Open AccessEvolution and controlled manipulation of a Bose-Einstein condensate chirped soliton in external potentials
Author(s) -
Zong Feng-De,
Yang Yang,
Jie-Fang Zhang
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.3670
Subject(s) - physics , soliton , chirp , bose–einstein condensate , nonlinear system , amplitude , lattice (music) , quantum mechanics , harmonic , harmonic potential , classical mechanics , quantum electrodynamics , laser , acoustics
An extended variational method for describing the dynamics of a Bose-Einstein condensate BEC chirped soliton in the presence of periodic and harmonic potentials is developed. It is shown that the BEC chirped soliton dynamics can be deduced via the extended variational method to a set of four coupled nonlinear differential equations. This deduced set of equations agrees remarkably well with full numerical simulations and highlights the dominant physical interactions in the system, namely amplitude, width, chirp, center-position, and center-frequency dynamics. The extended analytic theory provides a useful, accurate, and greatly simplified description of the governing BEC chirped soliton dynamics. It further gives the critical strength ratio of periodic to harmonic potential necessary to support multiple stable lattice sites for the BEC chirped soliton and demonstrates that the BEC chirped soliton can move selectively from one lattice site to another by simply manipulating the potentials. In addition, some interesting results for the experiments and applications of the BEC are also obtained.