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Boundary-Dependent Chaotic Regions for a Bose--Einstein Condensate Interacting with Laser Field |
| ZHU Qian-Quan; HAI Wen-Hua;DENG Hai-Ming |
| Department of Physics, Hunan Normal University, Changsha 410081 |
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| Cite this article: |
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ZHU Qian-Quan, HAI Wen-Hua, DENG Hai-Ming 2007 Chin. Phys. Lett. 24 3077-3080 |
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Abstract Spatial chaos of a Bose--Einstein condensate perturbed by a weak laser
standing wave and a weak laser δ pulse is studied. By using the perturbed chaotic solution we investigate the new type of Melnikov chaotic regions, which depend on an integration constant c0 determined by the boundary conditions. It is shown that when the |c0| values are small, the chaotic region corresponds to small values of laser wave vector k, and the chaotic region for the larger k values is related to the large |c0| values. The result is confirmed
numerically by finding the chaotic and regular orbits on the Poincaré section for the two different parameter regions. Thus, for a fixed c0 the adjustment of k from a small value to large value can transform the chaotic region into the regular one or on the contrary, which suggests a feasible method for eliminating or generating Melnikov chaos.
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| Keywords:
05.45.Gg
03.65.Ge
03.75.Kk
05.45.Ac
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Received: 24 April 2007
Published: 23 October 2007
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| PACS: |
05.45.Gg
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(Control of chaos, applications of chaos)
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03.65.Ge
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(Solutions of wave equations: bound states)
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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05.45.Ac
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(Low-dimensional chaos)
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