A Self-Consistent Quantum Field Theory for Random Lasing

TL;DR

This paper develops a quantum field theoretical framework to describe random lasing in disordered media, providing self-consistent transport characteristics and insights into mode formation and phase transition behavior.

Contribution

It introduces a novel quantum field theory approach for random lasing that is parameter-free and predicts key transport properties and mode scaling in disordered systems.

Findings

Derived a self-consistent quantum field theory for random lasing.

Identified the relation between stimulated emission and multiple scattering.

Found a power law for mode diameters with increasing pump intensity.

Abstract

The spatial formation of coherent random laser modes in strongly scattering disordered random media is a central feature in the understanding of the physics of random lasers. We derive a quantum field theoretical method for random lasing in disordered samples of complex amplifying Mie resonators which is able to provide self-consistently and free of any fit parameter the full set of transport characteristics at and above the laser phase transition. The coherence length and the correlation volume respectively is derived as an experimentally measurable scale of the phase transition at the laser threshold. We find that the process of stimulated emission in extended disordered arrangements of active Mie resonators is ultimately connected to time-reversal symmetric multiple scattering in the sense of photonic transport while the diffusion coefficient is finite. A power law is found for the random laser mode diameters in stationary state with increasing pump intensity.