|
|
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 |
|
|
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.
|
Received: 03 February 2010
Revised: 04 June 2010
Accepted manuscript online:
|
PACS:
|
03.75.Nt
|
(Other Bose-Einstein condensation phenomena)
|
|
05.45.-a
|
(Nonlinear dynamics and chaos)
|
|
Fund: Project supported by the National Natural Science Foundation of China(Grant No. 10871203). |
Cite this article:
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 2010 Chin. Phys. B 19 113205
|
[1] |
Parthasarathy S 1992 Phys. Rev. A 46 2147
|
[2] |
Wang Z X, Zhang X H and Shen K 2008 Chin. Phys. B 17 3270
|
[3] |
Wang Z X, Zhang X H and Shen K 2008 J. Low. Temp. Phys. 152 136
|
[4] |
Wang Z X, Zhang X H and Shen K 2008 J. Exp. Theor. Phys. 5 134
|
[5] |
Wang Z X and Shen K 2008 Cen. Eup. J. Phys. 6 402
|
[6] |
Wang Z X, Zhang X H and Shen K 2008 Acta Phys. Sin. 57 7586
|
[7] |
Wang Z X, Zhang X H and Shen K 2008 Commun. Theor. Phys. 50 215
|
[8] |
Venkatesan A, Lakshmanan M, Prasad A and Ramaswamy R 2000 Phys. Rev. E 61 3641
|
[9] |
Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
|
[10] |
Leggett A J 2001 Rev. Mod. Phys. 73 307
|
[11] |
Matsumoto S and Yoshimura M 2000 Phys. Rev. A 63 012104
|
[12] |
Zurek W H and Paz J P 1994 Phys. Rev. Lett. 72 2508
|
[13] |
Haydock R, Nex C M M and Simons B D 1999 Phys. Rev. E 59 5292
|
[14] |
Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizilles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290
|
[15] |
Liang Z X, Zhang Z D and Liu W M 2005 Phys. Rev. Lett. 94 050402
|
[16] |
Xue J K 2005 J. Phys. B 38 3841
|
[17] |
Castin Y and Dum R 1996 Phys. Rev. Lett. 77 5315
|
[18] |
Abdullaev F K and Galimzyanov R 2003 J. Phys. B 36 1099
|
[19] |
Horng T L, Hsueh C H and Gou S C 2008 Phys. Rev. A 77 063625
|
[20] |
Hoefer M A, Ablowitz M J, Coddington I, Cornell E A, Engels P and Schweikhard V 2006 Phys. Rev. A 74 023623
|
[21] |
Simula T P, Engels P, Coddington I, Schweikhard V, Cornell E A and Ballagh R J 2005 Phys. Rev. Lett. 94 080404
|
[22] |
Abdullaev F K and Galimzyanov R 2003 J. Phys. B 36 1099
|
[23] |
Hoefer M A, Ablowitz M J, Coddington I, Cornell E A, Engels P and Schweikhard V 2006 Phys. Rev. A 74 023623
|
[24] |
Perez-Garcia V M, Konotop V V and Brazhnyi V A 2004 Phys. Rev. Lett. 92 220403
|
[25] |
Hai W, Zhu Q and Rong S 2009 Phys. Rev. A 79 023603
|
[26] |
Wolf A S, Wift J B and Swinney H L 1985 Physica D 16 285
|
[27] |
Pachos J K and Knight P L 2003 Phys. Rev. Lett. 91 107902
|
[28] |
Xu J, Hai W H and Li H 2007 Chin. Phys. 16 2244
|
[29] |
Chen Q, Hai K and Hai W H 2007 Chin. Phys. 16 3662
|
[30] |
Furuya K, Nemes M C and Pellegrino G O 1998 Phys. Rev. Lett. 80 5524
|
[31] |
Song P H and Shepelyansky D L 2001 Phys. Rev. Lett. 86 2162
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|