Theory of non-Markovian relaxation of single triplet electron spins using time- and frequency-domain magnetic resonance spectroscopy measured via optical fluorescence: Application to single pentacene molecules in crystalline p-terphenyl

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 14, 1998, Pages 8997-9017

  Kilin, S Ya ^a   Nizovtsev, A ^a   Berman, P ^b  

^a INSTITUTE FOR MATHEMATICS   (Belarus)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005041446     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.58.8997     Document Type: Article

References (92)

1. W. E. Moerner and L. Kador, Phys. Rev. Lett. 62, 2535 (1989).
2. M. Orrit and J. Bernard, Phys. Rev. Lett. 65, 2716 (1990).
3. W. E. Moerner and W. E. Ambrose, Phys. Rev. Lett. 66, 1376 (1991).
4. W. P. Ambrose and W. E. Moerner, Nature (London) 349, 225 (1991).
5. W. P. Ambrose, Th. Basché, and W. E. Moerner, J. Chem. Phys. 95, 7150 (1991).
6. A. Zumbusch, L. Fleury, R. Brown, J. Bernard, and M. Orrit, Phys. Rev. Lett. 70, 3584 (1993).
7. J. Bernard, L. Fleury, H. Talon, and M. Orrit, J. Chem. Phys. 98, 850 (1993).
8. Th. Basché, W. E. Moerner, M. Orrit, and H. Talon, Phys. Rev. Lett. 69, 1516 (1992).
9. W. E. Moerner and T. Basché, Angew. Chem. Int. Ed. Engl. 32, 457 (1993).
10. M. Orrit, J. Bernard, and R. I. Personov, J. Phys. Chem. 97,10 256 (1993).
11. Single-Molecule Optical Detection, Imaging and Spectroscopy, edited by T. Basché, W. E. Moerner, M. Orrit, and U. P. Wild (VCH, Weinheim, 1997).
12. J. Köhler, J. A. J. M. Disselhorst, M. C. J. M. Donckers, E. J. J. Groenen, J. Schmidt, and W. E. Moerner, Nature (London) 363, 242 (1993).
13. J. Wrachtrup, C. von Borczyskowski, J. Bernard, M. Orrit, and R. Brown, Nature (London) 363, 244 (1993).
14. J. Wrachtrup, C. von Borczyskowski, J. Bernard, M. Orrit, and R. Brown, Phys. Rev. Lett. 71, 3565 (1993).
15. R. Brown, J. Wrachtrup, M. Orrit, J. Bernard, and C. von Borczyskowski, J. Chem. Phys. 100, 7182 (1994).
16. J. Köhler, A. C. J. Brouwer, E. J. J. Groenen, and J. Schmidt, Chem. Phys. Lett. 228, 47 (1994).
17. J. Wrachtrup, C. von Borczyskowski, J. Bernard, R. Brown, and M. Orrit, Chem. Phys. Lett. 245, 262 (1995).
18. J. Wrachtrup and C. von Borczyskowski, J. Lumin. 64, 13 (1995).
19. A. Gruber, M. Vogel, J. Schuster, J. Wrachtrup, and C. von Borczyskowski, Exp. Tech. Phys. (Lemgo, Ger.) 42, 219 (1995).
20. J. Köhler, A. C. J. Brouwer, E. J. J. Groenen, and J. Schmidt, Science 268, 1457 (1995).
21. J. Köhler, A. C. J. Brouwer, E. J. J. Groenen, and J. Schmidt, Chem. Phys. Lett. 250, 137 (1996).
22. A. C. J. Brouwer, J. Köhler, E. J. J. Groenen, and J. Schmidt, J. Chem. Phys. 105, 2212 (1996).
23. A. G. Redfield, Phys. Rev. 98, 1787 (1955).
24. A. Abragam, The Principles of Nuclear Magnetism (Clarendon, Oxford, 1970).
25. A. N. Argyres and P. L. Kelley, Phys. Rev. 134, A98 (1964).
26. C. A. Van ’t Hof and J. Schmidt, Mol. Phys. 38, 309 (1979).
