Publications, talks, books, theses...
devoted to Nonequilibrium Greens Functions, with the focus on
twotime KeldyshKadanoffBaym Equations (KBE)
The list below is incomplete and will always be. We try to complete it.
To submit additions, corrections, comments..., go to contact. We appreciate if you
use the following template
Please, include brief comments on your paper or keywords which will help to
find your paper in a search (see search option on the right).
Books and review papers covering KeldyshKadanoffBaym equations

Nonequilibrium ManyBody Theory of Quantum Systems: A Modern Introduction,
Gianluca Stefanucci and Robert van Leeuwen, Cambridge 2013

Nonequilibrium Green's Functions Approach to Inhomogeneous Systems,
Karsten Balzer and Michael Bonitz, Springer Lecture Notes in Physics, vol. 867 (2013)

Progress in Nonequilibrium Greens Functions V,
Robert van Leeuwen, Riku Tuovinen, and M. Bonitz (eds.), J. Phys. Conf. Ser. vol. 427 (2013)
Comments: review papers on KBE. Contents and pdffiles of articles are freely available from this
link to IoP

Progress in Nonequilibrium Greens Functions IV,
M. Bonitz and K. Balzer (eds.), J. Phys. Conf. Ser. vol. 220 (2010)
Comments: review papers on KBE. Contents and pdffiles of articles are freely available from this
link to IoP

E. Calzetta, B. L. Hu,
Nonequilibrium quantum field theory,
Cambridge University Press, 2008
Comment: overview of nonequilibrium statistical mechanics and QFT techniques including
linear response theory, quantum kinetic theory and the hydrodynamical limit.

Introduction to Computational Methods for ManyBody Physics,
M. Bonitz and D. Semkat (eds.), Rinton Press, Princeton 2006
Comments: includes one extensive chapter on numerical solution of KBE for
spatially homogeneous systems and discussion of initial correlations

Progress in Nonequilibrium Greens Functions III,
M. Bonitz and A. Filinov (eds.), J. Phys. Conf. Ser. vol. 35 (2006)
Comments: review papers on KBE. Online version is free
discounted printed copies available, see contact

Progress in Nonequilibrium Greens Functions II,
M. Bonitz and D. Semkat (eds.), World Scientific Publ., Singapore 2003
Comments: review papers on KBE. Includes historical reviews by Leonid Keldysh and by Alex Abrikosov.
discounted copies available, see contact

D. Kremp, M. Schlanges, W.D. Kraeft,
Quantum Statistics of Nonideal Plasmas, Springer (2005)
Comments: includes details of twotime KBE, applications to transport and lasermatter interaction etc.

Progress in Nonequilibrium Greens Functions,
M. Bonitz (ed.), World Scientific Publ., Singapore 2000
Comments: review papers on KBE. Includes historical reviews by Paul C. Martin and by Gordon Baym.

M. Bonitz,
Quantum Kinetic Theory, B.G. Teubner, Stuttgart, Leipzig, 1998
Comments: extensive coverage of singletime quantum kientic equations (density operator formalism)
and one chapter on relativistic and nonrelativistic KeldyshKadanoffBaym equations

H. Haug, A.P. Jauho,
Quantum Kinetics in Transport and Optics of Semiconductors,
Springer, 1996, Second, and substantially revised edition 2008

L.P. Kadanoff, G. Baym,
Quantum Statistical Mechanics,
Benjamin, New York, 1962
further editions: Advanced book classics, AddisonWesley, Reading 1989
comments: THE standard text book reference on nonequilibrium Greens functions
Masters and PhD theses on KeldyshKadanoffBaym equations

Sebastian Hermanns,
Nonequilibrium Green's functions approach to Hubbard nanoclusters using the generalized KadanoffBaym ansatz,
PhD thesis, Kiel University 2012, advisor: M. Bonitz

Karsten Balzer,
Solving the Twotime KadanoffBaym Equations. Application to Model Atoms and Molecules,
PhD thesis, Kiel University 2011, advisor: M. Bonitz

A. Hohenegger,
Finite Density Aspects of Leptogenesis,
PhD thesis, University Heidelberg 2009,

Lasse Rosenthal,
Greens functions approach to electronhole bilayers, (in German)
Diploma thesis, Kiel University 2009, advisor: M. Bonitz
pdffile

