Delocalizing transition in one-dimensional condensates in optical lattices due to inhomogeneous interactions

TL;DR

This paper demonstrates that inhomogeneous nonlinear interactions in a one-dimensional Bose-Einstein condensate within an optical lattice can induce a delocalizing transition, contrasting with behavior in systems with uniform nonlinearity.

Contribution

It reveals that inhomogeneous interactions can cause delocalizing transitions in 1D condensates, a phenomenon not observed in systems with homogeneous nonlinearity.

Findings

Delocalizing transition occurs due to inhomogeneous nonlinear interactions.

Transition can be triggered by decreasing the linear potential amplitude.

Changing the mean value of the periodic nonlinearity also induces the transition.

Abstract

It is shown that inhomogeneous nonlinear interactions in a Bose-Einstein condensate loaded in an optical lattice can result in delocalizing transition in one dimension, what sharply contrasts to the known behavior of discrete and periodic systems with homogeneous nonlinearity. The transition can be originated either by decreasing the amplitude of the linear periodic potential or by the change of the mean value of the periodic nonlinearity. The dynamics of the delocalizing transition is studied.