Phase Space Methods for Degenerate Quantum Gases

Bryan Dalton, John Jeffers, Steve Barnett

Research output: Book/ReportBook


The book begins with a review of Fock states for systems of identical atoms, where large numbers of atoms occupy the various single particle states or modes. First, separate modes are considered, and here the quantum density operator is represented by a phase space distribution function of phase space variables which replace mode annihilation, creation operators, the dynamical equation for the density operator determines a Fokker-Planck equation for the distribution function, and measurable quantities such as quantum correlation functions are given as phase space integrals. Finally, the phase space variables are replaced by time dependent stochastic variables satisfying Langevin stochastic equations obtained from the Fokker-Planck equation, with stochastic averages giving the measurable quantities.
Original languageEnglish
Place of PublicationOxford
Number of pages432
Publication statusPublished - 13 Nov 2014

Publication series

NameInternationa Series of Monographs on Physics


  • cold quantum gases
  • bosonic atoms
  • fermionic atoms


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