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

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

2004-06-22

arxiv.org/abs/cond-mat/0406497v1

Phys. Rev. A 70, 053605 (2004)

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 2 figures

Scientific paper

10.1103/PhysRevA.70.053605

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.

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