We start with a short introduction to quantum master equations for semigroups of completely positive normal maps describing the evolution of open quantum systems and discuss in, particular, the structure of generators (Gorini-Kossakowski-Sudarshan-Lindblad). We study the quantum Fokker--Planck equation for the density matrix of a quantum state with the approach developed for the study of master equations in open quantum systems. We discuss existence of stationary states and long time asymptotics.
Quantum Fokker-Planck models: an Open System Approach
FAGNOLA, FRANCO
2011-01-01
Abstract
We start with a short introduction to quantum master equations for semigroups of completely positive normal maps describing the evolution of open quantum systems and discuss in, particular, the structure of generators (Gorini-Kossakowski-Sudarshan-Lindblad). We study the quantum Fokker--Planck equation for the density matrix of a quantum state with the approach developed for the study of master equations in open quantum systems. We discuss existence of stationary states and long time asymptotics.File in questo prodotto:
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