Chaos in a Bose-Einstein condensate
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 timedependent Gross-Pitaevskii equation is constructed, which describes the mat...
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Published in | Chinese physics B Vol. 19; no. 11; pp. 290 - 293 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
IOP Publishing
01.11.2010
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Subjects | |
Online Access | Get full text |
ISSN | 1674-1056 2058-3834 |
DOI | 10.1088/1674-1056/19/11/113205 |
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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 timedependent Gross-Pitaevskii equation is constructed, which describes the matter shock waves with chaotic or periodic amplitudes and phases. |
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AbstractList | 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 timedependent Gross-Pitaevskii equation is constructed, which describes the matter shock waves with chaotic or periodic amplitudes and phases. |
Author | 王志霞 倪政国 从福仲 刘学深 陈蕾 |
AuthorAffiliation | Aviation University of Air Force, Changchun 130022, China Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China |
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Cites_doi | 10.1016/0167-2789(85)90011-9 10.1103/PhysRevLett.94.050402 10.1088/0253-6102/50/1/41 10.1103/PhysRevLett.92.220403 10.1103/PhysRevE.61.3641 10.1103/PhysRevA.77.063625 10.1103/PhysRevA.46.2147 10.1088/0953-4075/36/6/302 10.1103/PhysRevLett.94.080404 10.1103/PhysRevE.59.5292 10.1007/s10909-008-9810-x 10.1103/PhysRevLett.77.5315 10.1103/PhysRevLett.80.5524 10.1088/0953-4075/38/21/006 10.1088/1009-1963/16/8/015 10.2478/s11534-008-0063-8 10.1103/PhysRevLett.91.107902 10.1088/1009-1963/16/8/027 10.1103/PhysRevLett.72.2508 10.1126/science.1071021 10.1088/1674-1056/17/9/021 10.1103/RevModPhys.73.307 10.7498/aps.57.7586 10.1103/PhysRevLett.86.2162 10.1103/PhysRevA.79.023603 10.1103/PhysRevA.74.023623 10.1103/RevModPhys.71.463 10.1134/S1063776108110022 10.1103/PhysRevA.63.012104 |
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Notes | Bose-Einstein condensate, chaos, Gross-Pitaevskii equation O415.5 O51 11-5639/O4 |
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References | Abdullaev F K (18) 2003; 36 23 24 25 26 27 Xu J (28) 2007; 16 Wang Z X (7) 2008; 50 Abdullaev F K (22) 2003; 36 Xue J K (16) 2005; 38 30 31 10 11 12 13 14 15 17 19 Wang Z X (6) 2008; 57 Chen Q (29) 2007; 16 1 3 4 5 8 9 Wang Z X (2) 2008; 17 20 21 |
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Snippet | 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... |
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SubjectTerms | 方程构造 时间周期 时间演化 时间相关 玻色爱因斯坦凝聚 精确解 调和势 |
Title | Chaos in a Bose-Einstein condensate |
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