Document Type
Article
Publication Date
2-7-2005
Publication Title
Journal of Physics B: Atomic, Molecular and Optical Physics
DOI
10.1088/0953-4075/38/4/004
ISSN
1361-6455
Abstract
Solving the Gross–Pitaevskii (GP) equation describing a Bose–Einstein condensate (BEC) immersed in an optical lattice potential can be a numerically demanding task. We present a variational technique for providing fast, accurate solutions of the GP equation for systems where the external potential exhibits rapid variation along one spatial direction. Examples of such systems include a BEC subjected to a one-dimensional optical lattice or a Bragg pulse. This variational method is a hybrid form of the Lagrangian variational method for the GP equation in which a hybrid trial wavefunction assumes a Gaussian form in two coordinates while being totally unspecified in the third coordinate. The resulting equations of motion consist of a quasi-one-dimensional GP equation coupled to ordinary differential equations for the widths of the transverse Gaussians. We use this method to investigate how an optical lattice can be used to move a condensate non-adiabatically.
Recommended Citation
Edwards, Mark, Lisa M. DeBeer, Mads Demenikov, Jacob Galbreath, T. Joseph Mahaney, Bryan Nelsen, Charles W. Clark.
2005.
"A Hybrid Lagrangian Variational Method for Bose–Einstein Condensates in Optical Lattices."
Journal of Physics B: Atomic, Molecular and Optical Physics, 38 (4): 363-376: IOP Publishing.
doi: 10.1088/0953-4075/38/4/004 source: https://iopscience.iop.org/article/10.1088/0953-4075/38/4/004
https://digitalcommons.georgiasouthern.edu/physics-facpubs/209
Comments
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