NUSOD 2017 Preview: Simulation of quantum dot devices by coupling of quantum master equations and semi-classical transport theory
Quantum optics is on the leap from the lab to real world applications. The design of novel devices based on semiconductor quantum dots asks for simulation approaches, which combine classical device physics with quantum mechanics. We connect the well-established fields of classical semiconductor transport theory and theory of open quantum systems to meet this requirement. By coupling the van Roosbroeck system with a quantum master equation in Lindblad form, we introduce a new hybrid quantum-classical modeling approach, which provides a comprehensive description of quantum dot devices on multiple scales: It enables the calculation of quantum optical figures of merit and the spatially resolved simulation of the current flow in realistic semiconductor device geometries in a unified way. We construct the interface between both theories in such a way, that the resulting hybrid system obeys the fundamental axioms of (non-)equilibrium thermodynamics. We show that our approach guarantees the conservation of charge, consistency with the thermodynamic equilibrium and the second law of thermodynamics .
We demonstrate our hybrid modeling approach by numerical simulations of an electrically driven single-photon source based on a single quantum dot. We investigate the stationary and the pulsed operation regime and calculate the current flow in combination with the single-photon generation rate and the second order intensity correlation function. More details will be presented at the NUSOD 2017 conference (paper ThD1).
 M. Kantner, M. Mittnenzweig and Th. Koprucki: Hybrid quantum-classical modeling of quantum dot devices, WIAS Preprint No. 2412 (2017). DOI: 10.20347/WIAS.PREPRINT.2412