Effects of spatially inhomogeneous atomic interactions on Bose-Einstein condensates in optical lattices

TL;DR

This paper investigates how spatially varying atomic interactions influence Bose-Einstein condensates in optical lattices, revealing control mechanisms for soliton dynamics and conditions for stable gap solitons.

Contribution

It introduces a novel analysis of inhomogeneous interactions affecting soliton behavior and stability in optical lattice systems.

Findings

Solitons can be manipulated by tuning lattice and impurity parameters.

Stable fundamental gap solitons can exist under certain conditions.

Inverted Vakhitov-Kolokolov criterion applies to these gap solitons.

Abstract

An interplay of optical lattices and nonlinear impurities in controlling the dynamics of Bose-Einstein condensate bright solitons is investigated using effective potential approach. The ability of pushing the solitons into or away from the impurity region by changing both lattice and impurity parameters is suggested. A possibility for the existence of stable fundamental gap solitons, which appear to satisfy an inverted Vakhitov-Kolokolov criterion, is examined.