# Quantum light propagation in a uniformly moving dissipative slab

## TL;DR

This paper develops a quantum theoretical framework for electromagnetic fields interacting with a uniformly moving, dissipative magneto-dielectric slab, analyzing how motion affects quantum properties like squeezing and photon statistics.

## Contribution

It introduces a phenomenological quantization scheme for moving absorptive and dispersive slabs and derives input-output relations considering the slab's motion.

## Key findings

- Quantum features degrade when transmitted through the moving slab
- Motion influences the quadrature squeezing of the transmitted states
- Quantum vacuum states are affected by the slab's movement

## Abstract

Within the framework of a phenomenological quantization scheme, we present the quantization of the electromagnetic field in the presence of a moving absorptive and dispersive magneto-dielectric slab (MDS) with uniform velocity in the direction parallel to its interface. We derive the quantum input-output relations for the case that quantum states propagate perpendicularly to the moving MDS.We thoroughly investigate the impact of the motion of the movingMDS on quantum properties of the incident states. To illustrate this, by modeling the dispersive and dissipative effects of the slab by the Lorentz model in its rest frame, we compute the quadrature squeezing and the Mandel parameter for the transmitted state when the incident states from left and right sides are, respectively, the coherent and the quantum vacuum states. It is shown that how quantum features of the incident state are degraded when it is transmitted through the moving MDS.