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Generalized Master Equation Approach toTime-Dependent Many-Body Transport

Generalized Master Equation Approach toTime-Dependent Many-Body Transport

Title: Generalized Master Equation Approach toTime-Dependent Many-Body Transport
Author: Moldoveanu, Valeriu
Manolescu, Andrei   orcid.org/0000-0002-0713-4664
Gudmundsson, Vidar   orcid.org/0000-0001-8939-3522
Date: 2019-07-25
Language: English
Scope: 731
University/Institute: Háskólinn í Reykjavík
Reykjavik University
School: Tækni- og verkfræðideild (HR)
School of Science and Engineering (RU)
Series: Entropy;21(8)
ISSN: 1099-4300 (eISSN)
DOI: 10.3390/e21080731
Subject: General physics and astronomy; Time-dependent transport; Electron-photon coupling; Open quantum systems; Electron transport; Photons; Electrons; Mathematical models; Markov processes; Electromagnetic coupling; Eðlisfræði; Skammtafræði; Rafeindir; Ljóseindir; Reiknilíkön; Markovferli; Rafsegulfræði
URI: https://hdl.handle.net/20.500.11815/1900

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Moldoveanu, V., Manolescu, A., & Gudmundsson, V. (2019). Generalized Master Equation Approach to Time-Dependent Many-Body Transport. Entropy, 21(8), 731. https://doi.org/10.3390/e21080731


We recall theoretical studies on transient transport through interacting mesoscopic systems. It is shown that a generalized master equation (GME) written and solved in terms of many-body states provides the suitable formal framework to capture both the effects of the Coulomb interaction and electron-photon coupling due to a surrounding single-mode cavity. We outline the derivation of this equation within the Nakajima-Zwanzig formalism and point out technical problems related to its numerical implementation for more realistic systems which can neither be described by non-interacting two-level models nor by a steady-state Markov-Lindblad equation. We first solve the GME for a lattice model and discuss the dynamics of many-body states in a two-dimensional nanowire, the dynamical onset of the current-current correlations in electrostatically coupled parallel quantum dots and transient thermoelectric properties. Secondly, we rely on a continuous model to get the Rabi oscillations of the photocurrent through a double-dot etched in a nanowire and embedded in a quantum cavity. A many-body Markovian version of the GME for cavity-coupled systems is also presented.


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