1998/01/31 by G. M. Moy, J. J. Hope, C. M. Savage · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Atom (system on chip) #Atom laser #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Dispersion (optics) #Exponential function #Laser #Markov chain #Markov process #Master equation #Mathematical analysis #Mathematics #Photon #Physics #Quantum #Quantum mechanics #Quantum optics #Quantum optics and atomic interactions #Spectroscopy and Laser Applications #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.59.667
10 pages, 3 figures. (2 new figues). Exact solutions have been included in section II. Sections IV and V have been expanded. A new section discussing the effects of gravity has been included
arxiv created 1998/09/21 · openalex publication_date 1999/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the use of the Born and Markov approximations in describing the dynamics of an atom laser. In particular, we investigate the applicability of the quantum optical Born-Markov master equation for describing output coupling. We derive conditions based on the atomic reservoir and atom dispersion relations for when the Born-Markov approximations are valid and discuss parameter regimes where these approximations fail in our atom laser model. Differences between the standard optical laser model and the atom laser are due to a combination of factors, including the parameter regimes in which a typical atom laser would operate, the different reservoir state that is appropriate for atoms, and the different dispersion relations between atoms and photons. We present results based on an exact method in the regimes in which the Born-Markov approximation fails. The exact solutions in some experimentally relevant parameter regimes give a nonexponential loss of atoms from a cavity.