Black soliton in a quasi-one-dimensional trapped fermion-fermion mixture

Abstract

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.Comment: 7 pages, 10 figure

Structure and stability of quasi-two-dimensional boson–fermion mixtures with vortex–antivortex superposed states

“…However, the probability density n F of a DFG calculated in this way should lead to reasonable results [14] and has led to proper probability distribution for a DFG [16,19] as well as results for collapse of a DFG [16,19,32] in agreement with experiment. This method has also been used successfully to predict fermionic bright and dark solitons in a DBFM [24,44]. The virtue of the mean-field-hydrodynamic model for a DFG over a microscopic description is its simplicity and good predictive power.…”

“…Throughout the present work, we use a quantumhydrodynamic model [36] to investigate the structure of the exact 2D spatial density distributions and the stability of the system against collapse. This mean-fieldhydrodynamic model is quite successful in the study of collapse dynamics [16] and dark [44] and bright solitons [24,45] in a DBFM. The theoretical predictions on fermionic collapse in a DBFM agree well with the experimental results [6,9], and those on bright solitons are in agreement with a relevant microscopic investigation [46].…”

Modulation of localized solutions of an inhomogeneous cigar-shaped superfluid fermion gas

“…Specifically, the formation of bright solitons and soliton trains in a fermion-fermion mixture by modulational instability were presented in Refs. [29,30]. In Ref.…”

Bright solitons and soliton trains in a fermion-fermion mixture

“…A proper treatment of a DFG or DFFM should be done using a fully antisymmetrized many-body Slater determinant wave function [8,14] as in the case of scattering involving many electrons [24]. However, in view of the success of a fermionic mean-field-hydrodynamic model in studies of collapse [12], bright [15] and dark solitons [16] in a DBFM, and of mixing-demixing [25] and black solitons [26] in a DFFM, we do not believe that the present study on bright solitons in a DFFM to be so peculiar as to have no general validity.…”