Approach to a Parity Deformed Jaynes-Cummings Model and the Maximally Entangled States

TL;DR

This paper introduces a parity deformed Jaynes-Cummings model, derives exact solutions, and demonstrates the creation of maximally entangled atom-field states with high fidelity in the weak coupling regime.

Contribution

It presents a novel parity deformed JCM, exact eigen-solutions, and shows how to generate maximally entangled states under specific conditions.

Findings

Eigen-values and eigen-functions obtained exactly

Maximally entangled atom-field states realized

High fidelity achieved in weak coupling with large deformation parameter

Abstract

A parity deformed Jaynes-Cummings model (JCM) is introduced, which describes an interaction of a two-level atom with a $\lambda$-deformed quantized field. In the rotating wave approximation (RWA), all eigen-values and eigen-functions of this model are obtained exactly. Assuming that initially the field is prepared in the Wigner cat state (WCS) and the two-level atom is in the excited state, it has been shown that the atomic Rabi oscillations exhibit a quasi-periodic behavior in the collapse and revival patterns. The influence of the deformation parameter on the time evolution of non-classical features of the radiation field such as the sub-Poissonian statistics and squeezing effect are also analyzed. Interestingly, the main finding here is that we can realize maximally entangled atom-field states. In this note it is shown that the high fidelity is possible in the weak coupling regime, while the deformation parameter becomes large values.