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2009 | 7 | 4 | 738-746
Article title

Relation between chaos probability and zero-point number of the Melnikov function for a Bose-Einstein condensate

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EN
Abstracts
EN
We investigate an attractive Bose-Einstein condensate perturbed by a weak traveling optical superlattice. It is demonstrated that under a stochastic initial set and in a given parameter region solitonic chaos appears with a certain probability that is tightly related to the zero-point number of the Melnikov function; the latter depends on the potential parameters. Effects of the lattice depths and wave vectors on the chaos probability are studied analytically and numerically, and different chaotic regions of the parameter space are found. The results suggest a feasible method for strengthening or weakening chaos by modulating the potential parameters experimentally.
Contributors
author
  • Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, China
author
  • Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, China, whhai2005@yahoo.com.cn
author
  • Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, China
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0159-1
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