Localized modes in arrays of boson-fermion mixtures

Details Localized modes in arrays of boson-fermion mixtures Localized modes in arrays of boson-fermion mixtures

2006-06-30

arxiv.org/abs/cond-mat/0606815v2

PHYSICAL REVIEW A 74, 043616 (2006)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.74.043616

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 Schr\"{o}dinger 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.

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