Entanglement dynamics and position-momentum entropic uncertainty relation of a $\Lambda$-type three-level atom interacting with a two-mode cavity field in the presence of nonlinearities

TL;DR

This paper analytically explores how a $b1$-type three-level atom interacting with a two-mode cavity field exhibits entanglement and entropic uncertainty, considering nonlinearities and detuning effects.

Contribution

It provides an exact analytical solution for the system's state and analyzes the impact of nonlinearities and detuning on nonclassical properties.

Findings

Detuning and nonlinearities significantly affect entanglement dynamics.

Position-momentum entropic uncertainty is influenced by Kerr medium and coupling.

Analytical expressions enable detailed study of nonclassical features.

Abstract

In this paper, the interaction between a $\Lambda$-type three-level atom and two-mode cavity field is discussed. The detuning parameters and cross-Kerr nonlinearity are taken into account and it is assumed that atom-field coupling and Kerr medium to be $f$-deformed. Even though the system seems to be complicated, the analytical form of the state vector of the entire system for considered model is exactly obtained. The time evolution of nonclassical properties such as quantum entanglement and position-momentum entropic uncertainty relation (entropy squeezing) of the field are investigated. In each case, the influences of the detuning parameters, generalized Kerr medium and intensity-dependent coupling on the latter nonclassicality signs are analyzed, in detail.