Application of Perturbation Theory to a Master Equation-Reference-Cited by-同舟云学术

Application of Perturbation Theory to a Master Equation

Published:2016 Issue: Volume:2016 Page:1-7
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Villegas-Martínez B. M.¹,Soto-Eguibar F.¹^ORCID,Moya-Cessa H. M.¹

Affiliation:

1. Instituto Nacional de Astrofísica, Óptica y Electrónica, INAOE, Calle Luis Enrique Erro 1, 72840 Santa María Tonantzintla, PUE, Mexico

Abstract

We develop a matrix perturbation method for the Lindblad master equation. The first- and second-order corrections are obtained and the method is generalized for higher orders. The perturbation method developed is applied to the problem of a lossy cavity filled with a Kerr medium; the second-order corrections are estimated and compared with the known exact analytic solution. The comparison is done by calculating theQ-function, the average number of photons, and the distance between density matrices.

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2016/9265039.pdf

Reference26 articles.

1. Classical equations for quantum systems

2. Sonic analogue of black holes and the effects of high frequencies on black hole evaporation

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