A2 Review article, Literature review, Systematic review
A many-body approach to transport in quantum systems : From the transient regime to the stationary state (2022)


Ridley, M., Talarico, N. W., Karlsson, D., Lo Gullo, N., & Tuovinen, R. (2022). A many-body approach to transport in quantum systems : From the transient regime to the stationary state. Journal of Physics A : Mathematical and Theoretical, 55(27), Article 273001. https://doi.org/10.1088/1751-8121/ac7119


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Publication details

All authors or editorsRidley, Michael; Talarico, N. Walter; Karlsson, Daniel; Lo Gullo, Nicola; Tuovinen, Riku

Journal or seriesJournal of Physics A : Mathematical and Theoretical

ISSN1751-8113

eISSN1751-8121

Publication year2022

Publication date18/05/2022

Volume55

Issue number27

Article number273001

PublisherIOP Publishing

Publication countryUnited Kingdom

Publication languageEnglish

DOIhttps://doi.org/10.1088/1751-8121/ac7119

Publication open accessOpenly available

Publication channel open accessPartially open access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/82152

Publication is parallel publishedhttps://arxiv.org/abs/2201.02646


Abstract

We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same footing, inter-particle interactions, external drives and/or perturbations, and coupling to baths with a (piece-wise) continuum set of degrees of freedom. After a historical overview on the theory of transport in quantum systems, we present a modern introduction of the NEGF approach to quantum transport. We discuss the inclusion of inter-particle interactions using diagrammatic techniques, and the use of the so-called embedding and inbedding techniques which take the bath couplings into account non-perturbatively. In various limits, such as the non-interacting limit and the steady-state limit, we then show how the NEGF formalism elegantly reduces to well-known formulae in quantum transport as special cases. We then discuss non-equilibrium transport in general, for both particle and energy currents. Under the presence of a time-dependent drive -- encompassing pump--probe scenarios as well as driven quantum systems -- we discuss the transient as well as asymptotic behavior, and also how to use NEGF to infer information on the out-of-equilibrium system. As illustrative examples, we consider model systems general enough to pave the way to realistic systems. These examples encompass one- and two-dimensional electronic systems, systems with electron--phonon couplings, topological superconductors, and optically responsive molecular junctions where electron--photon couplings are relevant.


Keywordsquantum physics

Free keywordsquantum transport; many-body correlation; non-equilibrium Green’s function


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Ministry reportingYes

Reporting Year2022

JUFO rating2


Last updated on 2024-26-03 at 09:21