Soliton stability and collapse in the discrete nonpolynomial Schrödinger equation with dipole-dipole interactions

Goran Gligorić*, Aleksandra Maluckov, Ljupčo Hadžievski, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The stability and collapse of fundamental unstaggered bright solitons in the discrete Schrödinger equation with the nonpolynomial on-site nonlinearity, which models a nearly one-dimensional Bose-Einstein condensate trapped in a deep optical lattice, are studied in the presence of the long-range dipole-dipole (DD) interactions. The cases of both attractive and repulsive contact and DD interaction are considered. The results are summarized in the form of stability-collapse diagrams in the parametric space of the model, which demonstrate that the attractive DD interactions stabilize the solitons and help to prevent the collapse. Mobility of the discrete solitons is briefly considered too.

Original languageEnglish
Article number053609
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume79
Issue number5
DOIs
StatePublished - 1 May 2009

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