Landau-Zener Problem for Trilinear Hamiltonians
Atomic Physics
2007-05-23 v2 Chemical Physics
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.
Cite
@article{arxiv.physics/0205018,
title = {Landau-Zener Problem for Trilinear Hamiltonians},
author = {Artur Ishkhanyan and Matt Mackie and Andrew Carmichael and Phillip L. Gould and Juha Javanainen},
journal= {arXiv preprint arXiv:physics/0205018},
year = {2007}
}
Comments
4.5 pages, 1 figure, transferred to PRA; v2 adds discussion, clarification, and explicit numbers for Na and 87Rb