RSS icon
Twitter icon
Facebook icon
Vimeo icon
YouTube icon

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.
Date Publishedaug
Keywords2006, 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.


Subscribe to A Quantum Bit 

Quantum physics began with revolutionary discoveries in the early twentieth century and continues to be central in today’s physics research. Learn about quantum physics, bit by bit. From definitions to the latest research, this is your portal. Subscribe to receive regular emails from the quantum world. Previous Issues...

Sign Up Now

Sign up to receive A Quantum Bit in your email!

 Have an idea for A Quantum Bit? Submit your suggestions to