27. R. Kubo, in Fluctuation, Relaxation and Resonance in Magnetic Systems, edited by D. Ter Haar (Oliver and Boyd, Edinburgh, 1961), p. 23;
28. Adv. Chem. Phys. 15, 101 (1969).
29. J. Phys. Soc. Jpn. 26, 1 (1969).
30. J. H. Freed, G. V. Bruno, and C. F. Polnaszek, J. Phys. Chem. 75, 3385 (1971).
31. P. R. Berman and R. G. Brewer, Phys. Rev. A 32, 2784 (1985).
32. S. Ya. Kilin and A. P. Nizovtsev, J. Phys. B 19, 3457 (1986).
33. P. A. Apanasevich, S. Ya. Kilin, and A. P. Nizovtsev, Zh. Prikl. Spektrosk. 47, 887 (1987) [J. Appl. Spectrosc. 47, 1213 (1988)].
34. S. Ya. Kilin and A. P. Nizovtsev, Phys. Rev. A 42, 4403 (1990).
35. A. I. Burshtein, A. A. Zharikov, and S. I. Temkin, J. Phys. B 21, 1907 (1988).
36. A. I. Burshtein and V. S. Malinovsky, J. Opt. Soc. Am. B 8, 1098 (1991).
37. A. I. Burshtein, A. A. Zharikov, and V. S. Malinovsky, Phys. Rev. A 43, 1538 (1991).
38. E. Geva, R. Kosloff, and J. L. Skinner, J. Chem. Phys. 102, 8541 (1995).
39. W. G. Breiland, H. C. Brenner, and C. B. Harris, J. Chem. Phys. 62, 3458 (1975).
40. C. B. Harris and W. G. Breiland, in Laser and Coherence Spectroscopy, edited by J. I. Steinfeld (Plenum, New York, 1978), p. 373.
41. M. Glasbeek and R. Hond, Phys. Rev. B 23, 4220 (1981).
42. H. C. Brenner, in Triplet State ODMR Spectroscopy, edited by R. H. Clarke (Wiley, New York, 1982), p. 185.
43. S. Ya. Kilin, A. P. Nizovtsev, P. R. Berman, J. Wrachtrup, and C. von Borczyskowski, J. Lumin. 72-74, 1013 (1997).
44. S. Ya. Kilin, A. P. Nizovtsev, P. R. Berman, J. Wrachtrup, and C. von Borczyskowski, Phys. Rev. B 56, 24 (1997).
45. S. Ya. Kilin, A. P. Nizovtsev, P. R. Berman, C. von Borczyskowski, and J. Wrachtrup, Opt. Spectrosk. 82, 1010 (1997) [Opt. Spectrosc. 82, 927 (1997)].
46. S. P. McGlynn, T. Azumi, and M. Kinoshita, Molecular Spectroscopy of the Triplet State (Prentice Hall, Englewood Cliffs, NJ, 1969).
47. Th. Basché, W. P. Ambrose, and W. E. Moerner, J. Opt. Soc. Am. B 9, 829 (1992).
48. T. Basché and W. E. Moerner, Nature (London) 355, 335 (1992).
49. M. Orrit, J. Bernard, A. Zumbusch, and R. I. Personov, Chem. Phys. Lett. 196, 595 (1992).
50. Chem. Phys. Lett.M. OrritJ. BernardA. ZumbuschR. I. Personov199, 408 (1992).
51. L. Fleury, A. Zumbusch, M. Orrit, R. Brown, and J. Bernard, J. Lumin. 56, 15 (1993).
52. P. D. Reilly and J. L. Skinner, Phys. Rev. Lett. 71, 4257 (1993).
53. P. D. ReillyJ. L. SkinnerJ. Chem. Phys. 101, 959 (1994).
54. J. Chem. Phys.P. D. ReillyJ. L. Skinner101, 965 (1994).
55. J. Chem. Phys.P. D. ReillyJ. L. Skinner102, 1540 (1995).
56. G. Zumofen and J. Klafter, Chem. Phys. Lett. 219, 303 (1994).
57. T. E. Orlowski and A. H. Zewail, J. Chem. Phys. 70, 1390 (1979).
58. V. Lawetz, G. Orlandi, and W. Siebrand, J. Chem. Phys. 56, 4058 (1972).
59. M. O. Srinivas and E. B. Davies, Opt. Acta 28, 981 (1981); S. Ya. Kilin, Quantum Optics: Fields and their Detection (Nauka i Tehnika, Minsk, 1990);H. J. Carmichael, An Open System Approach to Quantum Optics, Lecture Notes in Physics, Vol. 18 (Springer-Verlag, Berlin, 1993).
