Bose-Einstein condensates under a spatially-modulated transverse confinement

Details Bose-Einstein condensates under a spatially-modulated transverse confinement Bose-Einstein condensates under a spatially-modulated transverse confinement

2007-07-03

arxiv.org/abs/0707.0453v1

Phys. Rev. A 76, 013623 (2007)

Physics

Condensed Matter

Other Condensed Matter

10 pages, 10 figures, accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.76.013623

We derive an effective nonpolynomial Schrodinger equation (NPSE) for self-repulsive or attractive BEC in the nearly-1D cigar-shaped trap, with the transverse confining frequency periodically modulated along the axial direction. Besides the usual linear cigar-shaped trap, where the periodic modulation emulates the action of an optical lattice (OL), the model may be also relevant to toroidal traps, where an ordinary OL cannot be created. For either sign of the nonlinearity, extended and localized states are found, in the numerical form (using both the effective NPSE and the full 3D Gross-Pitaevskii equation) and by means of the variational approximation (VA). The latter is applied to construct ground-state solitons and predict the collapse threshold in the case of self-attraction. It is shown that numerical solutions provided by the one-dimensional NPSE are always very close to full 3D solutions, and the VA yields quite reasonable results too. The transition from delocalized states to gap solitons, in the first finite bandgap of the linear spectrum, is examined in detail, for the repulsive and attractive nonlinearities alike.

Affiliated with

Also associated with

No associations

Rating

Bose-Einstein condensates under a spatially-modulated transverse confinement 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 Bose-Einstein condensates under a spatially-modulated transverse confinement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bose-Einstein condensates under a spatially-modulated transverse confinement will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179946