Fermionic molecule formation by ramps across Fano-Feshbach resonance

This project is a theoretical investigation of properties of a gas of fermionic diatomic molecule, including the molecule formation from bosonic $^{87}$Rb and fermionic $^{40}$K gases by magnetic field ramps across a Fano-Feshbach resonance. We also studied molecule-atom oscillatory quantum beats created during experiments with time-dependent magnetic field ramps. We have approached the problem from various viewpoints: including quantum mechanical pairing theories, the adiabatic thermodynamic limit estimation, and statistical Monte Carlo simulations. Preliminary results will be shown at the meeting including a comparison with available experimental data [1]. \\[4pt] [1] M. L. Olsen, J. D. Perreault, T. D. Cumby, and D. S. Jin, Phys. Rev. A \textbf{80}, 030701(2009)