Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 36: Brownian Motion (jointly with DY)

TT 36.8: Talk

Tuesday, March 21, 2017, 12:00–12:15, ZEU 147

Full counting statistics in the non-Markovian, strong-coupling regime - a hierarchy of equations of motion approach — •Maximilian Buser, Javier Cerrillo, and Tobias Brandes — Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

Within the framework of open quantum systems, we present a new numerical approach to full-counting statistics (FCS) of environmental observables. It is based on the hierarchy of equations of motion (HEOM) technique, a well-established method for the simulation of general multilevel open systems. Thereby, our method directly inherits the key advantages from the HEOM. It faithfully represents non-Markovian effects of the environment and is non-perturbative in the open system-environment coupling strength. Additionally, arbitrary time dependencies of the system Hamiltonian are correctly treated. Here, we focus on usual two-point measurement statistics and show how the back-effect accompanying the initial measurement becomes especially relevant within the now accessible regime. We exemplify our method with a discussion of energetic fluxes trough open systems which are subject to environmental far from equilibrium constraints and study the effect of time-dependent control on the system.