Classical and quantum dynamics of a model for atomic-molecular Bose--Einstein condensates

TL;DR

This paper analyzes a two-mode atomic-molecular Bose-Einstein condensate model, identifying classical fixed points and bifurcations, and demonstrates that these features also characterize the quantum dynamics, revealing different dynamical regimes.

Contribution

It provides a comprehensive classical and quantum analysis of the model, highlighting the role of bifurcations in separating distinct dynamical behaviors.

Findings

Bifurcations divide the parameter space into four regions.

Classical fixed points determine the qualitative dynamics.

Quantum dynamics mirror the classical bifurcation structure.

Abstract

We study a model for a two-mode atomic-molecular Bose--Einstein condensate. Starting with a classical analysis we determine the phase space fixed points of the system. It is found that bifurcations of the fixed points naturally separate the coupling parameter space into four regions. The different regions give rise to qualitatively different dynamics. We then show that this classification holds true for the quantum dynamics.