Multitime response functions and nonlinear spectra for model quantum dissipative systems

Journal of Chemical Physics

Volumn 132, Issue 13, 2010, Pages

  Sahrapour, Mohammad M ^a   Makri, Nancy ^a,b  

^a University of Illinois at Urbana Champaign   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONICITIES; CORRELATION FUNCTION; DISSIPATIVE SYSTEMS; EIGENVALUE SPECTRA; HIGH TEMPERATURE; ITERATIVE EVALUATION; NONLINEAR SPECTRUM; ONE-DIMENSIONAL SYSTEMS; PATH INTEGRAL; POTENTIAL FEATURES; RAMAN EXPERIMENTS; RESPONSE FUNCTIONS; THERMAL EXCITATION; THIRD ORDER; TIME CORRELATION FUNCTIONS; TIME-SCALES;

EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; HARMONIC ANALYSIS; REAL TIME SYSTEMS;

HARMONIC FUNCTIONS;

EID: 78649798801     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3336463     Document Type: Article

References (56)

1. S. Mukamel, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 41, 647 (1990). 10.1146/annurev.pc.41.100190.003243
2. J. T. Fourkas, Advances in Chemical Physics (Wiley, New York, 2001), Vol. 117, p. 235. 10.1002/9780470141779.ch3
3. J. T. Fourkas, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 53, 17 (2002). 10.1146/annurev.physchem.53.082001.144216
4. O. Golonzka, M. Khalil, N. Demirdoven, and A. Tokmakoff, ACS Symp. Ser. ACSMC8 0097-6156 820, 169 (2002). 10.1021/bk-2002-0820.ch013
5. M. D. Fayer, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 60, 21 (2009). 10.1146/annurev-physchem-073108-112712
6. R. M. Hochstrasser, Adv. Chem. Phys. ADCPAA 0065-2385 132, 1 (2006).
7. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
8. Y. Tanimura and S. Mukamel, J. Chem. Phys. JCPSA6 0021-9606 99, 9496 (1993). 10.1063/1.465484
9. J. Wu, J. Chem. Phys. JCPSA6 0021-9606 115, 5381 (2001). 10.1063/1.1389840
10. M. Kryvohuz and J. Cao, J. Chem. Phys. JCPSA6 0021-9606 122, 024109 (2005). 10.1063/1.1827212
11. R. Akiyama and R. F. Loring, J. Chem. Phys. JCPSA6 0021-9606 116, 4655 (2002). 10.1063/1.1448495
12. R. Akiyama and R. F. Loring, J. Phys. Chem. JPCHAX 0022-3654 107, 8024 (2003). 10.1021/jp026103g
13. W. G. Noid, G. S. Ezra, and G. F. Loring, J. Chem. Phys. JCPSA6 0021-9606 119, 1003 (2003). 10.1063/1.1577319
14. W. G. Noid, G. S. Ezra, and G. F. Loring, J. Chem. Phys. JCPSA6 0021-9606 120, 1491 (2004). 10.1063/1.1633550
15. S. M. Gruenbaum and R. F. Loring, J. Chem. Phys. JCPSA6 0021-9606 129, 124510 (2008). 10.1063/1.2978167
16. Y. Tanimura and Y. Maruyama, J. Chem. Phys. JCPSA6 0021-9606 107, 1779 (1997). 10.1063/1.474531
17. T. Steffen and Y. Tanimura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 69, 3115 (2000). 10.1143/JPSJ.69.3115
18. O. Kühn and Y. Tanimura, J. Chem. Phys. JCPSA6 0021-9606 119, 2155 (2003). 10.1063/1.1582841
19. T. Kato and Y. Tanimura, J. Chem. Phys. JCPSA6 0021-9606 120, 260 (2004). 10.1063/1.1629272
20. A. Ishizaki and Y. Tanimura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 74, 3131 (2005). 10.1143/JPSJ.74.3131
21. A. Ishizaki and Y. Tanimura, J. Chem. Phys. JCPSA6 0021-9606 125, 084501 (2006). 10.1063/1.2244558
22. N. Makri and D. E. Makarov, J. Chem. Phys. JCPSA6 0021-9606 102, 4600 (1995). 10.1063/1.469508
23. N. Makri and D. E. Makarov, J. Chem. Phys. JCPSA6 0021-9606 102, 4611 (1995). 10.1063/1.469509
24. N. Makri, J. Math. Phys. JMAPAQ 0022-2488 36, 2430 (1995). 10.1063/1.531046
