Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability

被引:143
作者
Baizakov, BB [1 ]
Konotop, VV
Salerno, M
机构
[1] Univ Salerno, Dipartimento Fis ER Caianiello, I-84081 Baronissi, SA, Italy
[2] Univ Salerno, Ist Nazl Fis Mat, I-84081 Baronissi, SA, Italy
[3] Univ Lisbon, Dept Fis, P-1649003 Lisbon, Portugal
[4] Univ Lisbon, Ctr Fis Mat Condensada, P-1649003 Lisbon, Portugal
关键词
D O I
10.1088/0953-4075/35/24/312
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We show that the phenomenon of modulational instability in arrays of Bose-Einstein condensates confined to optical lattices gives rise to coherent spatial structures of localized excitations. These excitations represent thin discs in 1D, narrow tubes in 2D, and small hollows in 3D arrays, filled in with condensed atoms of much greater density compared to surrounding array sites. Aspects of the developed pattern depend on the initial distribution function of the condensate over the optical lattice, corresponding to particular points of the Brillouin zone. The long-time behaviour of the spatial structures emerging due to modulational instability is characterized by the periodic recurrence to the initial low-density state in a finite optical lattice. We propose a simple way to retain the localized spatial structures with high atomic concentration, which may be of interest for. applications. A theoretical model, based on the multiplescale expansion, describes the basic features of the phenomenon. Results of numerical simulations confirm the analytical predictions.
引用
收藏
页码:5105 / 5119
页数:15
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