Optical-Wavelength Paramagnetic Phaser (Lecture Notes). Section 3.1. Nonlinear Balance Equations of Motion

TL;DR

This paper presents a simple nonlinear model for an optical wavelength paramagnetic phaser, explaining experimental data and chaotic behaviors in spin-phonon systems at cryogenic temperatures.

Contribution

It introduces a minimal nonlinear model that effectively describes and interprets experimental phenomena in optical-wavelength paramagnetic phasers.

Findings

Model explains experimental data accurately.

Successfully interprets chaotic motions in spin-phonon systems.

Applicable to high-quality acoustic resonators.

Abstract

In this work I present a detailed description of the simplest nonlinear model for an optical wavelength paramagnetic phaser, which is an acoustic analog of the class-B lasers. Despite of its simplicity, this model gives a satisfactory explanation of experimental data for optical-wavelength paramagnetic phasers based on high-quality acoustic Fabry-Perot resonators. In particular, this model was successfully used both for qualitative and quantitative interpretation of deterministic chaotic motions observed in spin-phonon system of a nonautonomous ruby phasers at liquid helium temperatures (see arXiv:0704.0123v1 [nlin.CD]).