Photonic soliton and its relevance to radiative neutrino pair emission

TL;DR

This paper derives Maxwell-Bloch equations for a three-level atomic system, finds stable soliton solutions, and discusses their potential to enhance radiative neutrino pair emission rates beyond traditional methods.

Contribution

It introduces a new soliton-based approach to boost radiative neutrino pair emission, with stable solutions in a three-level atomic system.

Findings

Stable, topologically protected soliton solutions were identified.

Soliton formation can significantly enhance neutrino pair emission rates.

Potential to improve signal-to-background ratio in neutrino detection.

Abstract

We consider atomic system of $\Lambda-$type 3-level coupled to 2 mode fields, and derive an effective Maxwell-Bloch equation designed for two photon emission between two lower levels. We find axially symmetric, topologically stable soliton solutions made of condensed fields. Immediate implication of soliton formation to radiative neutrino pair emission is to enhance its rate, larger than the usual $\propto N^2$ factor of target number dependence, along with another merit of increasing the signal to the background photon emission.