Methods of quantum field theory for trapped Bose–Einstein condensates

J. Rogel-Salazar, S. Choi, G. H. C. New, K. Burnett

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    9 Citations (Scopus)


    In this tutorial we present an introduction to some theoretical methods of quantum field theory applied to the description of a trapped Bose–Einstein condensate. First of all, we give a brief account of the main characteristics of the phenomenon of condensation and present the many-body Hamiltonian of the system. We outline some of the most important approaches used in the characterization of a condensed Bose gas, including the mean-field theory and the Hartree–Fock–Bogoliubov method. Finally we illustrate the use of these techniques addressing some important issues in quantum atom optics. We characterize the quantum state of a Bose–Einstein condensate (BEC) at zero temperature. We also describe a process of Beliaev coupling between quasiparticles using a method that includes terms beyond the usual Bogoliubov approach.
    Original languageEnglish
    Pages (from-to)R33-R59
    JournalJournal of Optics B: Quantum and Semiclassical Optics
    Issue number9
    Publication statusPublished - 2004


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