Dynamics of matter solitons in weakly modulated optical lattices

Abstract

It is shown that matter solitons can be effectively managed by means of smooth variations of parameters of optical lattices in which the condensate is loaded. The phenomenon is based on the effect of lattice modulations on the carrier wave transporting the soliton and that is why is well understood in terms of the effective mass approach, where a particular spatial configuration of the band structure is of primary importance. Linear, parabolic, and spatially localized modulations are considered as the case examples. It is shown that these defects can originate accelerating and oscillating motion of matter solitons as well as simulate soliton interaction with attractive and repulsive defects.

6 pages, 7 figures (text with major revision)

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bright gap solitons of atoms with repulsive interaction
• Transition radiation by matter-wave solitons in optical lattices

Cited by in corpus (9)

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• Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices
• Driving defect modes of Bose-Einstein condensates in optical lattices
• Acceleration and localization of matter in a ring trap
• Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
• Nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates in a triple-well potential
• Quantum switches and quantum memories for matter-wave lattice solitons
• Edge and bulk dissipative solitons in modulated PT-symmetric waveguide arrays
• Dynamics of Bose-Einstein Condensates in One-Dimensional Optical Lattices in the Presence of Transverse Resonances