Coherent, adiabatic and dissociation regimes in coupled atomic-molecular Bose-Einstein condensates

TL;DR

This paper analyzes the dynamics of atomic-molecular Bose-Einstein condensates under sudden coupling, identifying three regimes characterized by transient shifts and broadenings of molecular states, and proposes a Gross-Pitaevskii model for these regimes.

Contribution

It introduces a simple Gross-Pitaevskii framework that incorporates transient effects to describe different dynamical regimes in coupled atomic-molecular condensates.

Findings

Identification of three distinct dynamical regimes

Transient shift and broadening of molecular states

Proposed experimental methods to explore regimes

Abstract

We discuss the dynamics of a Bose-Einstein condensate of atoms which is suddenly coupled to a condensate of molecules by an optical or magnetic Feshbach resonance. Three limiting regimes are found and can be understood from the transient dynamics occuring for each pair of atoms. This transient dynamics can be summarised into a time-dependent shift and broadening of the molecular state. A simple Gross-Pitaevskii picture including this shift and broadening is proposed to describe the system in the three regimes. Finally, we suggest how to explore these regimes experimentally.