Other incarnations of the Gross-Pitaevskii dark soliton

Details Other incarnations of the Gross-Pitaevskii dark soliton Other incarnations of the Gross-Pitaevskii dark soliton

2010-06-22

arxiv.org/abs/1006.4205v1

Physics

Quantum Physics

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. As a consequence of this, the GPE soliton gets related to the magnetic soliton in an easy-plane ferromagnet, where it describes the square of the in-plane magnetization of the system. These relationships are shown to be useful in understanding various characteristics of solitons in these distinct many-body systems.

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