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.

7 pages, 10 figures

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• One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
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• Miscibility in a degenerate fermionic mixture induced by linear coupling
• Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture
• Analogy electromagnetism-acoustics: Validation and application to local impedance active control for sound absorption
• Bright solitons and soliton trains in a fermion-fermion mixture
• Structure and stability of quasi-two-dimensional boson-fermion mixtures with vortex-antivortex superposed states