Solitary-wave description of condensate micro-motion in a time-averaged orbiting potential trap

Abstract

We present a detailed theoretical analysis of micro-motion in a time-averaged orbiting potential trap. Our treatment is based on the Gross-Pitaevskii equation, with the full time dependent behaviour of the trap systematically approximated to reduce the trapping potential to its dominant terms. We show that within some well specified approximations, the dynamic trap has solitary-wave solutions, and we identify a moving frame of reference which provides the most natural description of the system. In that frame eigenstates of the time-averaged orbiting potential trap can be found, all of which must be solitary-wave solutions with identical, circular centre of mass motion in the lab frame. The validity regime for our treatment is carefully defined, and is shown to be satisfied by existing experimental systems.

arXiv comment12 pages, 2 figures

References in corpus (6)

• Experimental properties of Bose-Einstein condensates in 1D optical lattices: Bloch oscillations, Landau-Zener tunneling and mean-field effects
• Atomic micromotion and geometric forces in a triaxial magnetic trap
• Motion of a condensate in a shaken and vibrating harmonic trap
• Nonadiabatic effects in the dynamics of atoms confined in a cylindric time-orbiting-potential magnetic trap
• Bragg spectroscopy with an accelerating Bose-Einstein condensate
• Dynamic Stability of The Time-averaged Orbiting Potential Trap: Exact Classical Analysis

Cited by in corpus (5)

• Phase and micromotion of Bose-Einstein condensates in a time-averaged ring trap
• Manipulation of a Bose-Einstein condensate by a time-averaged orbiting potential using phase jumps of the rotating field
• Floquet analysis of time-averaged trapping potentials
• Bragg spectroscopy of an accelerating condensate with solitary-wave behaviour
• Dynamics of atoms in a time-orbiting-potential trap: consequences of the classical description