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On the nonequilibrium diagram technique: derivation, some features and applications


Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

The logic of the nonequilibrium diagram technique (Keldysh diagram technique) appearance is reviewed. Simple examples are used to illustrate the implementation of the technique and to demonstrate possible difficulties and how to overcome them. Together with the well known facts, some lesser-discussed details are considered, in particular, whether the so-called three-component technique is necessary. A number of examples of nonequilibrium diagram technique (NDT) applications are given, including in particular tunneling systems, the linear response and other problems. We hope that some parts of the review will be useful even for those people for whom nonequilibrium diagram technique is well familiar.

Fulltext pdf (1.1 MB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201512b.1271
Keywords: diagram technique, nonequilibrium diagram technique, Keldysh diagram technique, nonequilibrium processes, quantum kinetics
PACS: 03.70.+k, 05.60.Gg, 11.10.Wx, 72.10.Bg (all)
DOI: 10.3367/UFNe.0185.201512b.1271
URL: https://ufn.ru/en/articles/2015/12/b/
000371914300002
2-s2.0-84962798469
2015PhyU...58.1159A
Citation: Arseev P I "On the nonequilibrium diagram technique: derivation, some features and applications" Phys. Usp. 58 1159–1205 (2015)
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Received: 4th, August 2015, revised: 11th, October 2015, 12th, October 2015

Оригинал: Арсеев П И «О диаграммной технике для неравновесных систем: вывод, некоторые особенности и некоторые применения» УФН 185 1271–1321 (2015); DOI: 10.3367/UFNr.0185.201512b.1271

References (114) Cited by (65) Similar articles (20) ↓

  1. P.I. Arseev, N.S. Maslova “Electron — vibration interaction in tunneling processes through single molecules” Phys. Usp. 53 1151–1169 (2010)
  2. V.V. Val’kov, M.S. Shustin et al “Topological superconductivity and Majorana states in low-dimensional systems” Phys. Usp. 65 2–39 (2022)
  3. D.A. Trunin “Pedagogical introduction to the Sachdev—Ye—Kitaev model and two-dimensional dilaton gravity” Phys. Usp. 64 219–252 (2021)
  4. G.B. Lesovik, I.A. Sadovskyy “Scattering matrix approach to the description of quantum electron transport” Phys. Usp. 54 1007–1059 (2011)
  5. T. Konstandin “Quantum transport and electroweak baryogenesis” Phys. Usp. 56 747–771 (2013)
  6. M.Yu. Kagan, V.A. Mitskan, M.M. Korovushkin “Anomalous superconductivity and superfluidity in repulsive fermion systems” Phys. Usp. 58 733–761 (2015)
  7. Yu.A. Izyumov “Hubbard model of strong correlations” Phys. Usp. 38 385–408 (1995)
  8. M.Yu. Kagan, A.V. Turlapov “BCS—BEC crossover, collective excitations, and hydrodynamics of superfluid quantum fluids and gases” Phys. Usp. 62 215–248 (2019)
  9. Yu.S. Orlov, S.V. Nikolaev et al “Features of spin crossovers in magnetic materials” Phys. Usp. 66 647–672 (2023)
  10. D.N. Zubarev “Double-time Green functions in statistical physics” Sov. Phys. Usp. 3 320–345 (1960)
  11. A.V. Nikolaev, A.V. Tsvyashchenko “The puzzle of the γ→α and other phase transitions in cerium” Phys. Usp. 55 657–680 (2012)
  12. M.V. Sadovskii “High-temperature superconductivity in iron-based layered compounds” Phys. Usp. 51 1201–1227 (2008)
  13. Ya.S. Lyakhova, G.V. Astretsov, A.N. Rubtsov “Mean-field concept and post-DMFT methods in the modern theory of correlated systems” Phys. Usp. 66 775–793 (2023)
  14. A.G. Semenov, A.D. Zaikin “Superconducting quantum fluctuations in one dimension” Phys. Usp. 65 883–919 (2022)
  15. A.A. Migdal “Stochastic quantization of field theory” Sov. Phys. Usp. 29 389–411 (1986)
  16. V.L. Broude, A.F. Prikhot’ko, E.I. Rashba “Some problems of crystal luminescence” Sov. Phys. Usp. 2 38–49 (1959)
  17. M.V. Davidovich “Hyperbolic metamaterials: production, properties, applications, and prospects” Phys. Usp. 62 1173–1207 (2019)
  18. B.L. Ioffe “Chiral effective theory of strong interactions” Phys. Usp. 44 1211–1227 (2001)
  19. S.S. Murzin “Electron transport in the extreme quantum limit in applied magnetic field” Phys. Usp. 43 349–364 (2000)
  20. A.S. Mel’nikov, S.V. Mironov et al “Superconducting spintronics: state of the art and prospects” Phys. Usp. 65 1248–1289 (2022)

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