Nonequilibrium many-body theory of quantum systems: A modern introduction

Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction

Volumn , Issue , 2013, Pages 1-600

  Stefanucci, Gianluca ^a   Van Leeuwen, Robert ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EXCITED STATES; QUANTUM OPTICS;

GREENS FUNCTION; GREENS' FUNCTION METHOD; MANY-BODY THEORY; NON EQUILIBRIUM; NON-EQUILIBRIUM GREEN'S FUNCTION FORMALISM; PHYSICAL SYSTEMS; QUANTUM SYSTEM; RESEARCH FIELDS; TIME DEPENDENT; UNIFIED FRAMEWORK;

STUDENTS;

EID: 84928081186     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9781139023979     Document Type: Book

References (180)

1. P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford University Press, Oxford, 1999).
2. J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading MA, 1994).
3. A. Bohm, Quantum Mechanics: Foundations and Applications (Springer, Berlin, 1994).
4. R. McWeeny, Rev. Mod. Phys 32, 335 (1960).
5. R. Pariser and R. G. Parr, J. Chem. Phys 21, 466 (1953).
6. J. A. Pople, Trans. Faraday Soc 42, 1375 (1953).
7. J. Linderberg and Y. Ohrn, Propagators in Quantum Chemistry(Wiley, New York, 2000).
8. P. Atkins, Physical Chemistry(W. H. Freeman, New York, 1998).
9. K. S. Novoselov et al., Science 306, 666 (2004).
10. A. H. C. Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys 81, 109 (2009).
11. A. Mielke, J. Phys. A 24, L73 (1991).
12. H. Tasaki, Phys. Rev. Lett 69, 1608 (1992).
13. A. Mielke and H. Tasaki, Commun. Math. Phys 158, 341 (1993).
14. U. Fano, Phys. Rev 124, 1866 (1961).
15. J. Hubbard, Proc. Roy. Soc. A 276, 238 (1963).
16. H. Tasaki, J. Phys.: Condens. Matter 10, 4353 (1998).
17. The Hubbard Model: Its Physics and Mathematical Physics, edited by D. Baeriswyl, D. K. Campbell, J. M. P Carmelo, F. Guinea, and E. Louis, NATO ASI Series, Series B: Physics vol. 343 (1995).
18. The Hubbard Model: A reprint volume, edited by A. Montorsi(World Scientific Publ. Co., Singapore, 1992).
19. P. W. Anderson, Phys. Rev 115, 2 (1959).
20. J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev 106, 162 (1957).
21. D. C. Ralph, C. T. Black, and M. Tinkham, Phys. Rev. Lett 76, 688 (1996).
22. R. W. Richardson, Phys. Lett 3, 277 (1963).
23. L. N. Cooper, Phys. Rev 104, 1189 (1956).
24. H. Frolich, Advances in Physics 3, 325 (1954).
25. R. P. Feynman, Phys. Rev 97, 660 (1955).
26. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. B 22, 2099 (1980).
27. T. Holstein, Annals of Physics 8, 325 (1959).
28. P. A. M. Dirac, Proc. Roy. Soc. Lond. A 117, 610 (1928).
29. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, Singapore, 1980).
30. L. H. Ryder, Quantum Field Theory (Cambridge University Press, Cambridge, 1985).
31. F. Mandl and G. Shaw, Quantum Field Theory (J. Wiley & Sons, New York, 1984).
32. S. Weinberg, The Quantum Theory of Fields N, Volume I: Foundations (Cambridge University Press, Cambridge, 1995).
33. P. Ramond, Field Theory: A Modern Primer (Benjamin/Cummings, Inc., London, 1981).
34. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, USA, 1995).
