Non-Markovian quantum state diffusion for absorption spectra of molecular aggregates

Journal of Chemical Physics

Volumn 134, Issue 3, 2011, Pages

  Roden, Jan ^a   Strunz, Walter T ^b   Eisfeld, Alexander ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLICATED SYSTEMS; ELECTRONIC EXCITATION; EXACT RESULTS; FREQUENCY DEPENDENT; HIGH-FREQUENCY MODE; MOLECULAR AGGREGATE; MOLECULAR SYSTEMS; NON-MARKOVIAN; OPEN QUANTUM SYSTEMS; PHONON MODE; QUANTUM STATE;

ABSORPTION; ABSORPTION SPECTRA; DIFFUSION IN SOLIDS; ENERGY TRANSFER; LIGHT ABSORPTION; QUANTUM ELECTRONICS; QUANTUM OPTICS;

AGGLOMERATION;

ARTICLE; QUANTUM THEORY; SPECTROSCOPY;

QUANTUM THEORY; SPECTRUM ANALYSIS;

EID: 79551618162     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3512979     Document Type: Article

References (89)

1. A. Davydov, Theory of Molecular Excitons (McGraw-Hill, New York, 1962).
2. M. Schwoerer and H. C. Wolf, Organic Molecular Solids (Wiley-VCH, Weinheim, 2006).
3. G. Scheibe, Angew. Chem. 49, 563 (1936).
4. E. E. Jelley, Nature 138, 1009 (1936). 10.1038/1381009a0
5. G. Scheibe, Kolloid-Z. 82, 1 (1938). 10.1007/BF01509409
6. J. Franck and E. Teller, J. Chem. Phys. 6, 861 (1938). 10.1063/1.1750182
7. T. Kobayashi, ed., J-Aggregates (World Scientific, Singapore, 1996).
8. H. van Amerongen, L. Valkunas, and R. van Grondelle, Photosynthetic Excitons (World Scientific, Singapore, 2000).
9. T. Renger, V. May, and O. Khn, Phys. Rep. 343, 137 (2001). 10.1016/S0370-1573(00)00078-8
10. R. van Grondelle and V. I. Novoderezhkin, Phys. Chem. Chem. Phys. 8, 793 (2006). 10.1039/b514032c
11. A. Freiberg, M. Rtsep, K. Timpmann, and G. Trinkunas, Chem. Phys. 357, 102 (2009). 10.1016/j.chemphys.2008.10.043
12. F. Robicheaux, J. V. Hernndez, T. Topu, and L. D. Noordam, Phys. Rev. A 70, 042703 (2004). 10.1103/PhysRevA.70.042703
13. W. R. Anderson, J. R. Veale, and T. F. Gallagher, Phys. Rev. Lett. 80, 249 (1998). 10.1103/PhysRevLett.80.249
14. O. Mlken, A. Blumen, T. Amthor, C. Giese, M. Reetz-Lamour, and M. Weidemller, Phys. Rev. Lett. 99, 090601 (2007). 10.1103/PhysRevLett.99.090601 (Pubitemid 47331110)
15. C. Ates, A. Eisfeld, and J. M. Rost, New J. Phys. 10, 045030 (2008). 10.1088/1367-2630/10/4/045030
16. S. Wster, C. Ates, A. Eisfeld, and J. M. Rost, Phys. Rev. Lett. 105, 053004 (2010). 10.1103/PhysRevLett.105.053004
17. H. Matsueda, K. Leosson, Z. C. Xu, J. M. Hvam, Y. D. A. Hartmann, and E. Kapon, IEEE Trans. Nanotechnol. 3, 318 (2004). 10.1109/TNANO.2004.828559
18. B. W. Lovett, J. H. Reina, A. Nazir, B. Kothari, and G. A. D. Briggs, Phys. Lett. A 315, 136 (2003). 10.1016/S0375-9601(03)00999-X
19. W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, Opt. Commun. 220, 137 (2003). 10.1016/S0030-4018(03)01357-9
20. A. V. Malyshev, V. A. Malyshev, and J. Knoester, Nano Lett. 8, 2369 (2008). 10.1021/nl8011962
21. J. E. Halpert, J. R. Tischler, G. Nair, B. J. Walker, W. Liu, V. Bulovici, and M. G. Bawendi, J. Phys. Chem. C 113, 9986 (2009). 10.1021/jp8099169
22. D. M. Eisele, J. Knoester, S. Kirstein, J. P. Rabe, and D. A. Vanden Bout, Nature Nanotechnology 4, 658 (2009). 10.1038/nnano.2009.227
23. A. Eisfeld and J. S. Briggs, Phys. Rev. Lett. 96, 113003 (2006 a). 10.1103/PhysRevLett.96.113003
24. M. Wewer and F. Stienkemeier, Phys. Chem. Chem. Phys. 7, 1171 (2005). 10.1039/b418896a (Pubitemid 40461213)
