Multidimensional solitons in a low-dimensional periodic potential

Journal Article · Mon Nov 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.053613· OSTI ID:20646261

Baizakov, Bakhtiyor B; Salerno, Mario ^[1]; Malomed, Boris A ^[2]

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1. Dipartimento di Fisica 'E.R. Caianiello' and Istituto Nazionale di Fisica della Materia (INFM), Universita di Salerno, I-84081 Baronissi, SA (Italy)
2. Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)

Using the variational approximation and direct simulations in real and imaginary time, we find stable two-dimensional (2D) and 3D solitons in the self-attractive Gross-Pitaevskii equation (GPE) with a potential which is uniform in one direction (z) and periodic in the others (however, the quasi-1D potentials cannot stabilize 3D solitons). The family of solitons includes single- and multiple-peaked ones. The results apply to Bose-Einstein condensates (BEC's) in optical lattices (OL's) and to spatial or spatiotemporal solitons in layered optical media. This is the first prediction of mobile 2D and 3D solitons in BEC's, as they keep mobility along z. Head-on collisions of in-phase solitons lead to their fusion into a collapsing pulse. Slow collisions between two multiple-peaked solitons whose main peaks are separated by an intermediate channel end up with their fusion into one single-peaked soliton in the middle channel, {approx_equal}1/3 of the original number of atoms being shed off. Stable localized states in the self-repulsive GPE with the low-dimensional OL combined with a parabolic trap are found too. Two such pulses in one channel perform recurrent elastic collisions, periodically featuring sharp interference patterns in the strong-overlap state.

• OSTI ID: 20646261
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
ATOMS
BOSE-EINSTEIN CONDENSATION
INTERFERENCE
MOBILITY
NONLINEAR PROBLEMS
PERIODICITY
POTENTIALS
PULSES
SIMULATION
SOLITONS
TRAPS
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
WAVE EQUATIONS