35. R. E. Peierls, Quantum Theory of Solids (Clarendon, Oxford, 1955).
36. I. G. Lang and Y. A. Firsov, Zh Eksp. Teor. Fiz 43, 1843 (1962), [Sov. Phys. JETP 16, 1301 (1962)].
37. L. V. Keldysh, Sov. Phys. JETP 20, 1018 (1965).
38. J. Schwinger, J. Math. Phys 2, 407 (1961).
39. L. V. Keldysh, Progress in Nonequilibrium Green's Functions II, editors M. Bonitz and D. Semkat (World Scientific, London, 2003).
40. O. V. Konstantinov and V. I. PereL', Sov. Phys. JETP 12, 142 (1961).
41. P. Danielewicz, Ann. Physics 152, 239 (1984).
42. M. Wagner, Phys. Rev. B 44, 6104 (1991).
43. P. Gaspard and M. Nagaoka, J. Chem. Phys 111, 5676 (1999).
44. M. Gell-Mann and F. Low, Phys. Rev 84, 350 (1951).
45. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
46. H. Bruus and K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics: An Intro-duction (Oxford University Press, Oxford, 2004).
47. P. C. Martin and J. Schwinger, Phys. Rev 115, 1342 (1959).
48. R. Kubo, J. Phys. Soc. Jpn 12, 570 (1957).
49. R. Haag, N. M. Hugenholtz, and M. Winnink, Comm. Math. Phys 5, 215 (1967).
50. G. C. Wick, Phys. Rev 80, 268 (1950).
51. D. Kaiser, Phil. Mag 43, 153 (1952).
52. J. Olsen, P. Jorgensen, T. Helgaker, and O. Christiansen, J. Chem. Phys II2, 9736 (2000).
53. D. C. Langreth, in Linear and Nonlinear Electron Transport in Solids, edited by J. T. Devreese and E. Van Doren (Plenum, New York, 1976), pp. 3-32.
54. G. Stefanucciand C.-O. Almbladh, Phys. Rev. B 69, 195318 (2004).
55. G. Stefanucci, Phys. Rev. B 75, 195115 (2007).
56. M. Knap, E. Arrigoni, and W. Von der Linden, Phys. Rev. B 81, 024301 (2010).
57. S. Ejima, H. Fehske, and F. Gebhard, Europhys. Lett 93, 30002 (2011).
58. W. Schattke, M. A. Van Hove, F. J. Garcia de Abajo, R. Diez Muino, and N. Mannella, Solid-State Photoemission and Related Methods: Theory and Experiment, edited by Wolfgang Schattke and Michel A. Van Hove (Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, 2003).
59. P. Nozieres and C. T. De Dominicis, Phys. Rev 178, 1097 (1969).
60. K. S. Thygesen and A. Rubio, Phys. Rev. Lett 102, 046802 (2009).
61. J. B. Neaton, M. S. Hybertsen, and S. G. Louie, Phys. Rev. Lett 97, 216405 (2006).
62. P. Myohanen, R. Tuovinen, T. Korhonen, G. Stefanucci, and R. Van Leeuwen, Phys. Rev. B 85, 075105 (2012).
63. D. R. Hartree, Proc. Cambridge Phil. Soc 24, 89 (1928).
64. E. P. Gross, Il Nuovo Cimento 20, 454 (1961).
65. L. P. Pitaevskii, JETP 13, 451 (1961).
66. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys 71, 463 (1999).
67. G. F. Giulianiand G. Vignale, Quantum Theory of the Electron Liquid(Cambridge University, Canbridge, 2005).
68. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics(W. A. Benjamin, Inc. New York, 1962).
69. M. A. Reed, C. Zhou, C. J. Muller, T. P. Burgin, and J. M. Tour, Science 278, 252 (1997).
70. A. I. Yanson, G. R. Bollinger, H. E. Van den Brom, N. Agrait, and J. M. Van Ruitenbeek, Nature 395, 783 (1998).
71. N. Bushong, N. Sai, and M. DiVentra, Nano Lett 5, 2569 (2005).
72. R. Rajaraman, Solitons and Instantons(North-Holland Publishing Company, Amsterdam, 1982).
73. J. C. Slater, Phys. Rev 35, 210 (1930).
74. V. Fock, Z Physik 61, 126 (1930).
75. G. D. Mahan, Many-Particle Physics, 2nd ed. (Plenum Press, New York, 1990).
76. E. Lipparini, Modern Many-Particle Physics: Atomic Gases, Quantum Dots and Quantum Fluids(World Scientific, London, 2003).
