Existence of solitary waves in dipolar quantum gases

Details Existence of solitary waves in dipolar quantum gases Existence of solitary waves in dipolar quantum gases

2009-10-28

arxiv.org/abs/0910.5369v2

Mathematics

Analysis of PDEs

Minor modifications; more explanations added. To appear in Physica D

Scientific paper

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.

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