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arXiv · 1011.1878

Matter-wave 2D solitons in crossed linear and nonlinear optical lattices

H. L. F. da Luz·F. Kh. Abdullaev·A. Gammal·M. Salerno·Lauro Tomio
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Abstract

It is demonstrated the existence of multidimensional matter-wave solitons in a crossed optical lattice (OL) with linear OL in the $x-$direction and nonlinear OL (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. In particular, we show that such crossed linear and nonlinear OL allows to stabilize two-dimensional (2D) 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 (VA), with the Vakhitov-Kolokolov (VK) necessary criterion for stability; and numerically, by using the relaxation method and direct numerical time integrations of the Gross-Pitaevskii equation (GPE). Very good agreement of the results corresponding to both treatments is observed.

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H. L. F. da Luz, F. Kh. Abdullaev, A. Gammal, M. Salerno, Lauro Tomio. 2010-11-08. Matter-wave 2D solitons in crossed linear and nonlinear optical lattices. https://doi.org/10.1103/physreva.82.043618

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