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.
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Adhikari, S. Bright solitons and soliton trains in a fermion-fermion mixture. Eur. Phys. J. D 40, 157–160 (2006). https://doi.org/10.1140/epjd/e2006-00203-3
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DOI: https://doi.org/10.1140/epjd/e2006-00203-3