60. S. Ya. Kilin, T. M. Maevskaya, A. P. Nizovtsev, V. N. Shatokhin, P. R. Berman, C. von Borczyskowski, J. Wrachtrup, and L. Fleury, J. Lumin. 76&77, 288 (1998).
61. S. Ya. KilinT. M. MaevskayaA. P. NizovtsevV. N. ShatokhinP. R. BermanC. von BorczyskowskiJ. WrachtrupL. FleuryPhys. Rev. A 57, 1400 (1998).
62. C. A. Hutchinson, J. H. Nicholas, and G. W. Scott, J. Chem. Phys. 53, 1906 (1970).
63. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).
64. A. Szöke, Opt. Lett. 2, 36 (1978).
65. A. M. Bonch-Bruevich, T. A. Vartanyan, and V. V. Khromov, Zh. Éksp. Teor. Fiz. 78, 538 (1980) [Sov. Phys. JETP 51, 271 (1980)].
66. R. G. DeVoe and R. G. Brewer, Phys. Rev. Lett. 50, 1269 (1983).
67. T. Muramoto and A. Szabo, Phys. Rev. A 38, 5928 (1988).
68. A. Szabo and R. Kaarli, Phys. Rev. B 44, 12 307 (1991).
69. C. B. Harris, R. L. Schlupp, and H. Schuch, Phys. Rev. Lett. 30, 1019 (1973).
70. R. H. Feynman, F. L. Vernon, Jr., and R. W. Hellwarth, J. Appl. Phys. 28, 49 (1957).
71. D. A. Warshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of the Angular Momentum (Nauka, Leningrad, 1975).
72. A. Brissaud and U. Frisch, J. Math. Phys. 10, 524 (1974).
73. V. I. Klyatskin, Stochastic Equations and Waves in Random Media (Nauka, Moscow, 1980).
74. K. Wódkiewicz and J. H. Eberly, Phys. Rev. A 32, 992 (1985).
75. V. S. Malinovsky, Phys. Rev. A 52, 4921 (1995).
76. K. Wódkiewicz, B. W. Shore, and J. H. Eberly, J. Opt. Soc. Am. B 1, 398 (1984).
77. A. I. Burshtein and B. I. Yakobson, Khim. Fiz. 1, 479 (1982).
78. J. R. Klauder and P. W. Anderson, Phys. Rev. 125, 912 (1962).
79. P. Hu and S. R. Hartmann, Phys. Rev. B 9, 1 (1974).
80. P. Hu and L. R. Walker, Phys. Rev. B 18, 1300 (1978).
81. V. M. Loginov and V. E. Shapiro, Dynamical Systems under the Stochastic Interactions (Nauka, Novosibirsk, 1983).
82. A. I. Burshtein, Zh. Eksp. Teor. Fiz. 48, 85 (1965) [Sov. Phys. JETP 21, 567 (1965)].
83. A. I. Burshtein, Lectures on Quantum Kinetics (Izd. NGU, Novosibirsk, 1968).
84. B. Shore, J. Opt. Soc. Am. B 1, 176 (1984).
85. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, New York, 1990), Vol. 2.
86. E. G. Pestov and S. G. Rautian, Zh. Eksp. Teor. Fiz. 64, 2032 (1973) [Sov. Phys. JETP 37, 1025 (1973)].
87. M. Goldman, Spin Temperature and Nuclear Magnetic Resonance in Solids (Oxford University Press, Oxford, 1970).
88. J. Schmidt and J. H. van der Waals, in Time Domain Electron Spin Resonance, edited by L. Kevan and R. N. Shwartz (Wiley, New York, 1972), p. 343.
89. T. S. T. Lin, J. L. Ong, D. J. Sloop, and H. L. Yu, in Pulsed EPR: A New Field of Application, edited by C. P. Kreijers, E. J. Reijerse, and J. Schmidt (North-Holland, Amsterdam, 1988), p. 191.
90. A. J. van Strien and J. Schmidt, Chem. Phys. Lett. 70, 513 (1980).
91. K. M. Salikhov, A. G. Semenov, and Y. D. Tsvetkov, in Electron Spin Echo and Its Applications, edited by Y. N. Molin (Nauka, Novosibirsk, 1976).
92. N. N. Korst, Teor. Mat. Fiz. 6, 265 (1971).