Bell Soliton in Ultra-cold Atomic Fermi Gas
Abstract
We demonstrate the existence of supersonic bell soliton in the Bardeen-Cooper-Schrieffer-Bose-Einstein condensate (BCS-BEC) crossover regime. Starting from the extended Thomas-Fermi density functional theory of superfluid order parameter, a density transformation is used to map the hydrodynamic mean field equation to a Lienard type equation. As a result, bell solitons are obtained as exact solutions, which is further verified by the numerical solution of the dynamical equation. The stability of the soliton is established and its behaviour in the entire crossover domain is obtained. It is found that, akin to the case of vortices, the bell solitons yield highest contrast in the BEC regime.
Cite
@article{arxiv.1304.3579,
title = {Bell Soliton in Ultra-cold Atomic Fermi Gas},
author = {Ayan Khan and Prasanta K Panigrahi},
journal= {arXiv preprint arXiv:1304.3579},
year = {2013}
}
Comments
Please consider Eq.(2) of the current version as correct one instead of Eq.(2) in the previous version and Journal version