Adrian Stan,
Conserving approximations in nonequilibrium green function theory,
PhD thesis, University Groningen 2009, advisor: R. van Leeuwen
pdffile

David Hochstuhl,
Nonequilibrium Green functions approach to ionization processes,
Diploma thesis, Kiel University 2008, advisor: M. Bonitz
pdffile

M. Garny,
Particle Physics and Dark Energy: Beyond Classical Dynamics,
PhD thesis, MPIK Heidelberg/TU Munich, 2008, advisor: M. Lindner
pdffile
Comment: chapters 68 cover relativistic KadanoffBaym equations with initial correlations

Mahdi Pourfath,
Numerical Study of Quantum Transport in Carbon Nanotube Based Transistors,
PhD thesis, TU Wien 2007

Karsten Balzer,
Nonequilibrium Green functions approach to artificial atoms,
Diploma thesis, Kiel University 2007, advisor: M. Bonitz
pdffile

Andrea Fromm,
Nonequilibrium Green functions approach to inhomogeneous semiconductors in strong
electromagnetic fields, (in German)
Diploma thesis, Kiel University 2006, advisor: M. Bonitz
pdffile

M. M. Müller,
Comparison of Boltzmann Kinetics with Quantum Dynamics for Relativistic Quantum Fields,
PhD thesis, TU Munich, 2006, advisor: M. Lindner
pdffile

Dirk Semkat,
Initial correlations and memory effects in kinetic theory, (in German)
Diploma thesis, Rostock University 1996
advisors: D. Kremp and M. Bonitz
Papers
2011

T. Koch, A. Alvermann, H. Fehske
Nonequilibrium transport through molecular junctions in the quantum regime
arXiv:1105.0576v1

J. Marbach, F.X. Bronold, H. Fehske
Auger deexcitation of metastable molecules at metallic surfaces
arXiv:arXiv:1012.3576v2

A. Rios, B. Barker, M. Buchler, P. Danielewicz
Towards a nonequilibrium Green’s function description of nuclear reactions: onedimensional meanfield dynamics
Ann. Phys. (N.Y.), 326, 12741319 (2011)
doi: 10.1016/j.aop.2010.12.009
arXiv:1009.0215v1
2010

M. Bonitz, D. Hochstuhl, S. Bauch, K. Balzer
Quantum Kinetic Approach to TimeResolved Photoionization of Atoms
Contrib. Plasma Phys., 50, 5459 (2010)
doi: 10.1002/ctpp.201010012
arXiv:0910.5458

K. Balzer, S. Bauch, M. Bonitz
Efficient gridbased method in nonequilibrium Green's function calculations: Application to model atoms and molecules
Phys. Rev. A, 81, 022510 (2010)
doi: 10.1103/PhysRevA.81.022510
Comment: first realization of twotime KBE approach to inhomogeneous systems in coordinate representation.

D. Hochstuhl, S. Bauch, M. Bonitz
Multiconfigurational timedependent HartreeFock calculations for photoionization of onedimensional Helium
J. Phys. Conf. Series, 220, 012019
doi: 10.1088/17426596/220/1/012019
arXiv:0911.0259

S. Bauch, D. Hochstuhl, K. Balzer, M. Bonitz
Quantum breathing mode of interacting particles in harmonic traps
J. Phys. Conf. Series, 220, 012013
doi: 10.1088/17426596/220/1/012013

K. Balzer, S. Bauch, M. Bonitz
Finite elements and the discrete variable representation in nonequilibrium Green's function
J. Phys. Conf. Series, 220, 012020
arXiv:0911.4348

D. Hochstuhl, K. Balzer, S. Bauch, M. Bonitz
Nonequilibrium Green function approach to photoionization processes in atoms
Proceedings of the international conference Frontiers of Quantum and Mesoscopic Thermodynamics FQMT '08
Physica E, 42, 513519 (2010)
download pdffile
doi: 10.1016/j.physe.2009.06.044
arXiv:0902.0768

K. Balzer, S. Bauch, M. Bonitz
Timedependent secondorder Born calculations for model atoms and molecules in strong laser fields
Phys. Rev. A, 82, 033427 (2010)
doi: 10.1103/PhysRevA.82.033427
arXiv:1008.4621
Fig. 3c of this paper has been selected by Physical Review A for the Kaleidoscope

