Quantum Solitons in Non-Linear Optics: Resonant Dielectric Media

TL;DR

This paper quantizes the classical sine-Gordon model describing resonant electromagnetic waves in dielectric media, calculating quantum corrections to classical soliton solutions using established quantum field theory methods.

Contribution

It introduces a quantum framework for solitons in nonlinear optics, extending classical models with quantum corrections based on sine-Gordon quantum field theory.

Findings

Quantum corrections to classical solitons are computed.

The quantized model provides insights into quantum effects in nonlinear optical media.

Abstract

It is known that classical electromagnetic radiation at a frequency in resonance with energy splittings of atoms in a dielectric medium can be described using the classical sine-Gordon equation. In this paper we quantize the electromagnetic field and compute quantum corrections to the classical results by using known results from the sine-Gordon quantum field theory.