Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach

TL;DR

This paper models the mean-field dynamics of p-wave Feshbach molecule formation in ultracold Fermi gases, analyzing how initial conditions and sweep parameters influence production efficiency.

Contribution

It introduces a separable potential for p-wave interactions and adapts a BCS-based method to study molecule production during magnetic field sweeps.

Findings

Molecule production efficiency depends strongly on initial state conditions.

The model predicts high sensitivity of conversion efficiency to sweep speed and initial magnetic field.

Results highlight the importance of initial state preparation in p-wave molecule formation.

Abstract

We study the mean-field dynamics of p-wave Feshbach molecule production in an ultra cold gas of Fermi atoms in the same internal state. We derive a separable potential to describe the low-energy scattering properties of such atoms, and use this potential to solve the mean-field dynamics during a magnetic field sweep. Initially, on the negative scattering length side of a Feshbach resonance the gas is described by the BCS theory. We adapt the method by Szyma\'{n}ska et al. [Phys. Rev. Lett. 94, 170402 (2005)] to p-wave interacting Fermi gases and model the conversion dynamics of the gas into a Bose-Einstein condensate of molecules on the other side of the resonance under the influence of a linearly varying magnetic field. We have analyzed the dependence of the molecule production efficiency on the density of the gas, temperature, initial value of the magnetic field, and magnetic field ramp speed. Our results show that in this approximation molecule production by a linear magnetic field sweep is highly dependent on the initial state.