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Effective Field Theory for Atom-Molecule Systems II: Stationary Solutions and Bogoliubov Excitations in Atom-Molecule Systems

2011/09/14 by Catarina E. Sahlberg, Catarina E Sahlberg, Sahlberg, Catarina E +3 · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Clusters (physics.atm-clus) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum optics and atomic interactions #cond-mat.other #physics.atm-clus

paper · pdf · doi:10.48550/arxiv.1109.2971

17 pages, 8 figures

arxiv created 2011/09/14 · openalex publication_date 2011/09/14 · arxiv updated 2011/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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].

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