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

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.

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Cited by in corpus (25)

• Solitons in nonlinear lattices
• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
• Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity
• Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
• Matter-wave solitons with a periodic, piecewise-constant nonlinearity
• Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials
• Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
• Stability and dynamics of matter-wave vortices in the presence of collisional inhomogeneities and dissipative perturbations
• All-optical steering of light via spatial Bloch oscillations in a gas of three-level atoms
• Localization and delocalization of two-dimensional discrete solitons pinned to linear and nonlinear defects
• Quench Dynamics of Finite Bosonic Ensembles in Optical Lattices with Spatially Modulated Interactions
• Collisional-inhomogeneity-induced generation of matter-wave dark solitons
• Effects of spatially inhomogeneous atomic interactions on Bose-Einstein condensates in optical lattices
• Collisionally inhomogeneous Bose-Einstein condensates in double-well potentials
• Partial delocalization of two-component condensates in optical lattices
• Displaced dynamics of binary mixtures in linear and nonlinear optical lattices
• Dark Solitary Waves in a Class of Collisionally Inhomogeneous Bose-Einstein Condensates
• Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose-Einstein condensates
• Averaging of Nonlinearity Management with Dissipation
• Solitary Matter Waves in Combined Linear and Nonlinear Potentials: Detection, Stability, and Dynamics
• Matter-Wave Solitons in the Presence of Collisional Inhomogeneities: Perturbation theory and the impact of derivative terms
• Bifurcation of gap solitons in periodic potentials with a sign-varying nonlinearity coefficient
• Control of the symmetry breaking in double-well potentials by the resonant nonlinearity management
• Self-trapped spatially localized states in combined linear-nonlinear periodic potentials
• Schrödinger-type equations with sign-changing nonlinearities: a survey