Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0109316

Keldysh and Doi-Peliti Techniques for out-of-Equilibrium Systems

Alex Kamenev

Published Sep 18, 2001• 0 citations
arXivHTMLPDF

Abstract

Lecture notes presented at Windsor NATO school on "Field Theory of Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems" (August 2001). The purpose of these lectures is to give a brief modern introduction to Keldysh non-equilibrium field theory and its classical analog - Doi-Peliti technique. The special emphasis is put on stressing the analogy between the two approaches.

DOI
10.48550/arxiv.cond-mat/0109316

Related papers

Many-body theory of non-equilibrium systems

Alex Kamenev

Lectures notes for 2004 Les Houches Summer School on "Nanoscopic Quantum Transport". These lectures contain an introduction to Keldysh formalism for interacting bosonic and fermionic systems, presented in the functional integral framework. Covered topics include: kinetic theory, relation to classical techniques (such as Martin--Siggia--Rose and Fokker--Planck), non--linear sigma model for disordered fermions, etc.

arXiv:cond-mat/0412296•Dec 11, 2004•65 citations

DMFT: From Infinite Dimensions to Real Materials

Eva Pavarini, D. Vollhardt, Erik Koch +1 more

Lecture notes of the Autumn School on Correlated Electrons 2018:Dieter Vollhardt: From Infinite Dimensions to Real Materials; Ole Andersen: From Materials to Models: Deriving Insight from Bands; Ferdi Aryasetiawan: Effective Electron-Electron Interaction in Many-Electron Systems; Marcus Kollar: The Foundations of Dynamical Mean-Field Theory; Michael Potthoff: Cluster Extensions of Dynamical Mean-Field Theory; Frank Lechermann: Charge Self-Consistency in Correlated Electronic Structure Calculations; Eva Pavarini: LDA+DMFT: Multi-Orbital Hubbard Models; Hao Tjeng: Determining Orbital Wavefunctions using Core-Level Non-Resonant Inelastic X-Ray Scattering; Hans Gerd Evertz: DMRG for Multiband Impurity Solvers; Fakher Assaad: Quantum Monte Carlo Methods for Fermion-Boson Problems; Erik Koch: Analytic Continuation of Quantum Monte Carlo Data; Hartmut Hafermann: Introduction to Diagrammatic Approaches; Thomas Maier: Dynamical Mean-Field and Dynamical Cluster Approximation Based Theory of Superconductivity; Karsten Held: Quantum Criticality and Superconductivity in Diagrammatic Extensions of DMFT; Martin Eckstein: Correlated Electrons out of Equilibrium: Non-Equilibrium DMFT

•Jan 1, 2018•12 citations

Nonequilibrium quantum fields: from cold atoms to cosmology

Jürgen Berges

Lecture notes of the Les Houches Summer School on 'Strongly interacting quantum systems out of equilibrium'.

arXiv:1503.02907•Oxford University Press eBooks•Jun 23, 2016•80 citations

Interacting fermions in one dimension: from weak to strong correlation

Heinz J. Schulz

Lecture notes from the Jerusalem Winter School on Theoretical Physics "Correlated Electron Systems", Dec. 1991 -- Jan. 1992. Contains a review of recent and not so recent results in the theory of correlated fermions in one dimension.

arXiv:cond-mat/9302006•Feb 3, 1993•8 citations

Non Abelian bosonization and WZNW models

Alexei M. Tsvelik

In these Lectures we discuss some aspects of theory of strongly correlated low-dimensional systems. In (1+1) and two dimensions availability of non-perturbative techniques makes it possible to obtain solutions of non-trivial models. One of such techniques is called bosonization. In this course we discuss a generalization of this technique for systems with isotopic symmetry.

AIP conference proceedings•Jan 1, 2001•1 citation

Calculating Feynman diagrams with matrix product states

Xavier Waintal

This text reviews, hopefully in a pedagogical manner, a series of work on the automatic calculations of Feynman diagrams in the context of quantum nanoelectronics (Keldysh formalism) with an application to the Kondo effect in the out-of-equilibrium single impurity Anderson model. It includes a discussion of (A) how to deal with the proliferation of diagrams, (B) how to calculate them using the Tensor Cross Interpolation algorithm instead of Monte-Carlo and (C) how to resum the obtained series. These notes correspond to a lecture given at the Autumn School on Correlated Electrons 2025 in Jullich, Germany. The book with all the lectures of the school (edited by Eva Pavarini, Erik Koch, Alexander Lichtenstein, and Dieter Vollhardt) is available in open access.

arXiv:2602.03598•Feb 3, 2026•0 citations
Lecture notes presented at Windsor NATO school on "Field Theory of Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems" (August 2001). The purpose of these lectures is to give a brief modern introduction to Keldysh non-equilibrium field theory and its classical analog - Doi-Peliti technique. The special emphasis is put on stressing the analogy between the two approaches.
Lecture notes of the Autumn School on Correlated Electrons 2018:Dieter Vollhardt: From Infinite Dimensions to Real Materials; Ole Andersen: From Materials to Models: Deriving Insight from Bands; Ferdi Aryasetiawan: Effective Electron-Electron Interaction in Many-Electron Systems; Marcus Kollar: The Foundations of Dynamical Mean-Field Theory; Michael Potthoff: Cluster Extensions of Dynamical Mean-Field Theory; Frank Lechermann: Charge Self-Consistency in Correlated Electronic Structure Calculations; Eva Pavarini: LDA+DMFT: Multi-Orbital Hubbard Models; Hao Tjeng: Determining Orbital Wavefunctions using Core-Level Non-Resonant Inelastic X-Ray Scattering; Hans Gerd Evertz: DMRG for Multiband Impurity Solvers; Fakher Assaad: Quantum Monte Carlo Methods for Fermion-Boson Problems; Erik Koch: Analytic Continuation of Quantum Monte Carlo Data; Hartmut Hafermann: Introduction to Diagrammatic Approaches; Thomas Maier: Dynamical Mean-Field and Dynamical Cluster Approximation Based Theory of Superconductivity; Karsten Held: Quantum Criticality and Superconductivity in Diagrammatic Extensions of DMFT; Martin Eckstein: Correlated Electrons out of Equilibrium: Non-Equilibrium DMFT
This text reviews, hopefully in a pedagogical manner, a series of work on the automatic calculations of Feynman diagrams in the context of quantum nanoelectronics (Keldysh formalism) with an application to the Kondo effect in the out-of-equilibrium single impurity Anderson model. It includes a discussion of (A) how to deal with the proliferation of diagrams, (B) how to calculate them using the Tensor Cross Interpolation algorithm instead of Monte-Carlo and (C) how to resum the obtained series. These notes correspond to a lecture given at the Autumn School on Correlated Electrons 2025 in Jullich, Germany. The book with all the lectures of the school (edited by Eva Pavarini, Erik Koch, Alexander Lichtenstein, and Dieter Vollhardt) is available in open access.