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Bose-Einstein condensates in optical lattices: mathematical analysis and analytical approximate formulae
Bose-Einstein condensates stability of ground states analytical approximate formulae repulsive or attractive interatomic interactions
2011/9/6
Abstract: We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, ...
Spontaneous symmetry breaking in linearly coupled disk-shaped Bose-Einstein condensates
linearly coupled disk-shaped Bose-Einstein condensates Spontaneous symmetry breaking
2011/7/7
We study effects of tunnel coupling on a pair of parallel disk-shaped Bose-Einstein condensates with the self-attractive intrinsic nonlinearity. Each condensate is trapped in a combination of in-plane...
Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices
Nonlinear localized modes dipolar Bose-Einstein condensates condensates optical lattices
2011/7/7
The modulational instability and discrete matter wave solitons in dipolar BEC, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instabilit...
On reductions of soliton solutions of multi-component NLS models and spinor Bose-Einstein condensates
multicomponent nonlinear Schrodinger equations symmetric BD.I-type symmetric spaces
2010/4/1
We consider a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces. As important particular case of these MNLS we obtain the Kulish-Sklyan...
