Landau-Zener Problem for Trilinear Hamiltonians

Details Landau-Zener Problem for Trilinear Hamiltonians Landau-Zener Problem for Trilinear Hamiltonians

2002-05-08

arxiv.org/abs/physics/0205018v2

Phys. Rev. A 69, 043612 (2004)

Physics

Atomic Physics

4.5 pages, 1 figure, transferred to PRA; v2 adds discussion, clarification, and explicit numbers for Na and 87Rb

Scientific paper

10.1103/PhysRevA.69.043612

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, a series expansion technique indicates that, when the resonance is crossed slowly, the probability for failure of adiabaticity is directly proportional to the rate at which the resonance is crossed.

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