Prof. Dr. Andrea Donarini

The course is an introduction to the theory of quantum transport in mesoscopic and nanoscopic systems.

Contents of the lecture will be discussed on Tuesday, October 15.

Here a short outline:

1. Scope and preliminary concepts

2. The transport problem

3. Kubo linear transport theory

4. Application: From quantum point contacts to quantum interferometers

5. A density matrix formulation to non-equilibrium transport

6. Application: Nonlinear transport through interacting quantum dots

7. A Green's function formulation to non-equilibrium transport

8. Quantum noise

The course is an introduction to the theory of open systems in the reduced density matrix description. Basic concepts of quantum transport are also presented. Fundamental transport properties of interacting nano-junctions are analyzed using the Liouville approach. The theory is applicable to a large variety of systems and several examples will be considered.