Dynamics of the Formation of Bright Solitary Waves of Bose-Einstein Condensates in Optical Lattices

Abstract

We present a detailed description of the formation of bright solitary waves in optical lattices. To this end, we have considered a ring lattice geometry with large radius. In this case, the ring shape does not have a relevant effect in the local dynamics of the condensate, while offering a realistic set up to implement experiments with conditions usually not available with linear lattices (in particular, to study collisions). Our numerical results suggest that the condensate radiation is the relevant dissipative process in the relaxation towards a self-trapped solution. We show that the source of dissipation can be attributed to the presence of higher order dispersion terms in the effective mass approach. In addition, we demonstrate that the stability of the solitary solutions is linked with particular values of the width of the wavepacket in the reciprocal space. Our study suggests that these critical widths for stability depend on the geometry of the energy band, but are independent of the condensate parameters (momentum, atom number, etc.). Finally, the non-solitonic nature of the solitary waves is evidenced showing their instability under collisions.

arXiv comment7 pages, 7 figures, to appear in PRA

References in corpus (16)

• Cold bosonic atoms in optical lattices
• Formation and Propagation of Matter Wave Soliton Trains
• Formation of a Matter-Wave Bright Soliton
• Dark Solitons in Bose-Einstein Condensates
• Realization of Bose-Einstein condensates in lower dimensions
• Atom Chips
• A Bose-Einstein condensate in an optical lattice
• Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential
• Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential
• Optical Generation of Vortices in trapped Bose-Einstein Condensates
• Guiding Neutral Atoms with a Wire
• A Waveguide for Bose-Einstein Condensates
• Atom Optics with Microfabricated Optical Elements
• Nonlinear atom optics and bright gap soliton generation in finite optical lattices
• Transition radiation by matter-wave solitons in optical lattices
• Expansion of a Bose-Einstein Condensate in an atomic waveguide

Cited by in corpus (4)

• Dark dynamic acousto-optic ring lattices for ultracold atoms
• Transport of ultracold atoms between concentric traps via spatial adiabatic passage
• Dynamics of Bose-Einstein Condensates in One-Dimensional Optical Lattices in the Presence of Transverse Resonances
• Coherent injecting, extracting, and velocity filtering of neutral atoms in a ring trap via spatial adiabatic passage