Bell solitons in ultra-cold atomic Fermi gas

A Khan, PK Panigrahi - Journal of Physics B: Atomic, Molecular …, 2013 - iopscience.iop.org
Journal of Physics B: Atomic, Molecular and Optical Physics, 2013iopscience.iop.org
We demonstrate the existence of supersonic bell solitons in the Bardeen–Cooper–Schrieffer–
Bose–Einstein condensate 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 …
Abstract
We demonstrate the existence of supersonic bell solitons in the Bardeen–Cooper–Schrieffer–Bose–Einstein condensate 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, bell solitons yield highest contrast in the BEC regime.
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