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An introduction to real-time renormalization group

1999/09/28 by Herbert Schoeller
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf

published as Lect.Notes Phys. 544 (2000) 137-166 · 30 pages, 7 figures

arxiv created 1999/09/28 · arxiv updated 2009/11/30

Abstract

This article presents a tutorial introduction to a recently developed real-time renormalization group method. It describes nonequilibrium properties of discrete quantum systems coupled linearly to an environment. We illustrate the technique by a simple and exactly solvable model: A quantum dot consisting of a single non-degenerate level coupled to two reservoirs. The article is intended for advanced students. Besides elementary quantum mechanics and statistical mechanics, it requires only knowledge of second quantization and Wick's theorem.

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