Application of Perturbation Theory to a Master Equation

الملخص EN

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