Existence of solitary waves in dipolar quantum gases

TL;DR

This paper proves the existence of solitary waves in dipolar quantum gases modeled by a nonlinear Schrödinger equation, highlighting the role of strong dipolar interactions in forming stable solitons in Bose-Einstein condensates.

Contribution

It provides a rigorous mathematical proof for the existence of solitary waves caused solely by dipolar interactions in quantum gases.

Findings

Existence of standing waves under strong dipolar interactions

Properties of the identified solitary waves

Implication for Bose-Einstein condensates

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.