Spatiotemporal dynamics of Bose-Einstein condensates in moving optical lattices

被引:22
作者
Li, F. [1 ]
Shu, W. X. [1 ]
Jiang, J. G. [1 ]
Luo, H. L. [1 ]
Ren, Z. [1 ]
机构
[1] Nanjing Univ, Dept Phys, Nanjing 210008, Peoples R China
关键词
D O I
10.1140/epjd/e2006-00247-3
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Spatiotemporal dynamics of Bose-Einstein condensates in moving optical lattices have been studied. For a weak lattice potential, the perturbed correction to the heteroclinic orbit in a repulsive system is constructed. We find the boundedness conditions of the perturbed correction contain the Melnikov chaotic criterion predicting the onset of Smale-horseshoe chaos. The effect of the chemical potential on the spatiotemporal dynamics is numerically investigated. It is revealed that the variance of the chemical potential can lead the systems into chaos. Regulating the intensity of the lattice potential can efficiently suppress the chaos resulting from the variance of the chemical potential. And then the effect of the phenomenological dissipation is considered. Numerical calculation reveals that the chaos in the dissipative system can be suppressed by adjusting the chemical potential and the intensity of the lattice potential.
引用
收藏
页码:355 / 361
页数:7
相关论文
共 51 条
[1]   Macroscopic quantum interference from atomic tunnel arrays [J].
Anderson, BP ;
Kasevich, MA .
SCIENCE, 1998, 282 (5394) :1686-1689
[2]   OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].
ANDERSON, MH ;
ENSHER, JR ;
MATTHEWS, MR ;
WIEMAN, CE ;
CORNELL, EA .
SCIENCE, 1995, 269 (5221) :198-201
[3]   Bloch oscillations of atoms in an optical potential [J].
BenDahan, M ;
Peik, E ;
Reichel, J ;
Castin, Y ;
Salomon, C .
PHYSICAL REVIEW LETTERS, 1996, 76 (24) :4508-4511
[4]   Bose-Einstein condensates in spatially periodic potentials [J].
Berg-Sorensen, K ;
Molmer, K .
PHYSICAL REVIEW A, 1998, 58 (02) :1480-1484
[5]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[6]   Numerical solution of the Gross-Pitaevskii equation using an explicit finite-difference scheme: An application to trapped Bose-Einstein condensates [J].
Cerimele, MM ;
Chiofalo, ML ;
Pistella, F ;
Succi, S ;
Tosi, MP .
PHYSICAL REVIEW E, 2000, 62 (01) :1382-1389
[7]   ROUTES TO SUPPRESSING CHAOS BY WEAK PERIODIC PERTURBATIONS [J].
CHACON, R ;
BEJARANO, JD .
PHYSICAL REVIEW LETTERS, 1993, 71 (19) :3103-3106
[8]   Chaos suppression in the parametrically driven Lorenz system -: art. no. 036206 [J].
Choe, CU ;
Höhne, K ;
Benner, H ;
Kivshar, YS .
PHYSICAL REVIEW E, 2005, 72 (03)
[9]   To detect the looped Bloch bands of Bose-Einstein condensates in optical lattices [J].
Choi, DI ;
Wu, B .
PHYSICS LETTERS A, 2003, 318 (06) :558-563
[10]   Bose-Einstein condensates in an optical lattice [J].
Choi, DI ;
Niu, Q .
PHYSICAL REVIEW LETTERS, 1999, 82 (10) :2022-2025