M. Puig von Friesen, C. Verdozzi, C.O. Almbladh
KadanoffBaym dynamics of Hubbard clusters: Performance of manybody schemes, correlationinduced damping and multiple steady and quasisteady states
Phys. Rev. B, 82, 155108 (2010)
doi: 10.1103/PhysRevB.82.155108

P. Danielewicz, A. Rios, B. Barker
Towards quantum transport for nuclear reactions
Proceedings of the international conference Frontiers of Quantum and Mesoscopic Thermodynamics FQMT '08
Physica E, 42, 501507 (2010)
doi: 10.1016/j.physe.2009.08.014

H. Minari, N. Mori
A computationally costeffective interleaving method for atomistic nonequilibrium Green's function simulation
2008 International Workshop on Scientific Computing in Electronics Engineering (WSCEE 2008)
Mathematical and Computer Modelling, 51, 888892 (2010)
doi: 10.1016/j.mcm.2009.08.035

A. Alvermann, H. Fehske
Nonequilibrium current and electron pumping in nanostructures
J. Phys. Conf. Series, 200, 012005 (2010)
doi: 10.1088/17426596/200/1/012005
2009

M. Puig von Friesen, C. Verdozzi, and C.O. Almbladh,
Successes and Failures of KadanoffBaym Dynamics in Hubbard Nanoclusters
Phys. Rev. Lett. 103 (2009) 176404
doi: 10.1103/PhysRevLett.103.176404

K. Balzer and M. Bonitz,
Nonequilibrium properties of strongly correlated artificial atoms  a Green's functions approach
J. Phys. A 42 (2009) 214020
doi: 10.1088/17518113/42/21/214020
arXiv:0810.2633
download pdffile

K. Balzer, M. Bonitz, R. van Leeuwen, N.E. Dahlen, and A. Stan,
Nonequilibrium Green's functions approach to strongly correlated fewelectron quantum dots
Phys. Rev. B 79 (2009) 245306
doi: 10.1103/PhysRevB.79.245306
arXiv:0810.2425
download pdffile
This paper has been selected for the June 2009 issue of Virtual Journal of Nanoscale Science & Technology,
published by the American Physical Society and the American Institute of Physics.

S. Bauch, K. Balzer, C. Henning, and M. Bonitz,
Quantum breathing mode of trapped bosons and fermions at arbitrary coupling
Phys. Rev. B 80 (2009) 054515
doi: 10.1103/PhysRevB.80.054515
arXiv:0903.1993
download pdffile
This paper has been selected for the September 2009 issue of Virtual Journal of Atomic Quantum Fluids,
published by the American Physical Society and the American Institute of Physics.

M. Garny and M M Müller,
KadanoffBaym equations with nonGaussian initial conditions: The equilibrium limit
Phys. Rev. D 80 (2009), 085011
doi: 10.1103/PhysRevD.80.085011

W. Cassing,
From KadanoffBaym dynamics to offshell parton transport
Eur. Phys. Journal  Special Topics 168 (2009), 387
doi: 10.1140/epjst/e200900959x

S. Borsanyi, U. Reinosa,
Renormalised nonequilibrium quantum field theory: Scalar fields,
doi: Phys.Rev.D80:125029,2009
arXiv:0809.0496

A Stan, N E Dahlen, R van Leeuwen,
Time propagation of the KadanoffBaym equations for inhomogeneous systems
J. Chem. Phys. 130 (2009), 224101
doi: 10.1063/1.3127247

A Stan, N E Dahlen, R van Leeuwen,
Levels of selfconsistency in the GW approximation
J. Chem. Phys. 130 (2009), 114105
doi: 10.1063/1.3089567

P. Myöhänen, A Stan, G. Stefanucci, and R van Leeuwen,
KadanoffBaym approach to quantum transport through interacting nanoscale systems: From the transient to the steadystate regime
Phys. Rev. B 80 (2009), 115107
doi: 10.1103/PhysRevB.80.115107

D.E. Petersen, S. Li, K. Stokbro, H.H.B. Sorensen, P.C. Hansen, S. Skelboe, and E. Darve,
A hybrid method for the parallel computation of Green’s functions,
Journal of Computational Physics 228, 50205039 (2009)
doi: 10.1016/j.jcp.2009.03.035
2008

