TIME DEPENDENT TRANSPORT, GENERALIZED MASTER EQUATION< AND COULOMB INTERACTION IN QUANTUM NANOSYSTEMS

Andrei Manolescu (Reykjavik University, Island)

The quantum statistical behavior of a mesoscopic sample connected to macroscopic leads is described by the so called reduced density operator (RDO) which is obtained by averaging the statistical operator of the total system over the degrees of freedom corresponding to the leads. RDO satisfies the generalized master equation which is used to describe time dependent transport through the sample driven by an electric bias. The Coulomb interaction between the electrons in the sample is included with the exact diagonalization method. Several examples of time dependent charging or discharging of the sample and dynamic Coulomb correlation effects are discussed.