Curvature-Induced Nonclassicality in a Generalized Jaynes-Cummings Model

TL;DR

This paper explores how spatial curvature affects nonclassical properties in a generalized Jaynes-Cummings model, revealing that curvature can control quantum features like entanglement and state distributions.

Contribution

It introduces a curved-space analog of the Jaynes-Cummings model using oscillators on a circle, demonstrating curvature's role in quantum nonclassicality.

Findings

Curvature influences the Mandel parameter, entropy, and Wigner distribution.

Spatial curvature can be used to control nonclassical features.

The model provides insights into quantum systems in curved spacetime.

Abstract

In this paper, we investigate the influence of spatial curvature on the Jaynes-Cummings model. We employ an analog model of general relativity, representing the field inside a cavity using oscillators arranged in a circle instead of a straight line, where increasing curvature corresponds to a smaller circle radius. We investigate the nonclassical features of this quantum system arising from the interaction between a two-level atom and a deformed harmonic oscillator on a circle, which serves as curved-space counterpart to the flat oscillator. We analyze the time evolution of atom-field states and, based on this dynamic, examine how spatial curvature influences the Mandel parameter, entropy, and the behavior of the Wigner distribution function. Our results demonstrate that the spatial curvature plays critical roles in controlling these nonclassical properties.