Quantum Phase Transition in a Modified Jaynes-Cummings Model

TL;DR

This paper introduces a modified Jaynes-Cummings model where the atom interacts with a squeezed photon field, revealing a quantum phase transition that interpolates between the Rabi and Jaynes-Cummings models, highlighting superradiance phenomena.

Contribution

The paper presents a novel modified Jaynes-Cummings model with squeezed photon interactions, demonstrating a quantum phase transition bridging the Rabi and Jaynes-Cummings models.

Findings

Quantum phase transition occurs in the modified model.

Transition interpolates between Rabi and Jaynes-Cummings models.

Superradiance is observed in the phase transition.

Abstract

We introduce a modified Jaynes-Cummings model with single-photon cavity radiation field but with the atomic system instead of exchanging a single photon as in the Jaynes-Cummings model, it exchanges instead a squeezed photon with squeezing parameter r. This allows us to interpolate between the Rabi model, r = infinity, and the Jaynes-Cummings model, r = 0, by varying r. The model exhibits a quantum phase transition. Accordingly, the quantum phase transition realized in the Rabi model, giving rise to superradiance, also occurs in the Jaynes-Cummings model