Application of Perturbation Theory to a Master Equation

B. M. Villegas-Martínez, F. Soto-Eguibar and H. M. Moya-Cessa

Advances in Mathematical Physics, 2016, vol. 2016, 1-7

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 the -function, the average number of photons, and the distance between density matrices.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9265039

DOI: 10.1155/2016/9265039

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