Realistic Model for Random Lasers from Spin-Glass Theory

TL;DR

This paper advances the theoretical understanding of random lasers by developing a more realistic spin-glass model that incorporates a deterministic mode coupling, moving beyond traditional mean-field approaches.

Contribution

It introduces a refined complex spherical 4-spin model with a deterministic selection rule, enhancing the realism of spin-glass descriptions of random lasers.

Findings

Improved theoretical model for random lasers.

Numerical and analytical analysis of the 4-phasor model.

Enhanced understanding of mode coupling in disordered optical systems.

Abstract

This work finds its place in the statistical mechanical approach to light amplification in disordered media, namely Random Lasers (RLs). The problem of going beyond the standard mean-field Replica Symmetry Breaking (RSB) theory employed to find the solution of spin-glass models for RLs is addressed, improving the theory towards a more realistic description of these optical systems. The leading model of the glassy lasing transition is considered: the Mode-Locked (ML) 4 phasor model. This is a complex spherical 4-spin model, with a deterministic selection rule, affecting the coupling of the electromagnetic field modes. The model is investigated with both numerical and analytical techniques.