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.

arXiv comment5 pages, 7 figures

References in corpus (22)

• Formation and Propagation of Matter Wave Soliton Trains
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Fermi-Bose quantum degenerate ^40 K - ^87 Rb mixture with attractive interaction
• Principal problems in Bose-Einstein condensation of dilute gases
• Structure and stability of trapped atomic boson-fermion mixtures
• Measurement of the Zero Crossing in a Feshbach Resonance of Fermionic 6-Li
• Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
• Soliton trains in Bose-Fermi mixtures
• Fermionic bright soliton in a boson-fermion mixture
• Mean-field description of dynamical collapse of a fermionic condensate in a trapped boson-fermion mixture
• Non-Interacting Fermions in a One-Dimensional Harmonic Atom Trap: Exact One-Particle Properties at Zero Temperature
• Collective excitations in trapped boson-fermion mixtures: from demixing to collapse
• Positronium atom scattering by H_2 in a coupled-channel framework
• Modulational instability criteria for two-component Bose-Einstein condensates
• Mixing-demixing in a trapped degenerate fermion-fermion mixture
• Free expansion of fermionic dark solitons in a boson-fermion mixture
• Collisional oscillations of trapped boson-fermion mixtures approaching collapse
• Dissipation-managed soliton in a quasi-one-dimensional Bose-Einstein condensate
• Black soliton in a quasi-one-dimensional trapped fermion-fermion mixture

Cited by in corpus (8)

• Symmetric and asymmetric solitons in linearly coupled Bose-Einstein condensates trapped in optical lattices
• Tightly bound gap solitons in a Fermi gas
• Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
• One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
• Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
• 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