Effective Field Theory for Atom-Molecule Systems II: Stationary Solutions and Bogoliubov Excitations in Atom-Molecule Systems
Abstract
We formulate the basic theoretical methods for Bose-Einstein Condensation of atoms close to a Feshbach resonance, in which the tunable scattering length of the atoms is described using a system of coupled atom and molecule fields. These include the Thomas-Fermi description of the condensate profile, the c-field equations, and the Bogoliubov-de Gennes equations, and the Bogoliubov excitation spectrum for a homogenous condensed system. We apply this formalism to the special case of Bragg scattering from a uniform condensate, and find that for moderate and large scattering lengths, there is a dramatic difference in the shift of the peak of the Bragg spectra, compared to that based on a structureless atom model. The result is compatible with the experimental results of Papp et al. [S. B. Papp et al., Phys. Rev. Lett., 101(13):135301, Sep 2008].
Keywords
Cite
@article{arxiv.1109.2971,
title = {Effective Field Theory for Atom-Molecule Systems II: Stationary Solutions and Bogoliubov Excitations in Atom-Molecule Systems},
author = {Catarina E Sahlberg and C W Gardiner},
journal= {arXiv preprint arXiv:1109.2971},
year = {2011}
}
Comments
17 pages, 8 figures