Dynamics of trapped bright solitons in the presence of localized inhomogeneities
arXiv:cond-mat/0503227 · doi:10.1016/j.physleta.2005.07.008
Abstract
We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized ``impurity'' in Bose-Einstein condensates (BECs). We study the generation and stability of a pair of steady states in the vicinity of the impurity as the impurity strength is varied. These two new steady states, one stable and one unstable, disappear through a saddle-node bifurcation as the strength of the impurity is decreased. The dynamics of the soliton is also examined in all the cases (including cases where the soliton is offset from one of the relevant fixed points). The numerical results are corroborated by theoretical calculations which are in very good agreement with the numerical findings.
8 pages, 5 composite figures with low res (for high res pics please go to http://www.rohan.sdsu.edu/~rcarrete/ [Publications] [Publication#41]
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- Mobility of solitons in one-dimensional lattices with the cubic-quintic nonlinearity
- Statics and dynamics of atomic dark-bright solitons in the presence of delta-like impurities
- Manipulation of Vortices by Localized Impurities in Bose-Einstein Condensates
- Generating, dragging and releasing dark solitons in elongated Bose-Einstein condensates
- No Stability Switching at Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schroedinger Equations
- Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
- Quantum switches and quantum memories for matter-wave lattice solitons
- Sculpting quasi one-dimensional Bose-Einstein condensate to generate calibrated matter-waves
- Controlled engineering of a vortex-bright soliton dynamics using a constant driving force
- Dark solitons near potential and nonlinearity steps
- Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schroedinger equations
- Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers
- Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation
- Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons