Formation of bright solitons and soliton trains in a fermion-fermion mixture by modulational instability

dc.creatorAdhikari, Sadhan K.
dc.date2007-02-14
dc.date.accessioned2026-07-07T07:49:00Z
dc.date.available2026-07-07T07:49:00Z
dc.descriptionWe employ a time-dependent mean-field-hydrodynamic model to study the generation of bright solitons in a degenerate fermion-fermion mixture in a 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 interactions. Employing a linear stability analysis we demonstrate the formation of stable solitons due to modulational instability of a constant-amplitude solution of the model equations for a sufficiently attractive interspecies interaction. We perform a numerical stability analysis of these solitons and also demonstrate the formation of soliton trains by jumping the effective interspecies interaction from repulsive to attractive. These fermionic solitons can be formed and studied in laboratory with present technology.
dc.description18 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0702337
dc.identifierhttp://arxiv.org/abs/cond-mat/0702337
dc.identifierJ. Phys. A 40 (2007) 2673-2688
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124697
dc.subjectOther Condensed Matter
dc.subjectPattern Formation and Solitons
dc.titleFormation of bright solitons and soliton trains in a fermion-fermion mixture by modulational instability
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