Bulletin of the American Physical Society
2005 APS March Meeting
Monday–Friday, March 21–25, 2005; Los Angeles, CA
Session R1: Poster Session III
Wednesday, March 23, 2005
LACC Room: Exhibit Hall 1:00-4:00pm
Abstract ID: BAPS.2005.MAR.R1.48
Abstract: R1.00048 : Extensions of the Bose-Hubbard Model for BEC in a Double-Well Potential*
Preview Abstract Abstract
(SUNY at Stony Brook)
To connect 1D theoretical results and experiments on Bose condensates trapped in a double-well longitudinal potential in quasi-1D waveguides, there are two possible effects to consider: a) the ``tight-binding'' approximation may not apply, and the wavefunctions in a well may vary with atom number due to atom- atom repulsion; and b) the transverse confinement may not be tight enough to ensure a uniform transverse wavefunction factor. We have developed a series of successively more complete approaches: a) an ``exact'' 1D two-mode model, based on symmetric and anti-symmetric solutions of the Gross-Pitaevskii (GP) equation in 1D, exhibits two-particle tunneling effects; b) a multimode model; c) numerical solutions of the 1D time- dependent GP equation match the two-mode results for small interactions; d) numerical calculations of the TDGP in 3D using split-operator techniques take into account behavior in the transverse direction. Our results with d) are in good agreement with experimental observations by the Oberthaler group in Heidelberg.
*Supported by NSF and ONR.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2005.MAR.R1.48
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