J Rogel-Salazar et al 2004 J. Opt. B: Quantum Semiclass. Opt. 6 R33 doi:10.1088/1464-4266/6/9/R01
J Rogel-Salazar1, S Choi2, G H C New3 and K Burnett4
Show affiliationsIn 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.
03.70.+k Theory of quantized fields
37.10.Vz Mechanical effects of light on atoms, molecules, and ions
03.75.Be Atom and neutron optics
03.75.Hh Static properties of condensates; thermodynamical, statistical and structural properties
Quantum gases, liquids and solids
Issue 9 (September 2004)
Received 18 November 2003, accepted for publication 12 May 2004
Published 17 June 2004
J Rogel-Salazar et al 2004 J. Opt. B: Quantum Semiclass. Opt. 6 R33
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