Article

# Combination of a magnetic Feshbach resonance and an optical bound-to-bound transition

Physical Review A (Impact Factor: 3.04). 03/2009; DOI: 10.1103/PhysRevA.79.062713

Source: arXiv

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**ABSTRACT:**. We consider localized states of both single- and two-component Bose-Einstein condensates (BECs) confined in a potential resulting from the superposition of linear and nonlinear optical lattices and make use of Vakhitov-Kolokolov criterion to investigate the effect of nonlinear lattice on the stability of the soliton solutions in the linear optical lattice (LOL). For the single-component case we show that a weak nonlinear lattice has very little effect on the stability of such solitons while sufficiently strong nonlinear optical lattice (NOL) squeezes them to produce narrow bound states. For two-component condensates we find that when the strength of the NOL (γ 1) is less than that of the LOL (V 0) a relatively weak intra-atomic interaction (IAI) has little effect on the stability of the component solitons. This is true for both attractive and repulsive IAI. A strong attractive IAI, however, squeezes the BEC solitons while a similar repulsive IAI makes the component solitons wider. For γ 1 > V 0, only a strong attractive IAI squeezes the BEC solitons but the squeezing effect is less prominent than that found for γ 1 V 0. We make useful checks on the results of our semianalytical stability analysis by solving the appropriate Gross-Pitaevskii equations numerically.The European Physical Journal D 01/2010; · 1.51 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**It is shown that by a proper design of the nonlinearity it is possible to obtain linear superposition of matter waves in optical lattices. In particular, the possibility to create non-stationary states of Bose-Einstein condensates which are linear superposition of stationary nonlinear matter waves is demonstrated. This is achieved by means of spatial variation of the interatomic interaction which suppresses the nonlinear overlapping terms, which otherwise would destroy the superposition, and at the same time retaining all the nonlinearity necessary for each component state to exist. The superposition state is shown to be long lived and can be split into constituent parts by accelerating the lattice.EPL (Europhysics Letters) 02/2011; 93(3):30003. · 2.26 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The existence of multidimensional matter-wave solitons in a crossed optical lattice (OL) with a linear optical lattice (LOL) in the x direction and a nonlinear optical lattice (NOL) in the y direction, where the NOL can be generated by a periodic spatial modulation of the scattering length using an optically induced Feshbach resonance is demonstrated. In particular, we show that such crossed LOLs and NOLs allow for stabilizing two-dimensional solitons against decay or collapse for both attractive and repulsive interactions. The solutions for the soliton stability are investigated analytically, by using a multi-Gaussian variational approach, with the Vakhitov-Kolokolov necessary criterion for stability; and numerically, by using the relaxation method and direct numerical time integrations of the Gross-Pitaevskii equation. Very good agreement of the results corresponding to both treatments is observed.Physical Review A 01/2010; 82. · 3.04 Impact Factor

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