Non-Riemannian acoustic spacetime of vortex hydrodynamics in Bose-Einstein condensates

Details Non-Riemannian acoustic spacetime of vortex hydrodynamics in Bose-Einstein condensates Non-Riemannian acoustic spacetime of vortex hydrodynamics in Bose-Einstein condensates

2005-01-27

arxiv.org/abs/cond-mat/0501657v1

Physics

Condensed Matter

Statistical Mechanics

Latex file

Scientific paper

Applications of non-Riemannian acoustic geometries in Bose-Einstein condensates (BEC) are considered. The first is the Minkowski-Cartan irrotational vortex acoustic geometry of nonlinear Schr\"{o}dinger equations of BEC (Gross-Pitaeviskii (GP) equation). In this model, which is an alternative to the Riemannian acoustic geometry of phonons in BEC, the Cartan acoustic torsion is physically interpreted as the bending of the BEC wave function amplitude. Actually this shows that acoustic torsion is given by the density perturbation of BEC flow as happens in relativistic cosmological fluid spacetimes. The Ricci-Cartan curvature scalar is computed and a torsion singularity is found at the origin of a quantized vortex in BEC. In the second example, a transverse Magnus force is shown to be expressed in terms of acoustic torsion on a teleparallel vortex acoustics geometry.

Affiliated with

Also associated with

No associations

Rating

Non-Riemannian acoustic spacetime of vortex hydrodynamics in Bose-Einstein condensates 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 Non-Riemannian acoustic spacetime of vortex hydrodynamics in Bose-Einstein condensates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Riemannian acoustic spacetime of vortex hydrodynamics in Bose-Einstein condensates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-430949