1. Markov model of quantum fluctuations at the transition to lasing of semiconductor nanolasers
- Author
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Laurent Chusseau, Fabrice Philippe, Arthur Vallet, Alain Jean-Marie, Institut d’Electronique et des Systèmes (IES), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Radiations et composants (RADIAC), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Systèmes complexes, automates et pavages (ESCAPE), Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier (LIRMM), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM), Network Engineering and Operations (NEO ), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), and ANR-15-CE24-0034,IDYLIC,Etudes des boites quantiques au sein de lasers à émission verticale et en cavité externe sous injection électrique pour la réalisation d'émetteurs bi-fréquence cohérent et compact(2015)
- Subjects
Semiconductor laser ,Physics ,Photon ,Markov chain ,Nanolaser ,Physics::Optics ,Condensed Matter Physics ,Markov model ,01 natural sciences ,Atomic and Molecular Physics, and Optics ,Electronic, Optical and Magnetic Materials ,010309 optics ,[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] ,Quantum mechanics ,0103 physical sciences ,Energy level ,Laser threshold ,010306 general physics ,Lasing threshold ,Quantum ,Quantum fluctuation - Abstract
International audience; A Markov model of semiconductor nanolaser is constructed in order to describe finely the effects of quantum fluctuations in the dynamics of the laser, in particular by considering the transition to lasing. Nanolasers are expected to contain only a small number of emitters, whose semiconductor bands are simulated using true carrier energy states. The model takes into account carrier-carrier interactions in the conduction and valence bands, but the result is a huge Markov chain that is often too demanding for direct Monte-Carlo simulation. We introduce here a technique to split the whole chain into two subchains, one referring to thermalization events within the bands and the other to laser photonic events of interest. The model is applied to the analysis of laser transition and enlightens the coexistence of a pulse regime triggered by the quantum nature of the photon with the birth of the known coherent cw regime. This conclusion is highlighted by calculated time traces. We show that on the ultrasmall scale of nanolasers, we are unable to define perfectly the threshold.
- Published
- 2019
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