Soliton localization in Bose–Einstein condensates with time-dependent harmonic potential and scattering length
- 9 June 2009
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 42 (26)
- https://doi.org/10.1088/1751-8113/42/26/265206
Abstract
We derive exact solitonic solutions of a class of Gross-Pitaevskii equations with time-dependent harmonic trapping potential and interatomic interaction. We find families of exact single-solitonic, multi-solitonic, and solitary wave solutions. We show that, with the special case of an oscillating trapping potential and interatomic interaction, a soliton can be localized indefinitely at an arbitrary position. The localization is shown to be experimentally possible for sufficiently long time even with only an oscillating trapping potential and a constant interatomic interaction.Keywords
All Related Versions
This publication has 43 references indexed in Scilit:
- Bright Bose-Einstein Gap Solitons of Atoms with Repulsive InteractionPhysical Review Letters, 2004
- Dynamics of a matter-wave bright soliton in an expulsive potentialPhysical Review A, 2002
- Bright Soliton Trains of Trapped Bose-Einstein CondensatesPhysical Review Letters, 2002
- Formation of a Matter-Wave Bright SolitonScience, 2002
- Formation and propagation of matter-wave soliton trainsNature, 2002
- Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein CondensatePhysical Review Letters, 2001
- Motion of Dark Solitons in Trapped Bose-Einstein CondensatesPhysical Review Letters, 2000
- Generating Solitons by Phase Engineering of a Bose-Einstein CondensateScience, 2000
- Dark Solitons in Bose-Einstein CondensatesPhysical Review Letters, 1999
- Bose-Einstein solitons in highly asymmetric trapsPhysical Review A, 1998