Hilbert-space treatment of incoherent, time-resolved spectroscopy. I. Formalism, a tensorial classification of high-order orientational gratings and generalized MUPPETS "echoes"

Journal of Chemical Physics

Volumn 132, Issue 14, 2010, Pages

  Berg, Mark A ^a  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY NUMBER; ARBITRARY ORDER; CORRELATION FUNCTION; DIPOLE TRANSITION; GENERAL EXPRESSION; GENERAL METHOD; HIGH-ORDER; HILBERT; MOLECULAR SOLUTE; QUANTUM OPERATORS; RELAXATION RATES; SPACE TREATMENT; TEMPORAL DIMENSIONS; TENSOR METHOD; TIME CORRELATION FUNCTIONS; TIME EVOLUTIONS; TIME-RATE; TIME-RESOLVED SPECTROSCOPY; TRANSIENT GRATING; TRANSIENT SPECTROSCOPY;

EXPERIMENTS; LASER SPECTROSCOPY; PLANTS (BOTANY);

HILBERT SPACES;

EID: 77951124132     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3327760     Document Type: Article

References (67)

1. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Clarendon, Oxford, 1987).
2. D. M. Jonas, Annu. Rev. Phys. Chem. 0066-426X 54, 425 (2003). 10.1146/annurev.physchem.54.011002.103907
3. M. Khalil, N. Demirdoven, and A. Tokmakoff, J. Phys. Chem. A 1089-5639 107, 5258 (2003). 10.1021/jp0219247
4. R. M. Hochstrasser, Adv. Chem. Phys. 0065-2385 132, 1 (2006).
5. J. Zheng, K. Kwak, and M. D. Fayer, Acc. Chem. Res. 0001-4842 40, 75 (2007). 10.1021/ar068010d
6. C. Khurmi and M. A. Berg, J. Phys. Chem. A 1089-5639 112, 3364 (2008). 10.1021/jp710711w
7. C. Khurmi and M. A. Berg, J. Chem. Phys. 0021-9606 129, 064504 (2008). 10.1063/1.2960589
8. A. Heuer, Phys. Rev. E 1063-651X 56, 730 (1997). 10.1103/PhysRevE.56.730
9. R. van Zon and J. Schofield, Phys. Rev. E 1063-651X 65, 011106 (2001). 10.1103/PhysRevE.65.011106
10. N. Lačevic, F. W. Starr, T. B. Schroder, and S. C. Glotzer, J. Chem. Phys. 0021-9606 119, 7372 (2003). 10.1063/1.1605094
11. K. Kim and S. Saito, Phys. Rev. E 1063-651X 79, 060501 (2009). 10.1103/PhysRevE.79.060501
12. F. Šanda and S. Mukamel, Phys. Rev. E 1063-651X 72, 031108 (2005). 10.1103/PhysRevE.72.031108 (Pubitemid 41778051)
13. M. Lippitz, F. Kulzer, and M. Orrit, ChemPhysChem 1439-4235 6, 770 (2005). 10.1002/cphc.200400560 (Pubitemid 40669541)
14. M. D. Ediger, Annu. Rev. Phys. Chem. 0066-426X 51, 99 (2000). 10.1146/annurev.physchem.51.1.99
15. B. Schiener, R. Böhmer, A. Loidl, and R. V. Chamberlin, Science 0036-8075 274, 752 (1996). 10.1126/science.274.5288.752 (Pubitemid 26398248)
16. R. V. Chamberlin, Phys. Rev. Lett. 0031-9007 83, 5134 (1999). 10.1103/PhysRevLett.83.5134
17. X. Shi and G. B. McKenna, Phys. Rev. Lett. 0031-9007 94, 157801 (2005). 10.1103/PhysRevLett.94.157801 (Pubitemid 40620397)
18. X. Shi and G. B. McKenna, Phys. Rev. B 0163-1829 73, 014203 (2006). 10.1103/PhysRevB.73.014203 (Pubitemid 43273383)
19. K. M. Gaab and C. J. Bardeen, J. Phys. Chem. A 1089-5639 108, 10801 (2004). 10.1021/jp0464472 (Pubitemid 40003221)
20. K. M. Gaab and C. J. Bardeen, Phys. Rev. Lett. 0031-9007 93, 056001 (2004). 10.1103/PhysRevLett.93.056001
21. J. T. M. Kennis, D. S. Larsen, N. H. M. van Stokkum, M. Vengris, J. J. van Thor, and R. van Grondelle, Proc. Natl. Acad. Sci. U.S.A. 0027-8424 101, 17988 (2004). 10.1073/pnas.0404262102 (Pubitemid 40054062)
22. D. S. Larsen, I. H. M. van Stokkum, M. Vengris, M. A. van der Horst, F. L. de Weerd, K. J. Hellingwerf, and R. van Grondelle, Biophys. J. 0006-3495 87, 1858 (2004). 10.1529/biophysj.104.043794 (Pubitemid 39167041)
23. T. A. Cohen Stuart and R. van Grondelle, Chem. Phys. Lett. 0009-2614 474, 352 (2009). 10.1016/j.cplett.2009.04.081
24. L. van Wilderen, I. P. Clark, M. Towrie, and J. J. van Thor, J. Phys. Chem. B 1089-5647 113, 16354 (2009). 10.1021/jp9038539
25. M. K. Fischer, A. Laubereau, and H. Iglev, Phys. Chem. Chem. Phys. 1463-9076 11, 10939 (2009). 10.1039/b913688f
26. Additional references are in Ref..
27. E. van Veldhoven, C. Khurmi, X. Zhang, and M. A. Berg, ChemPhysChem 1439-4235 8, 1761 (2007). 10.1002/cphc.200700088
