Adiabatic Elimination for Laser Equations via Center Manifold Theory View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1989

AUTHORS

Gian-Luca Oppo , Antonio Politi

ABSTRACT

The adiabatic elimination of variables which are irrelevant to the dynamical evolution of laser output, is a widely used procedure in Quantum Optics [1]. This techinique allowed the development of simple models capable of describing the time evolution of laser sources. In spite of their wide use, the adiabatic reduction is often not based on a solid mathematical framework. Naive procedures like setting the time derivatives of the fast variables equal to zero have been proven to be unsatisfactory and, in some instances, incorrect [2]. The aim of this communication is to provide a mathematical theory based on the center manifold [3], for a correct reduction of the number of variables and to show that its application does not require ad hoc treatments. More important, the center manifold technique allows one to derive a two dimensional system of equations capable of describing oscillatory states in antithesis with what the community of Quantum Optics has believed for a long time [4]. More... »

PAGES

835-839

References to SciGraph publications

Book

TITLE

Coherence and Quantum Optics VI

ISBN

978-1-4612-8112-2
978-1-4613-0847-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4613-0847-8_151

DOI

http://dx.doi.org/10.1007/978-1-4613-0847-8_151

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1028017398


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