A. Yu. Zakharov,
Variational Principle for KadanoffBaym Kinetic Equations
Transport Theory and Statistical Physics 37, Issue 57 (2008) 613623
doi: 10.1080/00411450802515726

A. Hohenegger, A. Kartavtsev, M. Lindner,
Deriving Boltzmann Equations from KadanoffBaym Equations in Curved SpaceTime
Phys. Rev. D 78, (2008), 113
doi: 10.1103/PhysRevD.78.085027
arXiv:0807.4551v2

P. Myöhänen, A. Stan, G. Stefanucci and R. van Leeuwen,
A manybody approach to quantum transport dynamics: Initial correlations and memory effects
Europhys. Lett. 84, (2008) 67001
doi: 10.1209/02955075/84/67001

M. Lindner, M. M. Müller,
Comparison of Boltzmann kinetics with quantum dynamics for a chiral Yukawa model far from equilibrium,
Phys. Rev. D 77, 2 (2008) 085027
doi: 10.1103/PhysRevD.77.025027
arXiv:0710.2917
2007

N E Dahlen, and R van Leeuwen,
Solving the KadanoffBaym Equations for Inhomogeneous Systems: Application to Atoms and Molecules
Phys. Rev. Lett. 98, 15 (2007) 153004
doi: 10.1103/PhysRevLett.98.153004

M. Arshad, A. S. Kondratyev, and I. Siddique,
Spectral function and kinetic equation for a normal Fermi liquid
Phys. Rev. B 76, 5 (2007) 054306
doi: 10.1103/PhysRevB.76.054306
arXiv:condmat/0701292v2
2006

P Gartner, J Seebeck and F Jahnke,
Relaxation properties of the quantum kinetics of carrier–LOphonon interaction in
quantum wells and quantum dots
Phys. Rev. B 73 (2006) 115307
doi: 10.1103/PhysRevB.73.115307
arXiv:condmat/0510535v2

Nils Erik Dahlen, Robert van Leeuwen and Adrian Stan,
Propagating the KadanoffBaym equations for atoms and molecules
J. Phys. Conf. Ser. 35 (2006) 340
doi: 10.1088/17426596/35/1/031

M M Müller,
Comparing Boltzmann vs. KadanoffBaym
J. Phys. Conf. Ser. 35 (2006) 390397
doi: 10.1088/17426596/35/1/036

M. Lindner, M. M. Müller,
Comparison of Boltzmann equations with quantum dynamics for scalar fields,
Phys. Rev D 73, 12 (2006) 125002
doi: 10.1103/PhysRevD.73.125002
arXiv:hepph/0512147
2005

NE Dahlen, and R van Leeuwen,
Selfconsistent solution of the Dyson equation for atoms and molecules within a conserving approximation
J. Chem. Phys. 122 (2005) 164102
comments: first twotime solutions of the KBE for atoms
doi: 10.1063/1.1884965

J. Berges,
Introduction to nonequilibrium quantum field theory,
AIP Conf.Proc. 739,1 (2005), 362
doi: 10.1063/1.1843591
arXiv:hepph/0409233
2003

DO Gericke, MS Murillo, D Semkat, M Bonitz, D Kremp,
Relaxation of strongly coupled Coulomb systems after rapid changes of the interaction potential
J. Phys. A 63 (2003)
comments: cooling of manybody system after relaxation from overcorrelated initial state
doi: 10.1088/03054470/36/22/334

D Semkat, M Bonitz, and D Kremp,
Relaxation of a quantum manybody system from a correlated initial state. A general and consistent approach
Contrib. Plasma Phys. 43, 56 (2003) 321325
doi: 10.1002/ctpp.200310037
comments: general nonequilibrium initial state in singletime and twotime kinetic theory
2001

J. Knoll, Yu. B. Ivanov, and D. N. Voskresensky,
Exact Conservation Laws of the Gradient Expanded Kadanoff–Baym Equations
Ann. Phys. (N.Y.) 293 (2001) 126146
doi: 10.1006/aphy.2001.6185
arXiv:nuclth/0102044v1

HS Köhler and K Morawetz,
Correlations in manybody systems with twotime Green’s functions
Phys. Rev. C 64 (2001) 024613
doi: 10.1103/PhysRevC.64.024613
arXiv:nuclth/0102059v2

