Dresden 2011 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 61: TR: Nanoelectronics I - Quantum Dots, Wires, Point Contacts 3

TT 61.5: Talk

Friday, March 18, 2011, 11:30–11:45, HSZ 304

Time-convolutionless master equation for quantum dots to all orders in the tunneling — •Carsten Timm — Technische Universität Dresden, Germany

Master equations describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads are considered. I derive an exact time-convolutionless master equation for the probabilities of dot states, i.e., a Pauli master equation. The derivation naturally leads to an expansion in the tunneling amplitudes between dot and leads, which is obtained to arbitrary order. Relations to the time-nonlocal Nakajima-Zwanzig master equation and to the T-matrix approach are exhibited. The absence of divergences in the time-convolutionless and Nakajima-Zwanzig formalisms is demonstrated for all orders.