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

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

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...

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Veröffentlicht in:arXiv.org 2010-11
Hauptverfasser: H L F da Luz, F Kh Abdullaev, Gammal, A, Salerno, M, Lauro Tomio
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Optical lattices
Physics - Atomic Physics
Physics - Quantum Gases
Physics - Quantum Physics
Relaxation method (mathematics)
Resonance scattering
Solitary waves
Stability analysis
Stability criteria
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F Kh Abdullaev
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Salerno, M
Lauro Tomio
description 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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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). 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subjects Collapse
Optical lattices
Physics - Atomic Physics
Physics - Quantum Gases
Physics - Quantum Physics
Relaxation method (mathematics)
Resonance scattering
Solitary waves
Stability analysis
Stability criteria
title Matter-wave 2D solitons in crossed linear and nonlinear optical lattices
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