Finite temperature Casimir effect in the presence of nonlinear dielectrics

TL;DR

This paper quantifies the finite temperature Casimir effect in nonlinear dielectric media by deriving susceptibilities and calculating the Casimir energy and force using path-integral quantization methods.

Contribution

It introduces a novel approach to compute Casimir forces in nonlinear dielectrics at finite temperature through path-integral techniques.

Findings

Derived susceptibilities of nonlinear media

Calculated Casimir energy at finite temperature

Established relation between susceptibilities and coupling functions

Abstract

Starting from a Lagrangian, electromagnetic field in the presence of a nonlinear dielectric medium is quantized using path-integral techniques and correlation functions of different fields are calculated. The susceptibilities of the nonlinear medium are obtained and their relation to coupling functions are determined. Finally, the Casimir energy and force in the presence of a nonlinear medium at finite temperature is calculated.