2016/10/31 by Thorsteinn H. Jonsson, Þorsteinn Jónsson, Andrei Manolescu +8 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Eigenvalues and eigenvectors #Fock space #Markov process #Master equation #Mathematics #Open system (computing) #Photon #Physical system #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum master equation #Quantum mechanics #Quantum system #Radiative transfer #Relaxation (psychology) #Spectroscopy and Quantum Chemical Studies #State space #Statistical physics #Steady state (chemistry) #Time evolution #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1016/j.cpc.2017.06.018
published as Computer Physics Communications 220, 81 (2017) · 12 pages, RevTeX with 6 included figures
arxiv created 2017/05/19 · openalex publication_date 2017/07/03 · arxiv updated 2018/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.