Landau-Zener problem for trilinear systems

Journal Article · Thu Apr 01 00:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.043612· OSTI ID:20641031

Ishkhanyan, Artur ^[1]; Mackie, Matt ^[2]; Carmichael, Andrew; Gould, Phillip L; Javanainen, Juha ^[3]

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1. Engineering Center of Armenian National Academy of Sciences, Ashtarak-2, 378410 (Armenia)
2. Helsinki Institute of Physics, PL 64, FIN-00014 Helsingin yliopisto (Finland)
3. Department of Physics, University of Connecticut, Storrs, Connecticut 06269-3046 (United States)

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.

• OSTI ID: 20641031
• Journal Information: Physical Review. A, Vol. 69, Issue 4; Other Information: DOI: 10.1103/PhysRevA.69.043612; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOM-ATOM COLLISIONS
BOSE-EINSTEIN CONDENSATION
FOCUSING
LANDAU-ZENER FORMULA
NONLINEAR PROBLEMS
PROBABILITY
RESONANCE