89 citations · 229 across the 18 of their papers we have counts for
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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…
Quadratic Open Quantum Harmonic Oscillator
Ameur Dhahri, Franco Fagnola, Hyunjae Yoo
We study the quantum open system evolution described by a Gorini-Kossakowski-Sudarshan-Lindblad generator with creation and annihilation operators arising in Fock representations o…
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…
Structure of Uniformly Continuous Quantum Markov Semigroups
Julien Deschamps, Franco Fagnola, Emanuela Sasso +1
The structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra is established providing a naturaldecomposition of a Markovian open quantum…
Quantum Fokker-Planck models: the Lindblad and Wigner approaches
Anton Arnold, Franco Fagnola, Lukas Neumann
In this article we try to bridge the gap between the quantum dynamical semigroup and Wigner function approaches to quantum open systems. In particular we study stationary states an…
Generators of Detailed Balance Quantum Markov Semigroups
Franco Fagnola, Veronica Umanita
For a quantum Markov semigroup $\T$ on the algebra $\B$ with a faithful invariant state , we can define an adjoint $\widetilde{\T}$ with respect to the scalar product determined…