Gap solitons in superfluid boson-fermion mixtures

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.043626· OSTI ID:21020793

Adhikari, Sadhan K; Malomed, Boris A ^[1]

---

1. Instituto de Fisica Teorica, UNESP-Sao Paulo State University, 01.405-900 Sao Paulo, Sao Paulo (Brazil)

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.

• OSTI ID: 21020793
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BCS THEORY
BOSE-EINSTEIN CONDENSATION
BOSONS
DISTURBANCES
EQUATIONS
FERMIONS
MATHEMATICAL SOLUTIONS
MIXTURES
ONE-DIMENSIONAL CALCULATIONS
PERIODICITY
POTENTIALS
SOLITONS
SPECTRA
SUPERFLUIDITY
TRAPPING
VARIATIONAL METHODS