Oscillator Laser Model

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.

Quantum Fluctuations in the Small Fabry–Perot Interferometer

“…Inverse Fourier-transforms of the photon number fluctuation spectrum (26), transmitted (32), and reflected (33) field power fluctuation spectra lead to auto-correlation functions. Equations ( 8) and (26) determine the auto-correlation function δ 2 n(τ) of the FPI cavity photon number fluctuations.…”

“…It is a necessary step for analyzing the bistability in the quantum nonlinear FPI with only a few photons. We will do such analysis in the future with the method developed in [22] and related papers [23][24][25][26]. The method of [22] permits solving nonlinear operator equations and generalizes a cumulant-neglect closure approach of the classical stochastic theory [27,28] to spectral analysis of open quantum nonlinear systems such as lasers and nonlinear optical devices.…”