The Gross-Pitaevskii Soliton: Relating Weakly and Strongly Repulsive Bosonic condensates and the magnetic soliton

Details The Gross-Pitaevskii Soliton: Relating Weakly and Strongly Repulsive Bosonic condensates and the magnetic soliton The Gross-Pitaevskii Soliton: Relating Weakly and Strongly Repulsive Bosonic condensates and the magnetic soliton

2010-04-13

arxiv.org/abs/1004.2290v1

Physics

Condensed Matter

Quantum Gases

Scientific paper

We show that the dark soliton of the Gross-Pitaevskii equation (GPE) that describes the Bose-Einstein condensate (BEC) density of a system of weakly repulsive bosons, also describes that of a system of strongly repulsive hard core bosons at half filling. This connection establishes a relationship between the GPE soliton and the magnetic soliton of an easy-plane ferromagnet, where the BEC density relates to the square of the in-plane magnetization of the system. This mapping between well known solitons in two distinct physical systems provides an intuitive understanding of various characteristics of the solitons.

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