77. G. Baym and L. P. Kadanoff, Phys. Rev 124, 287 (1961)
78. G. Baym, Phys. Rev 171, 1391 (1962).
79. L. Hedin, Phys. Rev 139, A796 (1965).
80. F. Aryasetiawan and O. Gunnarsson, Rep. Prog. Phys 61, 237 (1998).
81. J. M. Luttinger and J. C. Ward, Phys. Rev 118, 1417 (1960).
82. N. E. Dahlen, R. Van Leeuwen, and U. Von Barth, Phys. Rev. A 73, 012511 (2006).
83. N. E. Dahlen and U. Von Barth, Phys. Rev B 69, 195102 (2004); J. Chem. Phys 120, 6826 (2004).
84. U. Von Barth, N. E. Dahlen, R. Van Leeuwen, and G. Stefanucci, Phys. Rev. B 72, 235109 (2005).
85. A. Klein, Phys. Rev 121, 950 (1961).
86. C.-O. Almbladh, U. Von Barth, and R. Van Leeuwen, Int. J. Mod. Phys. B 13, 535 (1999).
87. C. T. De Dominicis, J. Math. Phys 4, 255 (1963).
88. C. T. De Dominicis and P. C. Martin, J. Math. Phys 5, 14 (1964); J. Math. Phys 5, 31 (1964).
89. M. Hindgren, Model Vertices Beyond the GW Approximation, PhD thesis, University of Lund, Lund, Sweden (1997). ISBN: 91-628-2555-0. ISRN: LUNFD6/(NTFTF-1034)/1-33/(1997).
90. A. C. Phillips, Phys. Rev 142, 984 (1966).
91. M. Cini, E. Perfetto, G. Stefanucci, and S. Ugenti, Phys. Rev. B 76, 205412 (2007).
92. L. D. Faddeev, IETP 12, 1014 (1961).
93. G. Grosso and G. Pastori Parravicini, Solid State Physics (Academic Press, London, 2000).
94. W. Hanke and L. J. Sham, Phys. Rev. Lett 33, 582 (1974); Phys. Rev B 12, 4501 (1975); Phys Rev B 21, 4656 (1980).
95. G. Onida, L. Reining, and A. Rubio, Rev. Mod. Phys 74, 601 (2002).
96. D. Sangalli, P. Romaniello, G. Onida, and A. Marini, J. Chem. Phys 134, 034115 (2011).
97. N.-H. Kwong and M. Bonitz, Phys. Rev. Lett 84, 1768 (2000).
98. N. E. Dahlen and R. Van Leeuwen, Phys. Rev. Lett 98, 153004 (2007).
99. N. Sakkinen, M. Manninen, and R. Van Leeuwen, New J. Phys 14, 013032 (2012).
100. A. Schindlmayr and R. W. Godby, Phys. Rev. Lett 80, 1702 (1998).
101. J. M. Luttinger, Phys. Rev 121, 942 (1961).
102. T. Giamarchi, Quantum Physics in One Dimension (Clarendon, Oxford, 2004).
103. M. Puig von Friesen, C. Verdozzi, and C.-O. Almbladh, Phys. Rev. Lett 103, 176404 (2009); Phys. Rev B 82, 155108 (2010).
