Mean-field dynamics of two-mode Bose-Einstein condensates in highly anisotropic potentials: interference, dimensionality and entanglement

Tacla, Alexandre B. and Caves, Carlton M. (2013) Mean-field dynamics of two-mode Bose-Einstein condensates in highly anisotropic potentials: interference, dimensionality and entanglement. New Journal of Physics, 15 023008.1-023008.33. doi:10.1088/1367-2630/15/2/023008


Author Tacla, Alexandre B.
Caves, Carlton M.
Title Mean-field dynamics of two-mode Bose-Einstein condensates in highly anisotropic potentials: interference, dimensionality and entanglement
Journal name New Journal of Physics   Check publisher's open access policy
ISSN 1367-2630
Publication date 2013-02
Year available 2013
Sub-type Article (original research)
DOI 10.1088/1367-2630/15/2/023008
Open Access Status DOI
Volume 15
Start page 023008.1
End page 023008.33
Total pages 33
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Collection year 2014
Language eng
Formatted abstract
We study the mean-field dynamics and the reduced-dimension character of two-mode Bose-Einstein condensates (BECs) in highly anisotropic traps. By means of perturbative techniques, we show that the tightly confined (transverse) degrees of freedom can be decoupled from the dynamical equations at the expense of introducing additional effective three-body, attractive, intra- and inter-mode interactions into the dynamics of the loosely confined (longitudinal) degrees of freedom. These effective interactions are mediated by changes in the transverse wave function. The perturbation theory is valid as long as the nonlinear scattering energy is small compared to the transverse energy scales. This approach leads to reduced-dimension mean-field equations that optimally describe the evolution of a two-mode condensate in general quasi-one-dimensional (1D) and quasi-two-dimensional geometries. We use this model to investigate the relative phase and density dynamics of a two-mode, cigar-shaped 87Rb BEC. We study the relative-phase dynamics in the context of a nonlinear Ramsey interferometry scheme, which has recently been proposed as a novel platform for high-precision interferometry. Numerical integration of the coupled, time-dependent, three-dimensional, two-mode Gross-Pitaevskii equations for various atom numbers shows that this model gives a considerably more refined analytical account of the mean-field evolution than an idealized quasi-1D description.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article number 023008

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
 
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