35 citations · 82 across the 13 of their papers we have counts for
13 papers
System of stochastic interacting wave functions that model quantum measurements
Carlos M. Mora
We develop a system of non-linear stochastic evolution equations that describes the continuous measurements of quantum systems with mixed initial state. We address quantum systems…
Basic properties of a mean field laser equation
Franco Fagnola, Carlos M. Mora
We study the non-linear quantum master equation describing a laser under the mean field approximation. The quantum system is formed by a single mode optical cavity and two level at…
Weak variable step-size schemes for stochastic differential equations based on controlling conditional moments
Carlos M. Mora, Juan Carlos Jimenez, Monica Selva
We address the weak numerical solution of stochastic differential equations driven by independent Brownian motions (SDEs for short). This paper develops a new methodology to design…
Supercritical Poincaré-Andronov-Hopf bifurcation in a mean field quantum laser equation
F. Fagnola, C. M. Mora
We deal with the dynamical system properties of a Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation with mean-field Hamiltonian that models a simple laser by applying a mean fi…
Numerical solution of stochastic master equations using stochastic interacting wave functions
C. M. Mora, J. Fernández, R. Biscay
We develop a new approach for solving stochastic quantum master equations with mixed initial states. First, we obtain that the solution of the jump-diffusion stochastic master equa…
A weak Local Linearization scheme for stochastic differential equations with multiplicative noise
J. C. Jimenez, C. Mora, M. Selva
In this paper, a weak Local Linearization scheme for Stochastic Differential Equations (SDEs) with multiplicative noise is introduced. First, for a time discretization, the solutio…