Open AccessBlack soliton in a quasi‐one‐dimensional trapped fermion‐fermion mixture
Author(s) -
Adhikari S. K.
Publication year - 2006
Publication title -
laser physics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.59
H-Index - 72
eISSN - 1612-202X
pISSN - 1612-2011
DOI - 10.1002/lapl.200610050
Subject(s) - physics , degenerate energy levels , soliton , fermion , excitation , harmonic oscillator , stationary state , nonlinear system , field (mathematics) , harmonic , quantum electrodynamics , quantum mechanics , mathematics , pure mathematics
Employing a time‐dependent mean‐field‐hydrodynamic model we study the generation of black solitons in a degenerate fermion‐fermion mixture in a cigar‐shaped geometry using variational and numerical solutions. The black soliton is found to be the first stationary vibrational excitation of the system and is considered to be a nonlinear continuation of the vibrational excitation of the harmonic oscillator state.We illustrate the stationary nature of the black soliton, by studying different perturbations on it after its formation. (© 2006 by Astro, Ltd. Published exclusively by WILEY‐VCH Verlag GmbH & Co. KGaA)