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 propose a method of controlling two-atom interaction using both magnetic and laser fields. We analyse the role of quantum interference between magnetic and optical Feshbach resonances in controlling cold collision. In particular, we demonstrate that this method allows us to suppress inelastic and enhance elastic scattering cross sections. Quantum interference is shown to modify significantly the threshold behaviour and resonant interaction of ultracold atoms. Furthermore, we show that it is possible to manipulate not only the spherically symmetric s-wave interaction but also the anisotropic higher partial-wave interactions which are particularly important for high temperature superfluid or superconducting phases of matter. Comment: 7 pages 3 figures, some minor errors are corrected, Accepted in J. Phys. BJournal of Physics B Atomic Molecular and Optical Physics 12/2009; · 2.03 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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