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Phys. Rev. A 69, 043612 (2004) [6 pages]

Landau-Zener problem for trilinear systems

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Artur Ishkhanyan1, Matt Mackie2, Andrew Carmichael3, Phillip L. Gould3, and Juha Javanainen3
1Engineering Center of Armenian National Academy of Sciences, Ashtarak-2, 378410, Armenia
2Helsinki Institute of Physics, PL 64, FIN-00014 Helsingin yliopisto, Finland
3Department of Physics, University of Connecticut, Storrs, Connecticut 06269-3046, USA

Received 10 December 2002; revised 25 August 2003; published 20 April 2004

We consider a nonlinear version of the Landau-Zener problem, focusing on photoassociation of a Bose-Einstein condensate as a specific example. Contrary to the exponential rate dependence obtained for the linear problem, when the resonance is crossed slowly the no-transition probability is directly proportional to the rate at which the resonance is crossed.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.043612
DOI:
10.1103/PhysRevA.69.043612
PACS:
03.75.Kk, 02.30.Mv, 34.50.Rk