Statistical properties of the continuum Salerno model

The statistical properties of the Salerno model are investigated. In particular, a comparison between the coherent and partially coherent wave modes is made for the case of a random-phased wave packet. It is found that the random-phased-induced spectral broadening gives rise to the damping of instabilities, but also a broadening of the instability region in quasiparticle momentum space. The results can be of significance for the condensation of magnetic-moment bosons in deep optical lattices.