Quantum electromechanical systems and finite-frequency quantum transport

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Mesoscopic physics is the study of electronic systems which are large compared to atomic scales, but which nonetheless are influenced by the presence of quantum phase coherence. The topics studied in this subfield of condensed matter physics have relevance to possible applications (e.g. nano and quantum electronics, quantum information processing); they are also of fundamental interest, as they often involve the complex interplay of disorder physics, quantum interference and (possibly strong) interparticle interactions. This proposal deals with topics in two relatively new areas of mesoscopic physics: quantum electro-mechanics and finite-frequency quantum transport. The first topic (quantum electro-mechanics) involves the study of mesoscopic electronic systems coupled to mechanical resonators (e.g. a single electron transistor coupled to a micron-scale doubly-clamped beam). The second topic (finite-frequency quantum transport) involves the study of the dynamic response of mesoscopic conductors, as well as their real-time fluctuations.