Dynamical Behaviours of the Nonlinear Atom-Field Interaction in the Presence of Classical Gravity: f-Deformation Approach

TL;DR

This paper explores how classical gravity influences nonlinear atom-field interactions modeled with f-deformation, revealing effects on quantum properties like squeezing and population dynamics.

Contribution

It introduces an f-deformed su(2) algebraic framework and analyzes gravity's impact on various quantum optical phenomena within the Jaynes-Cummings model.

Findings

Gravity affects atomic population inversion over time

Gravity influences atomic dipole squeezing

Gravity modifies photon counting statistics

Abstract

In this paper, we investigate the effects of a classical gravitational field on the dynamical behaviour of nonlinear atom-field interaction within the framework of the f-deformed Jaynes-Cummings model. For this purpose, we first introduce a set of new atomic operators obeying an f-deformed su(2) algebraic structure to derive an effective Hamiltonian for the system under consideration. Then by solving the Schrodinger equation in the interaction picture and considering certain initial quantum states for the atomic and radiation subsystems, we analyze the influence of gravity on the temporal evolution of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics, and deformed quadrature squeezing of the radiation field.