Loop structure of the lowest Bloch band for a Bose-Einstein condensate

被引：115

作者：

Diakonov, D

Jensen, LM

Pethick, CJ

Smith, H

机构：

[1] NORDITA, DK-2100 Copenhagen O, Denmark

[2] St Petersburg Nucl Phys Inst, St Petersburg 188300, Russia

[3] Univ Copenhagen, HC Orsted Inst, Orsted Lab, DK-2100 Copenhagen O, Denmark

来源：

PHYSICAL REVIEW A | 2002年 / 66卷 / 01期

关键词：

Brillouin scattering - Current density - Electric currents - Kinetic energy - Potential energy;

D O I：

10.1103/PhysRevA.66.013604

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate analytically and numerically Bloch waves for a Bose-Einstein condensate in a sinusoidal external potential. At low densities the dependence of the energy on the quasimomentum is similar to that for a single particle, but at densities greater than a critical one the lowest band becomes triple valued near the boundary of the first Brillouin zone and develops the structure characteristic of the swallowtail catastrophe. We comment on the experimental consequences of this behavior.

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页码：136041 / 136044

页数：4

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