25. H. Proehl, T. Dienel, R. Nitsche, and T. Fritz, Phys. Rev. Lett. 93, 097403 (2004). 10.1103/PhysRevLett.93.097403
26. J. Seibt, A. Lohr, F. Wrthner, and V. Engel, Phys. Chem. Chem. Phys. 9, 6214 (2007). 10.1039/b712155e
27. R. L. Fulton and M. Gouterman, J. Chem. Phys. 35, 1059 (1961). 10.1063/1.1701181
28. B. Kopainsky, J. K. Hallermeier, and W. Kaiser, Chem. Phys. Lett. 83, 498 (1981). 10.1016/0009-2614(81)85509-1
29. A. Eisfeld, L. Braun, W. T. Strunz, J. S. Briggs, J. Beck, and V. Engel, J. Chem. Phys. 122, 134103 (2005). 10.1063/1.1861883 (Pubitemid 41237208)
30. J. Seibt, P. Marquetand, V. Engel, Z. Chen, V. Dehm, and F. Wrthner, Chem. Phys. 328, 354 (2006). 10.1016/j.chemphys.2006.07.023
31. P. O. J. Scherer, Adv. Mater. 7, 451 (1995). 10.1002/adma.19950070506
32. F. C. Spano, Chem. Phys. Lett. 331, 7 (2000). 10.1016/S0009-2614(00) 01153-2
33. A. Eisfeld and J. S. Briggs, Chem. Phys. 281, 61 (2002). 10.1016/S0301-0104(02)00594-3
34. A. Eisfeld and J. S. Briggs, Chem. Phys. 324, 376 (2006 b). 10.1016/j.chemphys.2005.11.015
35. A. Eisfeld and J. S. Briggs, Chem. Phys. Lett. 446, 354 (2007). 10.1016/j.cplett.2007.07.110 (Pubitemid 47445477)
36. J. Roden, A. Eisfeld, and J. S. Briggs, Chem. Phys. 352, 258 (2008). 10.1016/j.chemphys.2008.07.001
37. Z. Zhao and F. C. Spano, J. Chem. Phys. 122, 114701 (2005). 10.1063/1.1861456 (Pubitemid 40661773)
38. J. Roden, A. Eisfeld, M. Dvok, O. Bnermann, and F. Stienkemeier, Vibronic line shapes of PTCDA oligomers in helium nanodroplets., J. Chem. Phys. (in press). 10.1063/1.3526749
39. P. Scherer, in J-Aggregates, edited by, T. Kobayashi, (World Scientific, Singapore, 1996).
40. M. Wewer and F. Stienkemeier, J. Chem. Phys. 120, 1239 (2004). 10.1063/1.1633761
41. A. Damjanovi, I. Kosztin, U. Kleinekathfer, and K. Schulten, Phys. Rev. E 65, 031919 (2002). 10.1103/PhysRevE.65.031919 (Pubitemid 40619162)
42. M. Schreiber, P. Herman, I. Barvk, I. Kondov, and U. Kleinekathfer, J. Lumin. 108, 137 (2004). 10.1016/j.jlumin.2004.01.022
43. J. Adolphs and T. Renger, Biophys. J 91, 2778 (2006). 10.1529/biophysj.105.079483 (Pubitemid 44526469)
44. J. Roden, A. Eisfeld, W. Wolff, and W. T. Strunz, Phys. Rev. Lett. 103, 058301 (2009). 10.1103/PhysRevLett.103.058301
45. J. Roden, W. Strunz, and A. Eisfeld, Spectral properties of molecular oligomers. A non-Markovian quantum state diffusion approach., Int. J. Mod. Phys. B (in press).
46. L. Disi and W. T. Strunz, Phys. Lett. A 235, 569 (1997). 10.1016/S0375-9601(97)00717-2
47. T. Yu, L. Diosi, N. Gisin, and W. T. Strunz, Phys. Rev. A 60, 91 (1999). 10.1103/PhysRevA.60.91
48. L. Disi, N. Gisin, and W. T. Strunz, Phys. Rev. A 58, 1699 (1998). 10.1103/PhysRevA.58.1699
49. W. T. Strunz, L. Disi, and N. Gisin, Phys. Rev. Lett. 82, 1801 (1999). 10.1103/PhysRevLett.82.1801
50. A. Imamolu, Phys. Rev. A 50, 3650 (1994). 10.1103/PhysRevA.50.3650
51. B. M. Garraway, Phys. Rev. A 55, 2290 (1997). 10.1103/PhysRevA.55.2290
52. L. Mazzola, S. Maniscalco, J. Piilo, K.-A. Suominen, and B. M. Garraway, Phys. Rev. A 80, 012104 (2009). 10.1103/PhysRevA.80.012104
53. J. Bona, S. A. Trugman, and I. Batisti, Phys. Rev. B 60, 1633 (1999). 10.1103/PhysRevB.60.1633
54. T. Renger and R. A. Marcus, J. Chem. Phys. 116, 9997 (2002). 10.1063/1.1470200 (Pubitemid 34690651)
55. M. Yang and G. R. Fleming, Chem. Phys. 282, 163 (2002). 10.1016/S0301-0104(02)00604-3
