Towards an experimental realization of affinely transformed linearized QED vacuum via inverse homogenization

TL;DR

This paper proposes a method to experimentally realize an affinely transformed linearized QED vacuum as a homogenized composite material with significant anisotropy, using inverse homogenization techniques.

Contribution

It introduces a novel approach to mimic the transformed QED vacuum using simple isotropic materials through inverse homogenization.

Findings

Successfully specifies a homogenized composite material equivalent to the transformed QED vacuum.

Demonstrates that simple isotropic dielectric and magnetic materials can be used to realize the desired anisotropic medium.

Provides a feasible pathway for experimental realization of complex quantum vacuum properties.

Abstract

Within the framework of quantum electrodynamics (QED), vacuum is a nonlinear medium which can be linearized for a rapidly time-varying electromagnetic field with a small amplitude subjected to a magnetostatic field. The linearized QED vacuum is a uniaxial dielectric-magnetic medium for which the degree of anisotropy is exceedingly small. By implementing an affine transformation of the spatial coordinates, the degree of anisotropy may become sufficiently large as to be readily perceivable. The inverse Bruggeman formalism can be implemented to specify a homogenized composite material (HCM) which is electromagnetically equivalent to the affinely transformed QED vacuum. This HCM can arise from remarkably simple component materials; for example, two isotropic dielectric materials and two isotropic magnetic materials, randomly distributed as oriented spheroidal particles.