Localized modes in arrays of boson-fermion mixtures

Abstract

It is shown that the mean-field description of a boson-fermion mixture with a dominating fermionic component, loaded in a one-dimensional optical lattice, is reduced to the nonlinear Schrödinger equation with a periodic potential and periodic nonlinearity. In such system there exist localized modes having peculiar properties. In particular, for some regions of parameters there exists a lower bound for a number of atoms necessary for creation of a mode, while for other domains small amplitude gap solitons are not available in vicinity of either of the gap edges. We found that the lowest branch of the symmetric solution may either exist only for a restricted range of energies in a gap or does not exist, unlike in pure bosonic condensates. The simplest bifurcations of the modes are shown and stability of the modes is verified numerically.

References in corpus (8)

• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Theory of Nonlinear Matter Waves in Optical Lattices
• Nonlinear excitations in arrays of Bose-Einstein condensates
• Production of a Fermi gas of atoms in an optical lattice
• Structure and stability of trapped atomic boson-fermion mixtures
• Two-component gap solitons in two- and one-dimensional Bose-Einstein condensates
• Localization of Two-Component Bose-Einstein Condensates in Optical Lattices
• Solitons of Bose-Fermi mixtures in a strongly elongated trap

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