Perturbation approach in Heisenberg equations for lasers

Igor E. Protsenko and Alexander V. Uskov
Phys. Rev. A 105, 053713 – Published 19 May 2022

Abstract

Nonlinear Heisenberg-Langevin equations are solved analytically by operator Fourier expansion for the laser in the light-emitting diode (LED) regime. Fluctuations of populations of lasing levels are taken into account as perturbations. The spectra of operator products are calculated as convolutions, preserving Bose commutations for the lasing field operators. It is found that fluctuations of population significantly affect spontaneous and stimulated emissions into the lasing mode, increase the radiation rate, the number of lasing photons, and broaden the spectrum of a bad cavity threshold-less and the superradiant lasers. The method can be applied to various resonant systems in quantum optics.

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  • Received 8 January 2022
  • Revised 6 March 2022
  • Accepted 3 May 2022

DOI:https://doi.org/10.1103/PhysRevA.105.053713

©2022 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Igor E. Protsenko* and Alexander V. Uskov

  • Quantum Electronic Division, P.N. Lebedev Physical Institute of the RAS, Moscow 119991, Russia

  • *procenkoie@lebedev.ru

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Issue

Vol. 105, Iss. 5 — May 2022

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