Generalized Master Equation Approach to Time-Dependent Many-Body Transport
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...
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| Format: | Article |
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MDPI AG
2019-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/8/731 |
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| author | Valeriu Moldoveanu Andrei Manolescu Vidar Gudmundsson |
| author_facet | Valeriu Moldoveanu Andrei Manolescu Vidar Gudmundsson |
| author_sort | Valeriu Moldoveanu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T19:37:33Z |
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| id | doaj.art-538d7fdc17e640cc89b3a0f8b822c4a2 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-12T19:37:33Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-538d7fdc17e640cc89b3a0f8b822c4a22022-12-22T03:19:11ZengMDPI AGEntropy1099-43002019-07-0121873110.3390/e21080731e21080731Generalized Master Equation Approach to Time-Dependent Many-Body TransportValeriu Moldoveanu0Andrei Manolescu1Vidar Gudmundsson2National Institute of Materials Physics, Atomistilor 405A, 077125 Magurele, RomaniaSchool of Science and Engineering, Reykjavik University, Menntavegur 1, IS-101 Reykjavik, IcelandScience Institute, University of Iceland, Dunhaga 3, IS-107 Reykjavik, IcelandWe 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.https://www.mdpi.com/1099-4300/21/8/731time-dependent transportelectron–photon couplingopen quantum systems |
| spellingShingle | Valeriu Moldoveanu Andrei Manolescu Vidar Gudmundsson Generalized Master Equation Approach to Time-Dependent Many-Body Transport Entropy time-dependent transport electron–photon coupling open quantum systems |
| title | Generalized Master Equation Approach to Time-Dependent Many-Body Transport |
| title_full | Generalized Master Equation Approach to Time-Dependent Many-Body Transport |
| title_fullStr | Generalized Master Equation Approach to Time-Dependent Many-Body Transport |
| title_full_unstemmed | Generalized Master Equation Approach to Time-Dependent Many-Body Transport |
| title_short | Generalized Master Equation Approach to Time-Dependent Many-Body Transport |
| title_sort | generalized master equation approach to time dependent many body transport |
| topic | time-dependent transport electron–photon coupling open quantum systems |
| url | https://www.mdpi.com/1099-4300/21/8/731 |
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