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Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice by Matuszewski, Michal; Malomed, Boris A.; Trippenbach, Marek is a scholarly article available to read on EtoBox.

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We consider effects of inter-species attraction on two-component gap solitons (GSs) in the binary BEC with intra-species repulsion, trapped in the one-dimensional optical lattice (OL). Systematic simulations of the coupled Gross-Pitaevskii equations (GPEs) corroborate an assumption that, because the effective mass of GSs is negative, the inter-species attraction may \emph{split} the two-component soliton. Two critical values, $\kappa_{1} $ and $\kappa_{2}$, of the OL strength ($\kappa $) are identified. Two-species GSs with fully overlapping wave functions are stable in strong lattices ($\kappa >\kappa_{1}$). In an intermediate region, $\kappa_{1}>\kappa >\kappa_{2}$, the soliton splits into a double-humped state with separated components. Finally, in weak lattices ($\kappa <\kappa_{2}$%), the splitting generates a pair of freely moving single-species GSs. We present and explain the dependence of $\kappa_{1}$ and $\kappa_{2}$ on thenumber of atoms (total norm), and on the relative strength of the competing inter-species attraction and intra-species repulsion. The splitting of asymmetric solitons, with unequal norms of the two species, is briefly considered too. It is found and expl

Author

Matuszewski, Michal; Malomed, Boris A.; Trippenbach, Marek

Published

2007

Language

EN