# Scattering of nonlinear coherent state on sphere by an absorptive and dispersive dielectric slab

## TL;DR

This paper investigates how a nonlinear coherent state on a sphere is affected by passing through an absorptive, dispersive dielectric slab, focusing on nonclassical properties like squeezing, antibunching, and quantum noise at finite temperature.

## Contribution

It introduces a model for the propagation of continuum-mode nonlinear coherent states on a sphere through a lossy, dispersive medium, analyzing the impact on quantum properties.

## Key findings

- Loss and thermal fluctuations diminish nonclassical features near medium resonance.
- Quantum noise effects reduce antibunching after transmission.
- Increasing space curvature does not compensate for medium-induced deterioration.

## Abstract

In this paper, we examine the modification of specific nonclassical properties of the nonlinear coherent state on sphere upon perpendicular propagation through an absorptive and dispersive dielectric slab at finite temperature. For this purpose, by describing the dielectric dispersion of the slab by Lorentz model, the quadrature squeezing and the Mandel parameter are evaluated for the transmitted state. A generalization of single-mode nonlinear coherent state to the continuum-mode is considered. The degree of second-order coherence is instead calculated for a continuum nonlinear coherent state on sphere, and the quantum noise effects produced by transmission through the slab on the antibunching feature are examined. We find that near the medium resonance the detrimental effect of the loss and thermal fluctuations of the slab are not compensate with increasing the physical space curvature of the incident state.