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Reviews of topical problems


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

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

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