Generalized time-dependent density-functional-theory response functions for spontaneous density fluctuations and nonlinear response: Resolving the causality paradox in real time

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 2, 2005, Pages

  Mukamel, Shaul ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DESCRIBING FUNCTIONS; MATHEMATICAL OPERATORS; PROBABILITY DENSITY FUNCTION;

LIOUVILLE SPACE PATHWAYS; TIME-DEPENDENT DENSITY-FUNCTIONAL THEORY (TDDFT);

ELECTRONS;

EID: 33344455052     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.024503     Document Type: Article

References (28)

1. E. Runge and E. K. U. Gross, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.997 52, 997 (1984).
2. E. K. U. Gross and W. Kohn, Adv. Quantum Chem. AQCHA9 0065-3276 21, 255 (1990).
3. E. K. U. Gross, J. F. Dobson, and M. Petersilka, Density Functional Theory, edited by, R. F. Nalewajski, (Springer, New York, 1996).
4. M. H. Cohen and A. Wasserman, in "Proceedings of the International School of Physics "Enrico Fermi" Course CLV: The Physics of Complex Systems (New Advances and Perspectives)", eds., F. Mallamace, and, H. E. Stanley, pp. 253-295 (IOS Press, Amsterdam, 2004).
5. Y. Kim and A. Gorling, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.096402 89, 096402 (2002).
6. I. V. Tokatly and O. Pankratov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2078 86, 2078 (2001).
7. F. Furche, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1353585 114, 5982 (2001).
8. R. van Leeuwen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 1280 80, 1280 (1998).
9. R. van Leeuwen, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S021797920100499X 15, 1969 (2001).
10. L. V. Keldysh, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 10.1103/PhysRev.115. 134210.1103/PhysRev.126.329 47, 1515 (1964)
11. [L. V. Keldysh, Sov. Phys. JETP SPHJAR 0038-5646 10.1103/PhysRev.115. 134210.1103/PhysRev.126.329 20, 1018 (1965)].
12. J. Rammer and H. Smith, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.58.323 58, 323 (1986).
13. N. P. Landsman and Ch. G. Weert, Phys. Rep. PRPLCM 0370-1573 145, 143 (1987).
14. R. Bartels, S. Backus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature (London) NATUAS 0028-0836 10.1038/35018029 406, 164 (2000).
15. M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, Nature (London) NATUAS 0028-0836 10.1038/35107000 414, 509 (2001).
16. A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hansch, and F. Krausz, Nature (London) NATUAS 0028-0836 10.1038/nature01483 422, 189 (2003).
17. A. E. Cohen and S. Mukamel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.233202 91, 233202 (2003);
18. U. Harbola and S. Mukamel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052506 70, 052506 (2004).
19. W. Kohn, Y. Meir, and D. E. Makarov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4153 80, 4153 (1998).
20. E. Wang and U. Heinz, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.66. 025008 66, 025008 (2002).
21. S. Mukamel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.021111 68, 021111 (2003).
22. V. Chernyak, N. Wang, and S. Mukamel, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(95)00015-1 263, 213 (1995).
23. K. C. Chou, Z. B. Su, B. I. Hao, and L. Yu, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(85)90136-X 118, 1 (1985).
24. N. P. Landsman and Ch. G. van Weeret, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(87)90121-9 145, 141 (1987).
25. O. Berman and S. Mukamel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042503 67, 042503 (2003).
26. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, Oxford, 1995).
27. S. Mukamel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.021804 61, 021804 (2000).
28. A. R. Bogdan, M. W. Downer, and N. Bloembergen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.24.623 24, 623 (1981).