# Nonlinear Dynamics of the Phonon Stimulated Emission in Microwave Solid-State Resonator of the Nonautonomous Phaser Generator

## TL;DR

This paper investigates the nonlinear dynamics of phonon stimulated emission in a microwave solid-state resonator, revealing phenomena like branching, refractority, and chaos, through experiments and simulations of a nonautonomous phonon laser.

## Contribution

It provides new experimental and numerical insights into the complex nonlinear behaviors of microwave phonon lasers, including branching and refractority phenomena.

## Key findings

- Observation of branching and refractority in SE pulses
- Increase in coexisting SE states with higher pumping levels
- Refractority linked to crises of strange attractors

## Abstract

The microwave phonon stimulated emission (SE) has been experimentally and numerically investigated in a nonautonomous microwave acoustic quantum generator, called also microwave phonon laser or phaser (see previous works arXiv:cond-mat/0303188 ; arXiv:cond-mat/0402640 ; arXiv:nlin.CG/0703050) Phenomena of branching and long-time refractority (absence of the reaction on the external pulses) for deterministic chaotic and regular processes of SE were observed in experiments with various levels of electromagnetic pumping. At the pumping level growth, the clearly depined increasing of the number of coexisting SE states has been observed both in real physical experiments and in computer simulations. This confirms the analytical estimations of the branching density in the phase space. The nature of the refractority of SE pulses is closely connected with the pointed branching and reflects the crises of strange attractors, i.e. their collisions with unstable periodic components of the higher branches of SE states in the nonautonomous microwave phonon laser.

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Source: https://tomesphere.com/paper/0704.0123