|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.