Matter-wave two-dimensional solitons in crossed linear and nonlinear optical lattices

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.043618· OSTI ID:21450839

Gammal, A ^[1]; Abdullaev, F Kh ^[2]; Salerno, M ^[3]; Tomio, Lauro ^[4]

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1. Instituto de Fisica, Universidade de Sao Paulo, 05508-090 Sao Paulo, Sao Paulo (Brazil)
2. CFTC, Complexo Interdisciplinar, Universidade Lisboa, Avenida Professor Gama Pinto, 2, P-1649-003 Lisboa (Portugal)
3. Dipartimento di Fisica 'E.R. Caianiello', CNISM and INFN-Gruppo Collegato di Salerno, Universita di Salerno, Via Ponte don Melillo, I-84084 Fisciano (Italy)
4. Instituto de Fisica, Universidade Federal Fluminense, 24210-346 Niteroi, Rio de Janeiro (Brazil)

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.

• OSTI ID: 21450839
• Journal Information: Physical Review. A, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevA.82.043618; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DE BROGLIE WAVELENGTH
MATHEMATICAL SOLUTIONS
MATTER
MODULATION
NONLINEAR PROBLEMS
PERIODICITY
RELAXATION
RESONANCE
SCATTERING LENGTHS
SOLITONS
STABILITY
VARIATIONAL METHODS
WAVE EQUATIONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
LENGTH
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
VARIATIONS
WAVELENGTHS