Can Laser Resonances Have Irregularities in Oscillations?

TL;DR

This paper investigates whether laser resonances can exhibit irregular oscillations due to nonlinear effects, analyzing the transition from classical to quantum regimes using analytical and numerical methods.

Contribution

It introduces a novel analogy between laser resonances and Van der Pol oscillators to explore irregular oscillatory behaviors in quantum and classical regimes.

Findings

Nonlinearity influences the stability of laser oscillations.

Quantum fluctuations can induce irregular oscillations.

Transition from classical to quantum regimes affects resonance stability.

Abstract

Laser resonances play a crucial role in optical and quantum systems because the photons impact the stability and coherence of laser sources. While laser oscillations are typically stable and periodic, the presence of nonlinear effects can introduce irregular dynamical behaviors. This study explores whether laser resonances can exhibit such irregular oscillations by drawing an analogy to the classical and quantum Van der Pol oscillators. The Van der Pol model, known for its self-sustained oscillatory nature, is a simple dissipative nonlinear system. This work investigates how nonlinearity, damping, and quantum fluctuations influence resonance oscillations by examining the transition from classical to quantum regimes. Analytical and numerical methods are employed to assess the stability of fixed points, the emergence of limit cycles, and the impact of increasing nonlinearity for the classical oscillator.