Landau-Zener problem for trilinear systems

2002/05/31 by Artur Ishkhanyan, А. М. Ishkhanyan, Matt Mackie +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions #Strong Light-Matter Interactions #physics.atom-ph #physics.chem-ph

paper · pdf · doi:10.1103/physreva.69.043612

published as Phys. Rev. A 69, 043612 (2004) · 4.5 pages, 1 figure, transferred to PRA; v2 adds discussion, clarification, and explicit numbers for Na and 87Rb

arxiv created 2002/08/04 · openalex publication_date 2004/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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, when the resonance is crossed slowly the no-transition probability is directly proportional to the rate at which the resonance is crossed.

Citations

• Multimode Dynamics of a Coupled Ultracold Atomic-Molecular System

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