Propagation of matter-wave solitons in periodic and random nonlinear potentials

Journal Article · Thu Dec 15 00:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.72.0· OSTI ID:20786250

Abdullaev, Fatkhulla Kh ^[1]; Garnier, Josselin ^[2]

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1. Dipartimento di Fisica 'E.R. Caianiello', Universita di Salerno, 84081 Baronissi (Saudi Arabia) (Italy)
2. Laboratoire de Probabilites et Modeles Aleatoires and Laboratoire Jacques-Louis Lions, Universite Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5 (France)

We study the motion of bright matter-wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical results for the soliton motion, the radiation of matter wave, and the radiative soliton decay in such configurations of the Bose-Einstein condensate. The stable regimes of propagation are analyzed. The results are in remarkable agreement with the numerical simulations of the Gross-Pitaevskii equation with periodic or random spatial variations of the mean field interactions.

• OSTI ID: 20786250
• Journal Information: Physical Review. A, Vol. 72, Issue 6; Other Information: DOI: 10.1103/PhysRevA.72.061605; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
COMPUTERIZED SIMULATION
DECAY
MATTER
MEAN-FIELD THEORY
NONLINEAR PROBLEMS
PERIODICITY
POTENTIALS
RANDOMNESS
SCATTERING LENGTHS
SOLITONS
WAVE EQUATIONS
WAVE PROPAGATION