Journal of Radio Electronics. eISSN 1684-1719. 2024. №4

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DOI: https://doi.org/10.30898/1684-1719.2024.4.6  

 

 

MODEL OF AN OPEN QUANTUM SYSTEM

FOR DESCRIBING THE OPERATION OF AN ERBIUM LASER

 

I.V. Vovchenko 1,4, E.S. Andrianov 1,2,3, A.V. Dorofeenko 1,2,3,4

 

1 Moscow Institute of Physics and Technology

141701, Russia, Dolgoprudnyi, Institutskii pereulok, d. 9

2 Institute for Theoretical and Applied Electromagnetics RAS

125412, Russia, Moscow, Izhorskaya str., 13

3 Dukhov Research Institute of Automatics (VNIIA),

127055, Russia, Moscow, Suschevskaya str., 22

4 Kotelnikov IRE RAS, 125009, Russia, Moscow, Mokhovaya, 11 b.7

 

The paper was received March 5, 2024.

 

Abstract. A quantum mechanical system consisting of an electromagnetic mode interacting with a set of erbium atoms is considered. For the density matrix of this system, the Gorini-Kossakovsky-Sudarshan-Lindblad master equation was considered in the local approach. From this master equation, equations are obtained that describe the average population of the electromagnetic mode and erbium atoms. For these equations, laser radiation generation curves were obtained and a comparative analysis with rate equations was carried out. It is shown that the presence of terms responsible for spontaneous emission in the resulting equations leads to a smoothing of the laser radiation generation threshold.

Key words: laser, fiber laser, physics of open quantum system.

Financing: The study was supported by Russian Science Foundation (project no. 20-72-10057).

Corresponding author: Ivan Vovchenko, vovchenko@phystech.edu  

 

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For citation:

Vovchenko I.V., Andrianov E.S., Dorofeenko A.V. Model of an open quantum system for describing the operation of an erbium laser. // Journal of Radio Electronics. – 2024. – №. 4. https://doi.org/10.30898/1684-1719.2024.4.6 (In Russian)