Condensate fraction of molecules for a spin mixture of ultracold fermionic atoms

TL;DR

This paper develops a simple theoretical model to interpret the measured condensate fraction of molecules in ultracold Fermi gases, emphasizing the dependence on initial conditions and the magnetic-field sweep process.

Contribution

It introduces a theoretical framework that explains experimental condensate fractions based on initial conditions and adiabatic magnetic-field sweeps.

Findings

Condensate fraction depends on initial system conditions.

Magnetic-field sweep process influences condensate formation.

The theory aligns with experimental measurements.

Abstract

The condensate fraction of molecules for ultracold Fermi gases is investigated for the magnetic field below the Feshbach resonant magnetic field. Assuming that there is no loss of particles and energy during the adiabatic magnetic-field sweep, a simple theory is used to interpret the measured condensate fraction in the experiments by JILA group (Phys. Rev. Lett. 92, 040403 (2004)) and MIT group (Phys. Rev. Lett. 92, 120403 (2004)). Our theory shows that the condensate fraction of molecules is dependent on the initial condition of the system and especially on the process of the magnetic-field sweep.