Collapse and Revival Oscillation in Double Jaynes-Cummings Model

TL;DR

This paper presents an exact solution for the Double Jaynes-Cummings model using dressed state formalism, revealing collapse and revival oscillations and discussing entanglement effects.

Contribution

It introduces a systematic method to solve the D-JCM with initial Bell state superpositions, enabling analysis of collapse and revival phenomena.

Findings

Exact solution for D-JCM using dressed states

Collapse and revival oscillations observed in the model

Entanglement influences the system's dynamics

Abstract

We develop a systematic method of solving two non-interacting Jaynes-Cummings models by using the dressed state formalism in Hilbert space $\mathcal{H}_{AB}^{(2\otimes2)}$. It is shown that such model, called Double Jaynes-Cummings model (D-JCM), can be exactly solved if we take the initial bare state as the linear superposition of two Bell states. The collapse and revival oscillation, which is the standard trait of typical Jaynes-Cummings model, can be recovered if we make measurement at each local sites. Some consequence of the entanglement-induced dressing is discussed.