Chaos in a Bose–Einstein condensate

doi:10.1088/1674-1056/19/11/113205

中国物理B ›› 2010, Vol. 19 ›› Issue (11): 113205-113207.doi: 10.1088/1674-1056/19/11/113205

Chaos in a Bose–Einstein condensate

王志霞¹, 倪政国¹, 从福仲¹, 陈蕾¹, 刘学深²

(1)Aviation University of Air Force, Changchun 130022, China; (2)Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China

收稿日期:2010-02-03 修回日期:2010-06-04 出版日期:2010-11-15 发布日期:2010-11-15
基金资助:
Project supported by the National Natural Science Foundation of China(Grant No. 10871203).

Chaos in a Bose–Einstein condensate

Wang Zhi-Xia(王志霞)^a), Ni Zheng-Guo(倪政国)^a), Cong Fu-Zhong(从福仲)^a), Liu Xue-Shen(刘学深)^b), and Chen Lei(陈蕾)^a)

^a Aviation University of Air Force, Changchun 130022, China; ^b Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China

Received:2010-02-03 Revised:2010-06-04 Online:2010-11-15 Published:2010-11-15
Supported by:
Project supported by the National Natural Science Foundation of China(Grant No. 10871203).

摘要/Abstract

摘要： It is demonstrated that Smale-horseshoe chaos exists in the time evolution of the one-dimensional Bose--Einstein condensate driven by time-periodic harmonic or inverted-harmonic potential. A formally exact solution of the time-dependent Gross-Pitaevskii equation is constructed, which describes the matter shock waves with chaotic or periodic amplitudes and phases.

Abstract: It is demonstrated that Smale-horseshoe chaos exists in the time evolution of the one-dimensional Bose–Einstein condensate driven by time-periodic harmonic or inverted-harmonic potential. A formally exact solution of the time-dependent Gross–Pitaevskii equation is constructed, which describes the matter shock waves with chaotic or periodic amplitudes and phases.

Key words: Bose–Einstein condensate, chaos, Gross–Pitaevskii equation

中图分类号: (Other Bose-Einstein condensation phenomena)

03.75.Nt

05.45.-a (Nonlinear dynamics and chaos)

王志霞, 倪政国, 从福仲, 刘学深, 陈蕾. Chaos in a Bose–Einstein condensate[J]. 中国物理B, 2010, 19(11): 113205-113207.

Wang Zhi-Xia(王志霞), Ni Zheng-Guo(倪政国), Cong Fu-Zhong(从福仲), Liu Xue-Shen(刘学深), and Chen Lei(陈蕾). Chaos in a Bose–Einstein condensate[J]. Chin. Phys. B, 2010, 19(11): 113205-113207.

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Chaos in a Bose–Einstein condensate

Chaos in a Bose–Einstein condensate

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