K Morawetz, M Bonitz, V G Morozov, G Röpke, and D Kremp,
Shorttime dynamics with initial correlations
Phys. Rev. E 62 (2001)
doi: 10.1103/PhysRevE.63.020102
2000

N.H. Kwong, and M. Bonitz,
RealTime KadanoffBaym Approach to Plasma Oscillations in a Correlated Electron Gas
Phys. Rev. Lett. 84 (2000) 17681771
doi: 10.1103/PhysRevLett.84.1768
comments: twotime solutions of the KBE for inhomogenous electron gas. computation of dynamical structure factor with vertex corrections from a nonequilibrium calculation.

D. Semkat, D. Kremp, and M. Bonitz,
Kadanoff–Baym equations and nonMarkovian Boltzmann equation in generalized Tmatrix approximation
J. Math. Phys. 41 (2000) 74587567
doi: 10.1063/1.1286204
comments: twotime solutions of the KBE in Tmatrix approximation with initial correlations
1999

D. Semkat, D. Kremp, and M. Bonitz.
KadanoffBaym equations with initial correlations
Phys. Rev. E 59 (1999), 15571562
doi: 10.1103/PhysRevE.59.1557
comments: twotime solutions of the KBE for with nonequilibrium initial correlations. First
demonstration of correlation (order) induced cooling

M. Bonitz, N. H. Kwong, D. Semkat, D. Kremp,
Generalized KadanoffBaym Theory for NonEquilibrium ManyBody Systems in External Fields.
An Effective MultiBand Approach
Contrib. Plasma Phys. 39 (1999), 3740
doi: 10.1002/ctpp.2150390109
comments: KeldyshKadanoffBaym equations in an external field. Efficient subdivision of hamiltonian

N.H. Kwong, M. Bonitz, R. Binder and H.S. Köhler,
Semiconductor KadanoffBaym Equation Results for Optically Excited ElectronHole Plasmas in Quantum Wells
phys. stat. sol. (b) 206 (1999), 197203
doi: 10.1002/(SICI)15213951(199803)206:1<197::AIDPSSB197>3.0.CO;29
comments: twotime solution of KBE for semiconductor in stron laser field. Test of generalized KadanoffBaym ansatz

H.S. Köhler, N.H. Kwong, and H.A. Yousif,
A Fortran code for solving the KadanoffBaym equations for a homogeneous fermion system
Computer Physics Communications 123 issue 13 (1999), 123142
doi: 10.1016/S00104655(99)00260X
comments: the first publically available code for twotime solution of KBE

M. Bonitz, D. Semkat, H. Haug,
NonLorentzian spectral functions for Coulomb quantum kinetics
Eur. Phys. J. B 9 (1999), 309314
doi: 10.1007/s100510050770
comments: test of GKBA with improved spectral function for case of Coulomb scattering, comparison with
twotime solutions of KBE

P. Gartner, L. Banyai, and H. Haug,
Twotime electronLOphonon quantum kinetics and the generalized KadanoffBaym approximation
Phys. Rev. B 60 (1999), 1423414241
doi: 10.1103/PhysRevB.60.14234
1998

C. Greiner and S. Leupold,
Stochastic interpretation of KadanoffBaym equations and their relation to Langevin processes
Ann. Phys. (N.Y.) 270 (1995) 328390
doi: 10.1006/aphy.1998.5849
1997

P. Bozek,
Particle production in quantum transport theories
Phys. Rev. C 56 (1997) 14521456
doi: 10.1103/PhysRevC.56.1452
comments: twotime solutions of the KBE for nuclear collisions

R. Binder, H.S. Köhler, and M. Bonitz,
Green's function description of momentum orientation relaxation of photoexcited electron plasmas in semiconductors
Phys. Rev. B 55 (1997) 5110
doi: 10.1103/PhysRevB.55.5110
comments: twotime solutions of the KBE for Coulomb scattering in semiconductors, study of ultrafast isotropization of carrier distribution

M. Bonitz, D. Semkat and D. Kremp,
Shorttime Dynamics of Correlated ManyParticle Systems: Molecular Dynamics vs. Quantum Kinetics
Phys. Rev. E 56 (1997) 1246
doi: 10.1103/PhysRevE.56.1246
comments: twotime solutions of the KBE for Coulomb scattering in plasmas, including effect of initial correlations, comparison with kinetic energy relaxation in classical molecular dynamics

