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Open Quantum Systems Decoherence Quantum Simulation

A mathematical account of the NEGF formalism

arXiv

Authors: H. D. Cornean, V. Moldoveanu, C. -A. Pillet

Year

2017

Paper ID

44672

Status

Preprint

Abstract Read

~2 min

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Abstract

The main goal of this paper is to put on solid mathematical grounds the so-called Non-Equilibrium Green's Function (NEGF) transport formalism for open systems. In particular, we derive the Jauho-Meir-Wingreen formula for the time-dependent current through an interacting sample coupled to non-interacting leads. Our proof is non-perturbative and uses neither complex-time Keldysh contours, nor Langreth rules of 'analytic continuation'. We also discuss other technical identities (Langreth, Keldysh) involving various many body Green's functions. Finally, we study the Dyson equation for the advanced/retarded interacting Green's function and we rigorously construct its (irreducible) self-energy, using the theory of Volterra operators.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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The main goal of this paper is to put on solid mathematical grounds the so-called Non-Equilibrium Green's Function (NEGF) transport formalism for open systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.03524 [2] arXiv https://arxiv.org/abs/1707.03524 [3] Publisher https://arxiv.org/abs/1707.03524

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