Efficient determination of the Markovian time-evolution towards a steady-state of a complex open quantum system
Abstract
Master equations are commonly used to describe time evolution of open systems. We introduce a general method for calculating a Markovian solution of the Nakajima-Zwanzig generalized master equation. We do so for a time dependent transport of interacting electrons through a complex nano scale system in a photon cavity. The central system, described by 120 many-body states in a Fock space, is weakly coupled to the external leads. The very diverse relaxation times of the open system, reflecting radiative or non-radiative transitions, require information about the time evolution through many orders of magnitude. In our approach, the generalized master equation is mapped from a many-body Fock space of states to a Liouville space of transitions. We show that this results in a linear equation which is solved exactly through an eigenvalue analysis, which supplies information on the steady state and the time evolution of the system.
Cite
@article{arxiv.1610.03223,
title = {Efficient determination of the Markovian time-evolution towards a steady-state of a complex open quantum system},
author = {Thorsteinn H. Jonsson and Andrei Manolescu and Hsi-Sheng Goan and Nzar Rauf Abdullah and Anna Sitek and Chi-Shung Tang and Vidar Gudmundsson},
journal= {arXiv preprint arXiv:1610.03223},
year = {2018}
}
Comments
12 pages, RevTeX with 6 included figures