28. A. A. Maznev, K. A. Nelson, and T. A. Rogers, Opt. Lett. 0146-9592 23, 1319 (1998). 10.1364/OL.23.001319
29. G. D. Goodno, G. Dadusc, and R. J. D. Miller, J. Opt. Soc. Am. B 0740-3224 15, 1791 (1998). 10.1364/JOSAB.15.001791
30. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
31. A. von Jena and H. E. Lessing, Opt. Quantum Electron. 0306-8919 11, 419 (1979). 10.1007/BF00619824
32. M. D. Fayer, Annu. Rev. Phys. Chem. 0066-426X 33, 63 (1982). 10.1146/annurev.pc.33.100182.000431
33. R. Trebino, C. E. Barker, and A. E. Siegman, IEEE J. Quantum Electron. 0018-9197 22, 1413 (1986). 10.1109/JQE.1986.1073124
34. H. J. Eichler, Laser-Induced Dynamic Gratings (Springer, Berlin, 1986).
35. J. T. Fourkas, R. Trebino, and M. D. Fayer, J. Chem. Phys. 0021-9606 97, 69 (1992). 10.1063/1.463565
36. M. A. Berg, J. Chem. Phys. 0021-9606 132, 144106 (2010).
37. A. Omont, Prog. Quantum Electron. 0079-6727 5, 69 (1979). 10.1016/0079-6727(79)90003-X
38. S. Williams, R. N. Zare, and L. A. Rahn, J. Chem. Phys. 0021-9606 101, 1072 (1994). 10.1063/1.467804
39. T. J. Chuang and K. B. Eisenthal, J. Chem. Phys. 0021-9606 57, 5094 (1972). 10.1063/1.1678194
40. G. R. Fleming, Chemical Applications of Ultrafast Spectroscopy (Oxford University Press, Oxford, 1986).
41. A. J. Cross, D. H. Waldeck, and G. R. Fleming, J. Chem. Phys. 0021-9606 78, 6455 (1983). 10.1063/1.444684
42. D. S. Alavi, R. S. Harman, and D. H. Waldeck, J. Chem. Phys. 0021-9606 92, 4055 (1990). 10.1063/1.457767
43. W. M. McClain, J. Chem. Phys. 0021-9606 57, 2264 (1972). 10.1063/1.1678579
44. D. L. Andrews and T. Thirunamachandran, J. Chem. Phys. 0021-9606 67, 5026 (1977). 10.1063/1.434725
45. G. Wagnìre, J. Chem. Phys. 0021-9606 76, 473 (1982). 10.1063/1.442747
46. D. L. Andrews and N. P. Blake, J. Phys. A 0305-4470 22, 49 (1989). 10.1088/0305-4470/22/1/011
47. Y. Shi, W. M. McClain, and R. A. Harris, Phys. Rev. A 1050-2947 49, 1999 (1994). 10.1103/PhysRevA.49.1999
48. M. A. Yuratich and D. C. Hanna, Mol. Phys. 0026-8976 33, 671 (1977). 10.1080/00268977700100631
49. B. Dick, Chem. Phys. 0301-0104 113, 131 (1987). 10.1016/0301-0104(87) 80226-4
50. A. Zilian and J. C. Wright, Mol. Phys. 0026-8976 87, 1261 (1996). 10.1080/00268979650026794
51. D. L. Andrews and B. S. Webb, J. Chem. Soc., Faraday Trans. 0956-5000 86, 3051 (1990). 10.1039/ft9908603051
52. C. Wan and C. K. Johnson, Chem. Phys. 0301-0104 179, 513 (1994). 10.1016/0301-0104(94)87027-6 (Pubitemid 24760807)
53. C. Wan and C. K. Johnson, J. Chem. Phys. 0021-9606 101, 10283 (1994). 10.1063/1.467908
54. H. -S. Tan, I. R. Piletic, and M. D. Fayer, J. Opt. Soc. Am. B 0740-3224 22, 2009 (2005). 10.1364/JOSAB.22.002009 (Pubitemid 41358657)
55. A. Tokmakoff, J. Chem. Phys. 0021-9606 105, 1 (1996). 10.1063/1.471856
56. A. Tokmakoff, J. Chem. Phys. 0021-9606 105, 13 (1996). 10.1063/1.471859
57. R. M. Hochstrasser, Chem. Phys. 0301-0104 266, 273 (2001). 10.1016/S0301-0104(01)00232-4 (Pubitemid 32416844)
58. V. Cervetto, J. Helbing, J. Bredenbeck, and P. Hamm, J. Chem. Phys. 0021-9606 121, 5935 (2004). 10.1063/1.1778163
59. J. Cao, S. Yang, and J. Wu, J. Chem. Phys. 0021-9606 116, 3739 (2002). 10.1063/1.1445745 (Pubitemid 34923814)
60. J. Cao, S. Yang, and J. Wu, J. Chem. Phys. 0021-9606 116, 3760 (2002). 10.1063/1.1445746 (Pubitemid 34923815)
61. N. Young, An Introduction to Hilbert Space (Cambridge University Press, Cambridge, 1988).
62. Because the two states are from the same space, the outer product does not commute.
63. S. M. Gruenbaum and R. F. Loring, J. Chem. Phys. 0021-9606 129, 124510 (2008). 10.1063/1.2978167
64. U. Fano and G. Racah, Irreducible Tensorial Sets (Academic, New York, 1959).
65. G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1970).
66. U. Fano and A. R. P. Rau, Symmetries in Quantum Physics (Academic, San Diego, 1996).
67. J. -P. Bouchaud and A. Georges, Phys. Rep. 0370-1573 195, 127 (1990). 10.1016/0370-1573(90)90099-N