Phase coherent transmission through interacting mesoscopic systems

This is a review of the phase coherent transmission through interacting mes oscopic conductors. As a paradigm we study the transmission amplitude and t he dephasing rate for electron transport through a quantum dot in the Coulo mb blockade regime. We summarize experimental and theoretical work devoted to the phase of the transmission amplitude. It is shown that the evolution of the transmission phase may be dominated by non-universal features in the short-time dynamics of the quantum dot. The controlled dephasing in Coulom b-coupled conductors is investigated. Examples comprise a single or multipl e quantum dots in close vicinity to a quantum point contact. The current th rough the quantum point contact "measures" the state of the dots and causes dephasing. The dephasing rate is derived using widely different theoretica l approaches. The Coulomb coupling between mesoscopic conductors may prove useful for future work on electron coherence and quantum computing. (C) 200 1 Elsevier Science B.V. All rights reserved.