M. Bonitz, R. Binder and H.S. Köhler,
Quantum kinetic equations: Correlation dynamics and selfenergy
Contrib. Plasma Phys. 37, 23 (1997) 101113
doi: 10.1002/ctpp.2150370202

H.S. Köhler and R. Binder,
The Interplay of ElectronPhonon and ElectronElectron Scattering within the TwoTime Green's Function Description
Contrib. Plasma Phys. 37 (1997) 167172
doi: 10.1002/ctpp.2150370208
comments: first twotime solutions of the KBE for Coulomb scattering and electronphonon scattering in semiconductors
1996

M. Bonitz, D. Kremp, D.C. Scott, R. Binder, W. D. Kraeft, H. S. Köhler,
Numerical analysis of nonMarkovian effects in chargecarrier scattering: onetime versus twotime kinetic equations
J. Phys.: Cond. Matt. 8 (1996) 6057
doi: 10.1088/09538984/8/33/012
comments: first twotime solutions of the KBE including carriercarrier scattering for semiconductors

W Schäfer,
Influence of electron–electron scattering on femtosecond fourwave mixing in semiconductors
JOSA B 13 (1996) 12911297
doi: 10.1364/JOSAB.13.001291
comments: twotime solutions of the KBE including carriercarrier scattering for semiconductors

H Haug and L Banyai,
Improved spectral functions for quantum kinetics
Sol. State Comm. 100 (1996) 303306
doi: 10.1016/00381098(96)005042
comments: NonLorentzian model for spectral function which is close to solution of twotime KBE for semiconductors with electronphonon scattering
1995

H S Köhler,
Memory and correlation effects in nuclear collisions
Phys. Rev. C 51 (1995) 32323239
doi: 10.1103/PhysRevC.51.3232
comments: twotime solutions of the KBE for nuclear collisions
1992

M Hartmann and W Schäfer,
Real Time Approach to Relaxation and Dephasing Processes in Semiconductors
phys. stat. sol. (b) 173 (1992) 165176
doi: 10.1002/pssb.2221730117
comments: first twotime solutions of the KBE in solid state physics including electronphonon scattering.
1990

A.S. Kondrat'ev, I. E. Lyublinskaya and V. M. Uzdin,
Spectral representation of nonequilibrium Green's functions in the KadanoffBaym technique
Theoretical and Mathematical Physics 84 (1990) 773776
doi: 10.1007/BF01017203
1986

P Lipavsky, V Spicka and B Velicky,
Generalized KadanoffBaym ansatz for deriving quantum transport equations
Phys. Rev. B 34 (1986) 69336942
doi: 10.1103/PhysRevB.34.6933
comments: contains the derivation of the "GKBA" (Lipavsky ansatz)  reconstruction of the twotime
correlation functions fromt the singletime density matrix in nonequilibrium and derives the corrections
to the GKBA.
1984

P. Danielewicz,
Quantum theory of nonequilibrium processes II. Application to nuclear collisions
Ann. Phys. (N.Y.) 152 (1984) 305326
doi: 10.1016/00034916(84)900939
comments: the first full twotime solution of the KBE (homogeneous nuclear matter). Includes treatment of a correlated initial state and comparison with Boltzmann kinetic theory.

P. Danielewicz,
Quantum theory of nonequilibrium processes I.
Ann. Phys. (N.Y.) 152 (1984) 239304
doi: 10.1016/00034916(84)900927
1965

L.V. Keldysh,
Diagram Technique for Nonequilibrium Processes
Soviet Phys. JETP 20 (1965) 1018
original russian paper: Zh. Eksp. Teor. Fiz. 47, 1515 (1964)
comments: the key paper on the extension of Feynman diagrams to arbitrary nonequilibrium systems by
introducing the double time contour
1962

G. Baym,
Selfconsistent approximations in manybody systems
Phys. Rev. 127 (1962) 1391
doi: 10.1103/PhysRev.127.1391
1961

G. Baym, L.P. Kadanoff
CONSERVATION LAWS AND CORRELATION FUNCTIONS
Phys. Rev. 124 (1961) 287
doi: 10.1103/PhysRev.124.287