Physics – Condensed Matter
Scientific paper
2001-07-05
Phys. Rev. A 65, 063605 (2002)
Physics
Condensed Matter
5 pages, 2 figures
Scientific paper
10.1103/PhysRevA.65.063605
The widely used Gross-Pitaevskii equation treats only coherent aspects of the evolution of a Bose-Einstein condensate. However, inevitably some atoms scatter out of the condensate. We have developed a method, based on the field theory formulation, describing the dynamics of incoherent processes which are due to elastic collisions. We can therefore treat processes of spontaneous emission of atoms into the empty modes, as opposed to stimulated processes, which require non-zero initial occupation. In this article we study two counter-propagating plane waves of atoms, calculating the full dynamics of mode occupation, as well as the statistics of scattered atoms. The more realistic case of Gaussian wavepackets is also analyzed.
Bach Radka
Rzazewski Kazimierz
Trippenbach Marek
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