Gap solitons in superfluid boson-fermion mixtures

2007/10/26 by Sadhan K. Adhikari, Boris A. Malomed
Chemistry · Physics and Astronomy · #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Cooper pair #Fermi Gamma-ray Space Telescope #Fermion #Lattice (music) #Optical lattice #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications #Superconductivity #Superfluidity #cond-mat.other #nlin.PS

paper · pdf · doi:10.1103/physreva.76.043626

published as Phys. Rev. A 76 (2007) 043626 (pp1-9) · 9 pages, 14 figures

openalex publication_date 2007/10/26 · arxiv created 2007/12/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using coupled equations for the bosonic and fermionic order parameters, we construct families of gap solitons (GSs) in a nearly one-dimensional Bose-Fermi mixture trapped in a periodic optical-lattice (OL) potential, the boson and fermion components being in the states of the Bose-Einstein condensation and Bardeen-Cooper-Schrieffer superfluid, respectively. Fundamental GSs are compact states trapped, essentially, in a single cell of the lattice. Full families of such solutions are constructed in the first two band gaps of the OL-induced spectrum, by means of variational and numerical methods, which are found to be in good agreement. The families include both intragap and intergap solitons, with the chemical potentials of the boson and fermion components falling in the same or different band gaps, respectively. Nonfundamental states, extended over several lattice cells, are constructed too. The GSs are stable against strong perturbations.

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