25. E. Sim and N. Makri, Comput. Phys. Commun. CPHCBZ 0010-4655 99, 335 (1997). 10.1016/S0010-4655(96)00130-0
26. N. Makri, J. Chem. Phys. JCPSA6 0021-9606 111, 6164 (1999). 10.1063/1.479919
27. J. Shao and N. Makri, Chem. Phys. CMPHC2 0301-0104 268, 1 (2001). 10.1016/S0301-0104(01)00286-5
28. J. Shao and N. Makri, J. Chem. Phys. JCPSA6 0021-9606 116, 507 (2002). 10.1063/1.1423936
29. N. Makri, Chem. Phys. Lett. CHPLBC 0009-2614 193, 435 (1992). 10.1016/0009-2614(92)85654-S
30. M. Topaler and N. Makri, Chem. Phys. Lett. CHPLBC 0009-2614 210, 448 (1993). 10.1016/0009-2614(93)87052-5
31. D. E. Makarov and N. Makri, Chem. Phys. Lett. CHPLBC 0009-2614 221, 482 (1994). 10.1016/0009-2614(94)00275-4
32. N. Makri and W. H. Miller, J. Chem. Phys. JCPSA6 0021-9606 89, 2170 (1988). 10.1063/1.455061
33. J. Echave and D. C. Clary, J. Chem. Phys. JCPSA6 0021-9606 190, 225 (1992).
34. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
35. R. P. Feynman and J. F. L. Vernon, Ann. Phys. ANPYA2 0003-3804 24, 118 (1963). 10.1016/0003-4916(63)90068-X
36. J. D. Doll and D. L. Freeman, Adv. Chem. Phys. ADCPAA 0065-2385 73, 289 (1988). 10.1002/9780470141229.ch7
37. N. Makri, Comput. Phys. Commun. CPHCBZ 0010-4655 63, 389 (1991). 10.1016/0010-4655(91)90265-M
38. N. Makri, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 50, 167 (1999). 10.1146/annurev.physchem.50.1.167
39. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and M. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 59, 1 (1987). 10.1103/RevModPhys.59.1
40. J. N. Onuchic and P. G. Wolynes, J. Phys. Chem. JPCHAX 0022-3654 92, 6495 (1988). 10.1021/j100334a007
41. R. A. Marcus, Angew. Chem., Int. Ed. Engl. ACIEAY 0570-0833 32, 1111 (1993). 10.1002/anie.199311113
42. N. Makri, J. Phys. Chem. JPCHAX 0022-3654 103, 2823 (1999). 10.1021/jp9847540
43. R. Zwanzig, J. Stat. Phys. JSTPBS 0022-4715 9, 215 (1973). 10.1007/BF01008729
44. A. O. Caldeira, A. H. Castro Neto, and T. Oliveira de Carvalho, Phys. Rev. B PRBMDO 0163-1829 48, 13974 (1993). 10.1103/PhysRevB.48.13974
45. Y. Tanimura, AIP Conf. Proc. APCPCS 0094-243X 503, 144 (2000). 10.1063/1.1302858
46. T. Steffen and Y. Tanimura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 76, 078001 (2007). 10.1143/JPSJ.76.078001
47. M. Kryvohuz and J. Cao, Phys. Rev. Lett. PRLTAO 0031-9007 96, 030403 (2006). 10.1103/PhysRevLett.96.030403
48. E. Jezek and N. Makri, J. Phys. Chem. JPCHAX 0022-3654 105, 2851 (2001).
49. N. J. Wright and N. Makri, J. Chem. Phys. JCPSA6 0021-9606 119, 1634 (2003). 10.1063/1.1580472
50. J. Chen and N. Makri, Mol. Phys. MOPHAM 0026-8976 106, 443 (2008). 10.1080/00268970701854797
51. M. Kryvohuz and J. Cao, Phys. Rev. Lett. PRLTAO 0031-9007 95, 180405 (2005). 10.1103/PhysRevLett.95.180405
52. J. Leegwater and S. Mukamel, J. Chem. Phys. JCPSA6 0021-9606 102, 2365 (1995). 10.1063/1.468723
53. W. G. Noid, G. S. Ezra, and G. F. Loring, J. Phys. Chem. JPCHAX 0022-3654 108, 6536 (2004). 10.1021/jp036749o
54. S. Mukamel, V. Khidekel, and V. Chernyak, Phys. Rev. E PLEEE8 1063-651X 53, R1 (1996). 10.1103/PhysRevE.53.R1
55. G. Ilk and N. Makri, J. Chem. Phys. JCPSA6 0021-9606 101, 6708 (1994). 10.1063/1.468364
56. K. Forsythe and N. Makri, Phys. Rev. B PRBMDO 0163-1829 60, 972 (1999). 10.1103/PhysRevB.60.972