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

• Authors: Qianquan Zhu , Wenhua Hai , Shiguang Rong
• Languages of publication: 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.

Keywords

EN

Bose-Einstein condensate; chaotic soliton; Melnikov function; chaos probability; chaotic region

Discipline

• 03.75.Lm: Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations(see also 74.50.+r Tunneling phenomena; Josephson effects in superconductivity)
• 05.45.Ac: Low-dimensional chaos
• 03.75.Kk: Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow
• 05.45.Gg: Control of chaos, applications of chaos

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 4
• Pages: 738-746

Dates

published

1 - 12 - 2009

online

21 - 7 - 2009

Contributors

author

Qianquan Zhu

• 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

Wenhua Hai

• 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

Shiguang Rong

• 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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Identifiers

DOI

10.2478/s11534-008-0159-1