Non-Markovian spectral broadening in interacting continuous-wave atom lasers
Albert-Ludwigs-Universität, Fakultät für Physik
Hermann-Herder Straße 3, Freiburg im Breisgau, D-79104
2 Istituto Italiano per gli Studi Filosofici, Palazzo Serra di Cassano Via Monte di Dio 14, 80132 Napoli, Italy
Accepted: 26 January 2001
The non-Markovian dynamics of a continuous-wave atom laser model is studied which includes gravitational effects and interactions inside the Bose-Einstein condensate. With the help of the time-convolutionless projection operator technique both the occupation number of the condensate and the spectrum of the atoms coupled out of the condensate are determined. A correct modeling of memory effects in the atom laser requires a generalization of the projection operator technique which takes into account correlations in the initial state of the combined atom-reservoir system. The non-Markovian evolution is shown to yield substantial deviations from results obtained in the Born-Markov approximation.
PACS: 03.75.Fi – Phase coherent atomic ensembles; quantum condensation phenomena / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps / 02.70.Rr – General statistical methods
© EDP Sciences, 2001