Impact of atomic initial conditions on nonclassicality of the light in the ladder-type three-level Jaynes-Cummings model

TL;DR

This paper studies how initial atomic states affect the nonclassical properties of light in a three-level Jaynes-Cummings model, using exact solutions and numerical simulations to analyze quantum features like the Mandel Q parameter and Wigner function.

Contribution

It provides a detailed analysis of the influence of atomic initial conditions on nonclassical light properties within the ladder-type three-level Jaynes-Cummings framework, employing exact solutions and numerical validation.

Findings

Initial atomic conditions significantly affect nonclassicality measures.

The study confirms the robustness of nonclassical features through numerical simulations.

Atomic initial states alter photon statistics and quantum state characteristics.

Abstract

We explore the interaction between a three-level atom and a single-mode quantized cavity, known as the three-level ladder-type Jaynes-Cummings model. By employing the exact solution of the Schr\"odinger equation, we investigate how the initial conditions of the atom influence the occupation probabilities of the atomic energy levels, average photon number, and the nonclassicality of light, assessed through the Mandel $\mathcal{Q} (t)$ parameter and the Wigner function. Our findings are rigorously validated through comprehensive numerical simulations, ensuring robust and consistent outcomes.