Classical dynamics of a two-species Bose-Einstein condensate in the presence of nonlinear maser processes

TL;DR

This paper analyzes the classical dynamics of a two-species Bose-Einstein condensate interacting with a quantized field, highlighting stability, transition behaviors, and symmetry-breaking effects due to nonlinear optical processes.

Contribution

It provides a stability analysis of a generalized Dicke model with nonlinear optical effects in the semi-classical limit, revealing transition dynamics and symmetry-breaking phenomena.

Findings

Identified transitions from Rabi to Josephson dynamics.

Demonstrated symmetry-breaking in coherent oscillations.

Analyzed effects of Kerr and parametric processes on stability.

Abstract

The stability analysis of a generalized Dicke model, in the semi-classical limit, describing the interaction of a two-species Bose-Einstein condensate driven by a quantized field in the presence of Kerr and spontaneous parametric processes is presented. The transitions from Rabi to Josephson dynamics are identified depending on the relative value of the involved parameters. Symmetry-breaking dynamics are shown for both types of coherent oscillations due to the quantized field and nonlinear optical processes.