56. A. Ishizaki and G. R. Fleming, J. Chem. Phys. 130, 234111 (2009). 10.1063/1.3155372
57. A. Ishizaki and G. R. Fleming, J. Chem. Phys. 130, 234110 (2009). 10.1063/1.3155214
58. R.-X. Xu, P. Cui, X.-Q. Li, Y. Mo, and Y. Yan, J. Chem. Phys. 122, 041103 (2005). 10.1063/1.1850899 (Pubitemid 41047576)
59. J. Strmpfer and K. Schulten, J. Chem. Phys. 131, 225101 (2009). 10.1063/1.3271348
60. J. Prior, A. W. Chin, S. F. Huelga, and M. B. Plenio, Phys. Rev. Lett. 105, 050404 (2010). 10.1103/PhysRevLett.105.050404
61. P. Rebentrost, R. Chakraborty, and A. Aspuru-Guzik, J. Chem. Phys. 131, 184102 (2009). 10.1063/1.3259838
62. L. Chen, R. Zheng, Q. Shi, and Y. Yan, J. Chem. Phys. 131, 094502 (2009). 10.1063/1.3213013
63. A. Witkowski and W. Moffitt, J. Chem. Phys. 33, 872 (1960). 10.1063/1.1731278
64. R. E. Merrifield, Radiat. Res. 20, 154 (1963). 10.2307/3571343
65. R. L. Fulton and M. Gouterman, J. Chem. Phys. 41, 2280 (1964). 10.1063/1.1726260
66. A. Witkowski, in Modern Quantum Chemistry III, edited by, Sinanolu, (Academic, New York, 1965).
67. P. O. J. Scherer and S. F. Fischer, Chem. Phys. 86, 269 (1984). 10.1016/0301-0104(84)80015-4
68. P. Walczak, A. Eisfeld, and J. S. Briggs, J. Chem. Phys. 128, 044505 (2008). 10.1063/1.2823730 (Pubitemid 351191621)
69. V. May and O. Khn, Charge and Energy Transfer Dynamics in Molecular Systems, 2nd ed. (Wiley-VCH, Weinheim, 2004).
70. V. Bargmann, Commun. Pure Appl. Math. 14, 187 (1961). 10.1002/cpa.3160140303
71. L. Disi, N. Gisin, and W. T. Strunz, Phys. Rev. A 61, 022108 (2000). 10.1103/PhysRevA.61.022108
72. W. T. Strunz and T. Yu, Phys. Rev. A 69, 052115 (2004). 10.1103/PhysRevA.69.052115
73. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, New York, 2002).
74. For the propagation we use a fourth order Runge Kutta method.
75. F. C. Spano, J. Am. Chem. Soc. 131, 4267 (2009). 10.1021/ja806853v
76. J. Guthmuller, F. Zutterman, and B. Champagne, J. Chem. Theory Comput. 4, 2094 (2008). 10.1021/ct8003047
77. C. Meier and D. J. Tannor, J. Chem. Phys. 111, 3365 (1999). 10.1063/1.479669
78. W. T. Simpson and D. L. Peterson, J. Chem. Phys. 26, 588 (1957). 10.1063/1.1743351
79. E. S. Medvedev and V. I. Osherov, Radiationless Transitions in Polyatomic Molecules (Springer-Verlag, Berlin, 1995).
80. E. W. Knapp, Chem. Phys. 85, 73 (1984).
81. H. Fidder, J. Knoester, and D. A. Wiersma, J. Chem. Phys. 95, 7880 (1991). 10.1063/1.461317
82. V. A. Malyshev and F. Dominguez-Adame, Chem. Phys. Lett. 313, 255 (1999). 10.1016/S0009-2614(99)01025-8
83. A. Eisfeld, S. M. Vlaming, V. A. Malyshev, and J. Knoester, Phys. Rev. Lett. 105, 137402 (2010). 10.1103/PhysRevLett.105.137402
84. J. Roden and A. Eisfeld, Anomalous strong exchange narrowing in excitonic systems., J. Chem. Phys. (in press). 10.1063/1.3528718
85. M. Schrder, U. Kleinekathfer, and M. Schreiber, J. Chem. Phys. 124, 084903 (2006). 10.1063/1.2171188
86. A. Eisfeld, R. Kniprath, and J. Briggs, J. Chem. Phys. 126, 104904 (2007). 10.1063/1.2464097 (Pubitemid 46440104)
87. I. Percival, Quantum State Diffusion (Cambridge University Press, Cambridge, England, 1998).
88. V. Engel, Chem. Phys. Lett. 189, 76 (1992). 10.1016/0009-2614(92)85155-4
89. A. R. Bosco de Magalhes, C. H. d'vila Fonseca, and M. C. Nemes, Phys. Scr. 74, 472 (2006). 10.1088/0031-8949/74/4/011 (Pubitemid 46069402)