1997/08/01 by Karl-Peter Marzlin, Jürgen Audretsch, J"urgen Audretsch · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1103/physreva.57.1333
published as Phys.Rev. A57 (1998) 1333 · 5 pages, RevTeX, 3 figures
arxiv created 1997/08/01 · openalex publication_date 1998/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a theoretical method to study a trapped gas of bosonic two-level atoms interacting with a single mode of a microwave cavity. This interaction is described by a trilinear Hamiltonian that is formally completely equivalent to the one describing parametric down-conversion in quantum optics. A system of differential equations describing the evolution, including the long-time behavior, of not only the mean value but also the variance of the number of excited atoms is derived and solved analytically. For different initial states the mean number of excited atoms exhibits periodically reappearing dips, with an accompanying peak in the variance, or fractional collapses and revivals. Closed expressions for the period and the revival time are obtained.