1302.3806 (Claudio Conti)

Localization and shock waves in curved manifolds for the
Gross-Pitaevskii equation    [PDF]

Claudio Conti

We investigate the dynamics of a Bose-Einstein condensate in a progressively bended three dimensional cigar shaped potential. The interplay between geometry and nonlinearity is considered. At high curvature, topological localization occurs and becomes frustrated by the generation of curved dispersive shock-waves when the strength of nonlinearity is increased. The analysis is supported by four-dimensional parallel simulations.

View original: http://arxiv.org/abs/1302.3806