Effected of Feshbach resonance on dynamics of matter waves in optical lattices

Abstract

Mean-filed dynamics of a Bose-Einstein condensate (BEC) loaded in an optical lattice (OL), confined by a parabolic potentials, and subjected to change of a scattering length by means of the Feshbach resonance (FR), is considered. The system is described by the Gross-Pitaevskii (GP) equation with varying nonlinearity, which in a number of cases can be reduced a one-dimensional perturbed nonlinear Schrödinger (NLS) equation. A particular form of the last one depends on relations among BEC parameters. We describe periodic solutions of the NLS equation and their adiabatic dynamics due to varying nonlinearity; carry out numerical study of the dynamics of the NLS equation with periodic and parabolic trap potentials. We pay special attention to processes of generation of trains of bright and dark matter solitons from initially periodic waves.

16 pages, 11 figures (revised version). to be published in Phys. Rev. A (2005)

References in corpus (6)

• Theory of Nonlinear Matter Waves in Optical Lattices
• Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length
• Dispersion management for atomic matter waves
• Feshbach resonance induced shock waves in Bose-Einstein condensates
• Adiabatic Compression of Soliton Matter Waves
• Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management

Cited by in corpus (11)

• Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
• Dynamics of matter-wave solitons in a time-modulated two-dimensional optical lattice
• Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices
• Long lived matter waves Bloch oscillations and dynamical localization by time dependent nonlinearity management
• Partial delocalization of two-component condensates in optical lattices
• Modulational instability of matter waves under strong nonlinearity management
• Application of the Feshbach-resonance management to a tightly confined Bose-Einstein condensate
• Matter sound waves in two-component Bose-Einstein condensates
• Explicit solutions with non-trivial phase of the inhomogeneous coupled two-component NLS system
• Non-linear Schr$\ddot{o}$dinger equation with time-dependent balanced loss-gain and space-time modulated non-linear interaction
• Modulation stabilization of Bloch oscillations of two-component Bose-Einstein condensates in optical lattices