Bose-Einstein condensates in optical lattices: Band-gap structure and solitons

被引：246
作者：
Louis, PJY [1 ]
Ostrovskaya, EA
Savage, CM
Kivshar, YS
机构：
[1] Australian Natl Univ, Res Sch Phys Sci & Engn, Nonlinear Phys Grp, Canberra, ACT 0200, Australia
[2] Australian Natl Univ, Dept Phys & Theoret Phys, Canberra, ACT 0200, Australia
来源：
PHYSICAL REVIEW A | 2003年 / 67卷 / 01期
关键词：
D O I：
10.1103/PhysRevA.67.013602
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we study the band-gap structure of the matter-wave spectrum in both the linear and nonlinear regimes. We demonstrate the existence of families of spatially localized matter-wave gap solitons, and analyze their stability in different band gaps, for both repulsive and attractive atomic interactions.
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页数：9
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