The Gross-Pitaevskii Soliton: Relating Weakly and Strongly Repulsive Bosonic condensates and the magnetic soliton
نویسندگان
چکیده
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 inplane 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.
منابع مشابه
Other incarnations of the Gross–Pitaevskii dark soliton
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 ...
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