Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions

Details Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions

2010-12-08

arxiv.org/abs/1012.1839v2

Phys. Rev. E 83, 036604 (2011)

Physics

Quantum Physics

6 pages, 4 figures; version to appear in PRE

Scientific paper

10.1103/PhysRevE.83.036604

We deal with the three-dimensional Gross-Pitaevskii equation, which is used to describe a cloud of dilute bosonic atoms that interact under competing two- and three-body scattering potentials. We study the case where the cloud of atoms is strongly confined in two spatial dimensions, allowing us to build an unidimensional nonlinear equation, controlled by the nonlinearities and the confining potentials that trap the system along the longitudinal coordinate. We focus attention on specific limits, dictated by the cubic and quintic coefficients, and we implement numerical simulations to help us to quantify the validity of the procedure.

Affiliated with

Also associated with

No associations

Rating

Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions 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 Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558975