104. M. Gell-Mann and K. Brueckner, Phys. Rev 106, 364 (1957).
105. T. Endo, M. Horiuchi, Y. Takada, and H. Yasuhara, Phys. Rev. B 59, 7367 (1999).
106. J. Sun, J. P. Perdew, and M. Seidl, Phys. Rev. B 81, 085123 (2010).
107. D. M. Ceperly and B. J. Alder, Phys. Rev. Lett 45, 566 (1980).
108. W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, Rev. Mod. Phys 73, 33 (2001).
109. K. Binder and D. W. Heermann, Monte Carlo Simulations in Statistical Physics: An Introduction (Springer-Verlag, Berlin/Heidelberg, 2010).
110. B. Holm and U. Von Barth, Phys. Rev. B 57, 2108 (1998).
111. G. D. Mahan and B. E. Sernelius, Phys. Rev. Lett 62, 2718 (1989).
112. S. Hong and G. D. Mahan, Phys. Rev. B 50, 8182 (1994).
113. P. A. Bobbert and W. Van Haeringen, Phys. Rev. B 49, 10326 (1994).
114. R. Del Sole, L. Reining, and R. W. Godby, Phys. Rev. B 49, 8024 (1994).
115. M. Holzmann et al, Phys. Rev. Lett 107, 110402 (2011).
116. D. J. Thouless, Ann. Phys 10, 553 (1960).
117. S. Schmitt-Rink, C. M. Varma, and A. E. Ruckenstein, Phys. Rev. Lett 63, 445 (1989).
118. L. P. Kadanoff and P. C. Martin, Phys. Rev 124, 670 (1961).
119. A.-M. Uimonen et al., Phys. Rev. B 84, 115103 (2011).
120. C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics (Wiley, New York, 1977).
121. P. A. M. Dirac, Proc. Roy. Soc. Lond. A 114, 243 (1927).
122. E. Fermi, Nuclear Physics (University of Chicago, Chicago IL, 1950).
123. T. D. Visser, Am. J. Phys 77, 487 (2009).
124. G. Strinati, Riv. Nuovo Cim 11, 1 (1986).
125. G. D. Mahan, Phys. Rev. B 2, 4334 (1970).
126. W. L. Schaich and N. W. Ashcroft, Phys. Rev. B 3, 2452 (1970).
127. C. Caroli, D. Lederer-Rozenblatt, B. Roulet, and D. Saint-James, Phys. Rev. B 8, 4552 (1973).
128. W. Thomas, Naturwissenschaften I3, 627 (1925).
129. W. Kuhn, Z Phys 33, 408 (1925).
130. F. Reiche and W. Thomas, Z Phys 34, 510 (1925).
131. J. C. Ward, Phys. Rev 79, 182 (1950).
132. Y. Takahashi, Nuovo Cim 6, 371 (1957).
133. P. Nozieres, Theory of Interacting Fermi Systems (Benjamin, New York, NY, 1964).
134. M. Hellgren and U. Von Barth, J. Chem. Phys 131, 044110 (2009).
135. J. Lindhard, Det Kgl. Danske Vid. Selskab, Matematisk-fysiske Meddelelser 28 (1954).
136. D. Bohm and D. Pines, Phys. Rev 92, 609 (1953)
137. L. H. Thomas, Proc. Cambridge Phil. Soc 23, 542 (1927).
138. E. Fermi, Rend. Accad. Naz. Lincei 6, 602 (1927).
139. G. S. Canright, Phys. Rev. B 38, 1647 (1988).
140. J. S. Langer and S. H. Vosko, J. Phys. Chem. Solids 12, 196 (1960).
141. J. Friedel, American Scientist 93, 156 (2005).
142. F. Aryasetiawan, L. Hedin, and K. Karlsson, Phys. Rev. Lett 77, 2268 (1996).
143. L. Hedin, Phys. Rev 139, A796 (1963).
144. L. Landau, Soviet Physics JETP 3, 920 (1957); Soviet Physics JETP 5, 101 (1957); Soviet Physics JETP 8, 70 (1959).
145. B. I. Lundqvist, Phys. Kondens. Materie 6, 193 (1967); Phys. Kondens. Materie 6, 206 (1967); Phys. Kondens. Materie 7, 117 (1968).
146. B. I. Lundqvist and V. Samathiyakanit, Phys. Kondens. Materie 9, 231 (1969).
147. A. Stan, N. E. Dahlen, and R. Van Leeuwen, J. Chem. Phys I30, 224101 (2009).
148. Y. Meir and N. S. Wingreen, Phys. Rev. Lett 68, 2512 (1992).
149. A.-P. Jauho, N. S. Wingreen, and Y. Meir, Phys. Rev. B 50, 5528 (1994).
150. E. Khosravi, G. Stefanucci, S. Kurth, and E. K. U. Gross, App. Phys A 93 355 (2008); Phys. Chem. Chem. Phys II, 4535 (2009).
151. E. Khosravi et al., Phys. Rev. B 85, 075103 (2012).
152. M. Cini, Phys. Rev. B 22, 5887 (1980).
153. E. Perfetto, G. Stefanucci, and M. Cini, Phys. Rev. B 78, 155301 (2008).
154. J. A. Gupta, D. D. Awschalom, X. Peng, and A. P. Alivisatos, Phys. Rev. B 59, R10421 (1999).
155. A. Greilich et al, Phys. Rev. Lett 96, 227401 (2006).
156. F. M. Souza, Phys. Rev. B 76, 205315 (2007).
157. R. Landauer, IBM J. Res. Dev I, 233 (1957).
158. M. Buttiker, Phys. Rev. Lett 57, 1761 (1989).
159. E. Perfetto, G. Stefanucci, and M. Cini, Phys. Rev. Lett 105, 156802 (2010).
160. M. A. Cazalilla, Phys. Rev. Lett 97, 076401 (2006).
161. E. Perfetto, Phys. Rev. B 74, 205123 (2006).
162. B. Dora, M. Haque, and G. Zarand, Phys. Rev. Lett 106, 156406 (2011).
163. E. Perfetto and G. Stefanucci, Europhys. Lett 95, 10006 (2011).
164. M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. Rigol, Rev. Mod. Phys 83, 1405 (2011).
165. P. Myohanen, A. Stan, G. Stefanucci, and R. Van Leeuwen, Europhys. Lett 84, 67001 (2008).
166. K. S. Thygesen and A. Rubio, Phys. Rev. B 77, 115333 (2008).
167. K. S. Thygesen, Phys. Rev. Lett 100, 166804 (2008).
168. T. J. Park and J. C. Light, J. Chem. Phys 85, 5870 (1986).
169. H. Q. Lin and J. E. Gubernatis, Comput. Phys 7, 400 (1993).
170. R. Van Leeuwen and G. Stefanucci, Phys. Rev. B 85, 115119 (2012).
171. M. Born and H. S. Green, Proc. Roy. Soc. Lond. A 191, 168 (1947).
172. N. N. Bogoliubov, The Dynamical Theory in Statistical Physics (Hindustan Pub. Corp., Delhi, 1965).
173. J. Kirkwood, J. Chem. Phys 14, 180 (1946).
174. J. Yvon, Nucl. Phys 4, 1 (1957).
175. A. Akbari, M. J. Hashemi, R. M. Nieminen, R. Van Leeuwen, and A. Rubio, Phys. Rev. B 85, 235121 (2012).
176. N. E. Dahlen and R. Van Leeuwen, J. Chem. Phys 122, 164102 (2005).
177. L. Hedin and S. Lundqvist, Effects of Electron-Electron and Electron-Phonon Interactions on the One-Electron States of Solids, Solid State Phys 23, 1 (1970).
178. D. Pines, Elementary Excitations in Solids, (Benjamin, New York, NY, 1964).
179. E. K. U. Gross, E. Runge and O. Heinonen, Many-Particle Theory (Adam Hilger, Bristol, 1991).
180. P. Myohanen, A. Stan, G. Stefanucci, and R. Van Leeuwen, Phys. Rev. B 80, 115107 (2009).