1. quantum master equation approach to transport

Jian-Sheng Wang

National University of Singapore, Singapore

24 March 2021 Wed 4:35 pm

                                      IBS Center for Theoretical Physics of Complex Systems (PCS), Administrative Office (B349), Theory Wing, 3rd floor

                                      Expo-ro 55, Yuseong-gu, Daejeon, South Korea, 34126 Tel: +82-42-878-8633                     

In this talk I will try to summarize the main points we learned over the years on the quantum master equation approach to transport. This is taken in a particular perspective of nonequilibrium Green’s function (NEGF). First, we note that a simple-minded Dyson expansion for the reduced density matrix (the main object of the quantum master equation) turns out divergent, and a process of eliminating the initial condition is needed in order to producing the quantum master equation. We then give a recipe for the second order (in the system-bath couplings) density matrix known as analytic continuation (AC) and discuss its range of validity. Lastly, I will discuss few applications such as the thermoelectric problem in a time-dependent setting, and few other things, depending on how much time I still have.