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Theory of Feshbach molecule formation in a dilute gas during a magnetic field ramp

TitleTheory of Feshbach molecule formation in a dilute gas during a magnetic field ramp
Publication TypeJournal Article
Year of Publication2006
AuthorsJ. E. Williams, N. Nygaard, and C. W. Clark
JournalNew J. Phys.
Volume8
Pagination150–150
Date Publishedaug
ISSN1367-2630
Keywords2006, Single Fellow
Abstract

Starting with coupled atom–molecule Boltzmann equations, we develop a simplified model to understand molecule formation observed in recent experiments. Our theory predicts several key features: (i) the effective adiabatic rate constant is proportional to density; (ii) in an adiabatic ramp, the dependence of molecular fraction on magnetic field resembles an error function whose width and centroid are related to the temperature; and (iii) the molecular production efficiency is a universal function of the initial phase space density, the specific form of which we derive for a classical gas. Our predictions show qualitative agreement with the data from Hodby et al (2005 Phys. Rev. Lett. 94 120402) without the use of adjustable parameters.

URLhttp://stacks.iop.org/1367-2630/8/i=8/a=150