Titill: | Generalized Master Equation Approach toTime-Dependent Many-Body Transport |
Höfundur: |
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Útgáfa: | 2019-07-25 |
Tungumál: | Enska |
Umfang: | 731 |
Háskóli/Stofnun: | Háskólinn í Reykjavík Reykjavik University |
Svið: | Tækni- og verkfræðideild (HR) School of Science and Engineering (RU) |
Birtist í: | Entropy;21(8) |
ISSN: | 1099-4300 (eISSN) |
DOI: | 10.3390/e21080731 |
Efnisorð: | 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 |
Tilvitnun: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
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Útdráttur: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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Athugasemdir:Publisher's version (útgefin grein).
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Leyfi:This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
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