Matter waves in atomic-molecular condensates with Feshbach resonance management

TL;DR

This paper explores how time-modulated atomic interactions affect matter wave dynamics in atomic-molecular Bose-Einstein condensates, revealing conditions for suppression, enhancement, and chaos, with implications for molecule production.

Contribution

It introduces a combined analysis of rapid and slow modulation effects on matter waves in atomic-molecular condensates, including suppression and resonance phenomena.

Findings

Rapid modulations lead to averaged system behavior and suppression conditions.

Slow modulations cause resonant enhancement of molecular fields.

Chaos can occur in atomic-molecular BEC systems under certain conditions.

Abstract

The dynamics of matter waves in the atomic to molecular condensate transition with a time-modulated atomic scattering length is investigated. Both the cases of rapid and slow modulations are studied. In the case of rapid modulations, the average over oscillations for the system is derived. The corresponding conditions for dynamical suppression of the association of atoms into the molecular field, or of second-harmonic generation in nonlinear optical systems, are obtained. For the case of slow modulations, we find resonant enhancement in the molecular field. We then illustrate chaos in the atomic-molecular BEC system. We suggest a sequential application of the two types of modulations, slow and rapid, when producing molecules.