DHJ

机构：

[1] Univ Sussex, Dept Phys & Astron, Brighton BN1 9QH, E Sussex, England

[2] Univ St Andrews, Sch Phys & Astron, St Andrews KY16 9SS, Fife, Scotland

来源：

PHYSICAL REVIEW A | 2005年 / 71卷 / 03期

关键词：

D O I：

10.1103/PhysRevA.71.033618

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We derive an exact solution to the Thomas-Fermi equation for a Bose-Einstein condensate (BEC) which has dipole-dipole interactions as well as the usual s-wave contact interaction, in a harmonic trap. Remarkably, despite the nonlocal anisotropic nature of the dipolar interaction the solution is an inverted parabola, as in the pure s-wave case, but with a different aspect ratio. We explain in detail the mathematical tools necessary to describe dipolar BECs with or without cylindrical symmetry. Various properties such as electrostriction and stability are discussed.

引用

页数：12

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