Quasi-one-dimensional Bose-Einstein condensates in nonlinear lattices

Physics – Condensed Matter – Quantum Gases

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

14 pages, 8 figures. To be published in J. Phys. B: At. Mol. Opt. Phys

Scientific paper

10.1088/0953-4075/45/5/055302

We consider the three-dimensional (3D) mean-field model for the Bose-Einstein condensate (BEC), with a 1D nonlinear lattice (NL), which periodically changes the sign of the nonlinearity along the axial direction, and the harmonic-oscillator trapping potential applied in the transverse plane. The lattice can be created as an optical or magnetic one, by means of available experimental techniques. The objective is to identify stable 3D solitons supported by the setting. Two methods are developed for this purpose: The variational approximation, formulated in the framework of the 3D Gross-Pitaevskii equation, and the 1D nonpolynomial Schr\"{o}dinger equation (NPSE) in the axial direction, which allows one to predict the collapse in the framework of the 1D description. Results are summarized in the form of a stability region for the solitons in the plane of the NL strength and wavenumber. Both methods produce a similar form of the stability region. Unlike their counterparts supported by the NL in the 1D model with the cubic nonlinearity, kicked solitons of the NPSE cannot be set in motion, but the kick may help to stabilize them against the collapse, by causing the solitons to shed excess norm. A dynamical effect specific to the NL is found in the form of freely propagating small-amplitude wave packets emitted by perturbed solitons.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Quasi-one-dimensional Bose-Einstein condensates in nonlinear lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasi-one-dimensional Bose-Einstein condensates in nonlinear lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-one-dimensional Bose-Einstein condensates in nonlinear lattices will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-483017

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.