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Landau-Zener Problem for Trilinear Hamiltonians

Artur Ishkhanyan·Matt Mackie·Andrew Carmichael·Phillip L. Gould·Juha Javanainen
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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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Artur Ishkhanyan, Matt Mackie, Andrew Carmichael, Phillip L. Gould, Juha Javanainen. 2002-08-04. Landau-Zener Problem for Trilinear Hamiltonians. https://doi.org/10.1103/physreva.69.043612

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