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:
File | Dimensione | Formato | |
---|---|---|---|
2010-07-04-11.pdf
Accesso riservato
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
744.95 kB
Formato
Adobe PDF
|
744.95 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.