Landau-Zener Problem for Trilinear Hamiltonians
Artur Ishkhanyan, Matt Mackie, Andrew Carmichael, Phillip L. Gould, Juha Javanainen
Abstract
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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