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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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| Summary: | 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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| Bibliography: | Bose-Einstein condensate, chaos, Gross-Pitaevskii equation O415.5 O51 11-5639/O4 |
| ISSN: | 1674-1056 2058-3834 |
| DOI: | 10.1088/1674-1056/19/11/113205 |