Dynamical projection of atoms to Feshbach molecules at strong coupling

TL;DR

This paper develops a theoretical model for the dynamical projection of atoms onto Feshbach molecules during rapid detuning sweeps, predicting a 1/3 power law for molecule production efficiency that aligns with experimental data.

Contribution

It introduces an exact Green's function-based solution for molecule production dynamics at strong coupling, covering s- and p-wave resonances, and explains efficiency scaling laws.

Findings

Predicted a 1/3 power law for molecule production efficiency during fast sweeps.

The model's predictions agree with experimental observations for both condensed and incoherent molecules.

Provided a comprehensive theory for detuning-induced molecule dynamics at strong coupling.

Abstract

The dynamical atom/molecule projection, recently used to probe fermion pairing, is fast compared to collective fermion times, but slow on the Feshbach resonance width scale. Theory of detuning-induced dynamics of molecules coupled to resonantly associating atom pairs, employing a time-dependent many-body Green's function approach, is presented. An exact solution is found, predicting a 1/3 power law for molecule production efficiency at fast sweep. The results for $s$- and p-wave resonances are obtained and compared. The predicted production efficiency agrees with experimental observations for both condensed and incoherent molecules away from saturation.