Self-trapped nonlinear matter waves in periodic potentials

被引:106
作者
Alexander, TJ [1 ]
Ostrovskaya, EA
Kivshar, YS
机构
[1] Australian Natl Univ, Res Sch Phys Sci & Engn, Nonlinear Phys Ctr, Canberra, ACT 0200, Australia
[2] Australian Natl Univ, Res Sch Phys Sci & Engn, ARC Ctr Excellence Quantum Atom Opt, Canberra, ACT 0200, Australia
关键词
D O I
10.1103/PhysRevLett.96.040401
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We demonstrate that the recent observation of nonlinear self-trapping of matter waves in one-dimensional optical lattices [Th. Anker , Phys. Rev. Lett. 94, 020403 (2005)] can be associated with a novel type of broad nonlinear state existing in the gaps of the matter-wave band-gap spectrum. We find these self-trapped localized modes in one-, two-, and three-dimensional periodic potentials, and demonstrate that such novel gap states can be generated experimentally in any dimension.
引用
收藏
页数:4
相关论文
共 15 条
[1]   Creation and mobility of discrete solitons in Bose-Einstein condensates [J].
Ahufinger, V ;
Sanpera, A ;
Pedri, P ;
Santos, L ;
Lewenstein, M .
PHYSICAL REVIEW A, 2004, 69 (05) :053604-1
[2]   Nonlinear self-trapping of matter waves in periodic potentials [J].
Anker, T ;
Albiez, M ;
Gati, R ;
Hunsmann, S ;
Eiermann, B ;
Trombettoni, A ;
Oberthaler, MK .
PHYSICAL REVIEW LETTERS, 2005, 94 (02)
[3]   Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential [J].
Bronski, JC ;
Carr, LD ;
Deconinck, B ;
Kutz, JN .
PHYSICAL REVIEW LETTERS, 2001, 86 (08) :1402-1405
[4]   Discrete fronts and quasirectangular solitons [J].
Darmanyan, S ;
Kobyakov, A ;
Lederer, F ;
Vázquez, L .
PHYSICAL REVIEW B, 1999, 59 (09) :5994-5997
[5]   Bright Bose-Einstein gap solitons of atoms with repulsive interaction [J].
Eiermann, B ;
Anker, T ;
Albiez, M ;
Taglieber, M ;
Treutlein, P ;
Marzlin, KP ;
Oberthaler, MK .
PHYSICAL REVIEW LETTERS, 2004, 92 (23) :230401-1
[6]   Dispersion management for atomic matter waves [J].
Eiermann, B ;
Treutlein, P ;
Anker, T ;
Albiez, M ;
Taglieber, M ;
Marzlin, KP ;
Oberthaler, MK .
PHYSICAL REVIEW LETTERS, 2003, 91 (06)
[7]   Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice [J].
Fallani, L ;
Cataliotti, FS ;
Catani, J ;
Fort, C ;
Modugno, M ;
Zawada, M ;
Inguscio, M .
PHYSICAL REVIEW LETTERS, 2003, 91 (24)
[8]  
Kivshar Y.S., 2003, Optical Solitons
[9]   Bose-Einstein condensates in optical lattices: Band-gap structure and solitons [J].
Louis, PJY ;
Ostrovskaya, EA ;
Savage, CM ;
Kivshar, YS .
PHYSICAL REVIEW A, 2003, 67 (01) :9
[10]   Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical lattices [J].
Modugno, M ;
Tozzo, C ;
Dalfovo, F .
PHYSICAL REVIEW A, 2004, 70 (04) :043625-1