Existence of solitary waves in dipolar quantum gases
Analysis of PDEs
2010-10-20 v2 Mathematical Physics
math.MP
Abstract
We study a nonlinear Schroedinger equation arising in the mean-field description of dipolar quantum gases. Under the assumption of sufficiently strong dipolar interactions, the existence of standing waves, and hence solitons, is proved together with some of their properties. This gives a rigorous argument for the possible existence of solitary waves in Bose-Einstein condensates, which originate solely due to the dipolar interaction between the particles.
Keywords
Cite
@article{arxiv.0910.5369,
title = {Existence of solitary waves in dipolar quantum gases},
author = {Paolo Antonelli and Christof Sparber},
journal= {arXiv preprint arXiv:0910.5369},
year = {2010}
}
Comments
Minor modifications; more explanations added. To appear in Physica D