1996/11/25 by C. W. Gardiner, P. Zoller · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Optical properties and cooling technologies in crystalline materials #Strong Light-Matter Interactions #quant-ph
paper · pdf · doi:10.1103/physreva.55.2902
37 pages, 4 figures
arxiv created 1996/11/25 · openalex publication_date 1997/04/01 · arxiv updated 2009/12/01 · openalex created_date 2017/01/06 · openalex updated_date 2026/07/28
A quantum kinetic master equation (QKME) for bosonic atoms is formulated. It is a quantum stochastic equation for the kinetics of a dilute quantum Bose gas, and describes the behavior and formation of Bose condensation. The key assumption in deriving the QKME is a Markov approximation for the atomic collision terms. In the present paper the basic structure of the theory is developed, and approximations are stated and justified to delineate the region of validity of the theory. Limiting cases of the QKME include the quantum Boltzmann master equation and the Uehling-Uhlenbeck equation, as well as an equation analogous to the Gross-Pitaevskii equation.