|Title||Theory of Feshbach molecule formation in a dilute gas during a magnetic field ramp|
|Publication Type||Journal Article|
|Year of Publication||2006|
|Authors||J. E. Williams, N. Nygaard, and C. W. Clark|
|Journal||New J. Phys.|
|Keywords||2006, Single Fellow|
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.
Theory of Feshbach molecule formation in a dilute gas during a magnetic field ramp
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