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dc.contributor.authorRidley, Michael
dc.contributor.authorTalarico, N. Walter
dc.contributor.authorKarlsson, Daniel
dc.contributor.authorLo Gullo, Nicola
dc.contributor.authorTuovinen, Riku
dc.identifier.citationRidley, 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. <i>Journal of Physics A : Mathematical and Theoretical</i>, <i>55</i>(27), Article 273001. <a href="" target="_blank"></a>
dc.description.abstractWe 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.en
dc.publisherIOP Publishing
dc.relation.ispartofseriesJournal of Physics A : Mathematical and Theoretical
dc.rightsCC BY 4.0
dc.subject.otherquantum transport
dc.subject.othermany-body correlation
dc.subject.othernon-equilibrium Green’s function
dc.titleA many-body approach to transport in quantum systems : From the transient regime to the stationary state
dc.contributor.laitosFysiikan laitosfi
dc.contributor.laitosDepartment of Physicsen
dc.contributor.oppiaineNanoscience Centerfi
dc.contributor.oppiaineNanoscience Centeren
dc.rights.copyright© 2022 the Authors
dc.relation.funderSuomen Akatemiafi
dc.relation.funderAcademy of Finlanden
jyx.fundingprogramTutkijatohtori, SAfi
jyx.fundingprogramPostdoctoral Researcher, AoFen
jyx.fundinginformationM.R. wishes to acknowledge support from the Israel Science Foundation Grant No. 2064/19 and the National Science Foundation–US-Israel Binational Science Foundation Grant No. 735/18. N.W.T. acknowledges financial support from the Academy of Finland via the Centre of Excellence program (Project no. 312058) and from the Finnish Cultural Foundation via PoDoCo program (Project no. 00210085). D.K. likes to thank the Academy of Finland for funding under Project No. 308697. R.T. would like to thank the Academy of Finland for financial support under the Project No. 321540, 345007.

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