Bright solitons and soliton trains in a fermion-fermion mixture

Abstract

We use a time-dependent dynamical mean-field-hydrodynamic model to predict and study bright solitons in a degenerate fermion-fermion mixture in a quasi-one-dimensional cigar-shaped geometry using variational and numerical methods. Due to a strong Pauli-blocking repulsion among identical spin-polarized fermions at short distances there cannot be bright solitons for repulsive interspecies fermion-fermion interactions. However, stable bright solitons can be formed for a sufficiently attractive interspecies interaction. We perform a numerical stability analysis of these solitons and also demonstrate the formation of soliton trains. These fermionic solitons can be formed and studied in laboratory with present technology.

5 pages, 7 figures

References in corpus (4)

• Soliton trains in Bose-Fermi mixtures
• Collective excitations in trapped boson-fermion mixtures: from demixing to collapse
• Mixing-demixing in a trapped degenerate fermion-fermion mixture
• Collisional oscillations of trapped boson-fermion mixtures approaching collapse

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• Gap solitons in superfluid boson-fermion mixtures
• Miscibility in a degenerate fermionic mixture induced by linear coupling
• Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice