Time propagation of the Kadanoff-Baym equations for inhomogeneous systems

Journal of Chemical Physics

Volumn 130, Issue 22, 2009, Pages

  Stan, Adrian ^a,b,c   Dahlen, Nils Erik ^b   Van Leeuwen, Robert ^a,c  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

^c European Theoretical Spectroscopy Facility (ETSF)   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

CONSERVATION LAW; EXTERNAL FIELDS; GW APPROXIMATION; INHOMOGENEOUS SYSTEM; MANY-BODY INTERACTIONS; MANY-BODY SYSTEMS; NON-EQUILIBRIUM GREEN FUNCTIONS; SELF ENERGY; TIME EVOLUTIONS; TIME PROPAGATION; TIME-DEPENDENT; TIME-DEPENDENT HARTREE-FOCK;

EID: 67549099362     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3127247     Document Type: Article

References (29)

1. Introducing Molecular Electronics, Lecture Notes in Physics, Vol. 680, edited by, G. Cuniberti, G. Fagas, and, K. Richter, (Springer, New York, 2005).
2. T. Hayashi, T. Fujisawa, H. D. Cheong, Y. H. Jeong, and Y. Hirayama, Phys. Rev. Lett. 0031-9007 91, 226804 (2003). 10.1103/PhysRevLett.91.226804
3. J. M. Elzerman, R. Hanson, L. H. W. van Beveren, B. Witkamp, L. M. K. Vandersypen, and L. P. Kouwenhoven, Nature (London) 0028-0836 430, 431 (2004). 10.1038/nature02693
4. Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures, edited by, J. Shah, (Springer, Berlin, 1999).
5. M. Merano, S. Sonderegger, A. Crottini, S. Collin, P. Renucci, E. Pelucchi, A. Malko, M. H. Baier, E. Kapon, B. Deveaud, and J. -D. Ganíre, Nature (London) 0028-0836 438, 479 (2005). 10.1038/nature04298
6. G. Baym, Phys. Rev. 127, 1391 (1962). 10.1103/PhysRev.127.1391
7. N. E. Dahlen and R. van Leeuwen, Phys. Rev. Lett. 0031-9007 98, 153004 (2007). 10.1103/PhysRevLett.98.153004
8. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
9. P. Danielewicz, Ann. Phys. (N.Y.) 0003-4916 152, 239 (1984). 10.1016/0003-4916(84)90092-7
10. N. -H. Kwong and M. Bonitz, Phys. Rev. Lett. 0031-9007 84, 1768 (2000). 10.1103/PhysRevLett.84.1768
11. P. Myöhanen, A. Stan, G. Stefanucci, and R. van Leeuwen, Europhys. Lett. 0295-5075 84, 67001 (2008). 10.1209/0295-5075/84/67001
12. W. Schäfer, J. Opt. Soc. Am. B 0740-3224 13, 1291 (1996). 10.1364/JOSAB.13.001291
13. M. Bonitz, D. Kremp, D. C. Scott, R. Binder, W. Kraeft, and H. S. Köhler, J. Phys.: Condens. Matter 0953-8984 8, 6057 (1996). 10.1088/0953-8984/8/33/012
14. R. Binder, H. S. Köhler, M. Bonitz, and N. Kwong, Phys. Rev. B 0163-1829 55, 5110 (1997). 10.1103/PhysRevB.55.5110
15. N. E. Dahlen and R. van Leeuwen, J. Chem. Phys. 0021-9606 122, 164102 (2005). 10.1063/1.1884965
16. A. Stan, N. E. Dahlen, and R. van Leeuwen, J. Chem. Phys. 0021-9606 130, 114105 (2009). 10.1063/1.3089567
17. H. S. Köhler, N. H. Kwong, and H. A. Yousif, Comput. Phys. Commun. 0010-4655 123, 123 (1999). 10.1016/S0010-4655(99)00260-X
18. M. Bonitz and D. Semkat, in Introduction to Computational Methods in Many-Body Physics, edited by, M. Bonitz, and, D. Semkat, (Rinton Press, Princeton, 2006), p. 171.
19. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
20. R. van Leeuwen, N. E. Dahlen, G. Stefanucci, C. -O. Almbladh, and U. von Barth, in Time-dependent Density Functional Theory, edited by, M. A. L. Merques, C. A. Ullrich, F. Nogueira, A. Rubio, K. Burke, and, E. K. U. Gross, (Springer, Berlin, 2006), p. 33.
21. L. V. Keldysh, Zh. Eksp. Teor. Fiz. 0044-4510 47, 1515 (1964) [Sov. Phys. JETP 20, 1018 (1965)].
22. G. Stefanucci and C. -O. Almbladh, Phys. Rev. B 0163-1829 69, 195318 (2004). 10.1103/PhysRevB.69.195318
23. M. Wagner, Phys. Rev. B 0163-1829 44, 6104 (1991). 10.1103/PhysRevB.44. 6104
24. N. E. Dahlen, A. Stan, and R. van Leeuwen, J. Phys. Conf. Ser. 35, 324 (2006). 10.1088/1742-6596/35/1/030
25. N. E. Dahlen, R. van Leeuwen, and A. Stan, J. Phys. Conf. Ser. 35, 340 (2006). 10.1088/1742-6596/35/1/031
26. L. Hedin, Phys. Rev. 0096-8250 139, A796 (1965). 10.1103/PhysRev.139.A796
27. G. Baym and L. P. Kadanoff, Phys. Rev. 124, 287 (1961). 10.1103/PhysRev.124.287
28. J. R. Schrieffer, Theory of Superconductivity (Addison-Wesley, Reading, 1988).
29. Y. Nambu, Phys. Rev. 117, 648 (1960). 10.1103/PhysRev.117.648