A Mean-Field Laser Quantum Master Equation

Franco Fagnola, Carlos M. Mora

We study the nonlinear 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 atoms, which interact with reservoirs. Namely, we establish the existence and uniqueness of the regular solution to the nonlinear operator equation under consideration, as well as we get a probabilistic representation for this solution in terms of a mean field stochastic Schrödinger equation. To this end, we find a regular solution for the nonautonomous linear quantum master equation in Gorini–Kossakowski–Sudarshan–Lindblad form, and we prove the uniqueness of the solution to the nonautonomous linear adjoint quantum master equation in Gorini–Kossakowski–Sudarshan–Lindblad form. Moreover, we obtain rigorously the Maxwell–Bloch equations from the mean field laser equation.

Joshua Wilkie, Murat Çetinbaş

A mean field argument is used to derive a master equation for systems simultaneously interacting with external fields and coupled environmental degrees of freedom. We prove that this master equation preserves positivity of the reduced density matrix. Solutions of the master equation are compared with exact solutions for a system consisting of three spins which is manipulated with a sequence of laser pulses while interacting with a spin-bath. Exact solutions appear to converge to the master equation result as the number of bath spins increases.

Miguel Orszag

Takahiro Tominaga, Toshihico Arimitsu, J. Pradko +1 more

In F

The resonance fluorescence of an atom in an intense laser field was investigated via dressed atom approach. The steady st te solution of the master ,equation was obtained, in which the damping of the photon in laser mode was compensated by introducing a exciting term in the master equation. The shape and intensity of the resonance fluoresoenoe was given. Some physios means was discussed.