Application of perturbation theory to a master equation

BM Villegas-Martínez, F Soto-Eguibar… - Advances in …, 2016 - Wiley Online Library
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 …

Inverse of the Vandermonde and Vandermonde confluent matrices

H Moya-Cessa, F Soto-Eguibar - arXiv preprint arXiv:1211.1566, 2012 - arxiv.org
The inverse of the Vandermonde and confluent Vandermonde matrices are presented. In the
case of the Vandermonde matrix, we present a decomposition in three factors, one of them a …

[PDF][PDF] The principle of superposition for waves: The amplitude and phase modulation phenomena

LMA Aguilar, C Robledo-Sanchez… - Appl. Math. Inf …, 2012 - naturalspublishing.com
In this paper we will argue that the superposition of waves can be calculated in a simple
way. We show, using the Gauss's method to sum an arithmetic sequence, how it is possible …

The Matrix Perturbation Method for the Lindblad Master Equation

F Soto-Eguibar, BM Villegas-Martínez… - The Matrix Perturbation …, 2023 - Springer
This chapter presents the Matrix Perturbation Method for the Lindblad master equation,
which provides both first-and second-order corrections; to ensure generality, the method is …

Exact solution of degenerate and nondegenerate optical parametric oscillator coupled with a squeezed thermal bath

BM Villegas-Martínez, HM Moya-Cessa… - … Physics Letters B, 2018 - World Scientific
We solve exactly the master equation of the degenerate and nondegenerate parametric
oscillator in the presence of a squeezed reservoir. We show that the formal solutions of both …

Aplicación de teoría de perturbaciones a la ecuación maestra

BMV Martínez - 2015 - inaoe.repositorioinstitucional.mx
Los sistemas físicos abiertos, esdecir, aquellos que interaccionan con el medio ambiente,
constituyen un problema actual de mucha importancia. Las continuas fluctuaciones y los …

[PDF][PDF] Entropy squeezing of a three-level atom interacting with a cavity field

MM Nassara, H Eleuchb, M Abdel-Atyc, ASF Obadae - interaction, 2010 - researchgate.net
We study the field entropy squeezing as a measure of the entanglement in a three-level
system interacting with a cavity field. Numerical calculations under current experimental …