Oscillator laser model
Igor E. Protsenko, Alexander V. Uskov

TL;DR
This paper presents a quantum harmonic oscillator-based model for lasers, analyzing photon and population fluctuations, and predicting collective Rabi splitting in superradiant laser spectra.
Contribution
It introduces a novel quantum oscillator model for lasers, including diffusion coefficients and fluctuation analysis, advancing understanding of superradiant and regular laser behaviors.
Findings
Photon number fluctuations are calculated.
Population fluctuations are analyzed.
Rabi splitting peaks are predicted in superradiant lasers.
Abstract
A laser model is formulated in terms of quantum harmonic oscillators. Emitters in the low lasing states are usual harmonic oscillators, and emitters in the upper states are inverted harmonic oscillators. Diffusion coefficients, consistent with the model and necessary for solving quantum nonlinear laser equations analytically, are found. Photon number fluctuations of the lasing mode and fluctuations of the population of the lasing states are calculated. Collective Rabi splitting peaks are predicted in the intensity fluctuation spectra of the superradiant lasers. Population fluctuation mechanisms in superradiant lasers and lasers without superradiance are discussed and compared with each other.
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