Stochastic dynamics of a single impurity molecule from the viewpoint of continuous measurement theory

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 57, Issue 2, 1998, Pages 1400-1411

  Kilin, S Ya ^a   Maevskaya, T M ^a   Nizovtsev, A P ^a   Shatokhin, V N ^a   Berman, P R ^b   von Borczyskowski, C ^c   Wrachtrup, J ^c   Fleury, L ^c  

^a B I STEPANOV INSTITUTE OF PHYSICS   (Belarus)

^b UNIVERSITY OF MICHIGAN   (United States)

^c CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002981690     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.57.1400     Document Type: Article

References (45)

1. W. E. Moerner and T. Basché, Angew. Chem. Int. Ed. Engl. 32, 457 (1993).ACIEAY
2. W. P. Ambrose and W. E. Moerner, Nature (London) 349, 225 (1991).NATUAS
3. M. Orrit and J. Bernard, Phys. Rev. Lett. 65, 2716 (1990).PRLTAO
4. J. Bernard, L. Fleury, H. Talon, and M. Orrit, J. Chem. Phys. 98, 850 (1993).JCPSA6
5. T. Basché, W. E. Moerner, M. Orrit, and H. Talon, Phys. Rev. Lett. 69, 1516 (1992).PRLTAO
6. 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).NATUAS
7. J. Wrachtrup, C. von Borczyskowski, J. Bernard, M. Orrit, and R. Brown, Nature (London) 363, 244 (1993).NATUAS
8. J. Wrachtrup, C. von Borczyskowski, J. Bernard, M. Orrit, and R. Brown, Phys. Rev. Lett. 71, 3565 (1993).PRLTAO
9. R. Brown, J. Wrachtrup, M. Orrit, J. Bernard, and C. von Borczyskowski, J. Chem. Phys. 100, 7182 (1994).JCPSA6
10. J. Wrachtrup, C. von Borczyskowski, J. Bernard, R. Brown, and M. Orrit, Chem. Phys. Lett. 245, 262 (1995).CHPLBC
11. S. Ya. Kilin, A. P. Nizovtsev, P. R. Berman, J. Wrachtrup, and C. von Borczyskowski, J. Lumin. 72-74, 1013 (1997); JLUMA8
12. S. Ya. KilinA. P. NizovtsevP. R. BermanJ. WrachtrupC. von BorczyskowskiPhys. Rev. B 56, 24 (1997).
13. Th. Basche and W. E. Moerner, Nature (London) 355, 335 (1992).NATUAS
14. M. Orrit, J. Bernard, A. Zumbusch, and R. I. Personov, Chem. Phys. Lett. 196, 335 (1992).CHPLBC
15. T. Plakhotnik, W. E. Moerner, T. Irngartinger, and U. P. Wild, Chemia 48, 31 (1994).
16. R. Kettner, J. Tittel, Th. Basché, and C. Brauchle, J. Phys. Chem. 98, 6671 (1994).JPCHAX
17. Th. Basché, S. Kummer, and C. Bräuchle, Nature (London) 373, 132 (1995); NATUAS
18. S. Kummer, Th. Basché, and C. Bräuchle, Chem. Phys. Lett. 229, 309 (1994); CHPLBC
19. T. Basché, R. Kettner, J. Tittel, and S. Kummer, Exp. Tech. Phys. (Lemgo, Ger.) 41, 197 (1995).ETPHF8
20. M. Vogel, A. Gruber, J. Wrachtrup, and C. von Borczyskowski, J. Chem. Phys. 99, 14 915 (1995).JCPSA6
21. P. J. L. Baudour, Y. Delugeard, and H. Cailleau, Acta Crystallogr., Sect. B: Struct. Crystallogr. Cryst. Chem. 32, 150 (1976).ACBCAR
22. The spectral diffusion for a single pentacene molecule in (Formula presented)-terphenyl crystal is explained by a flip-flop motion of the inner phenyl ring of the nearby (Formula presented)-terphenyl molecules. See W. P. Ambrose, T. Basché, and W. E. Moerner, J. Lumin. 53, 62 (1992); JLUMA8
23. P. D. Reilly and J. L. Skinner, Phys. Rev. Lett. 71, 4257 (1993); PRLTAO
24. P. D. ReillyJ. L. SkinnerJ. Chem. Phys. 102, 1540 (1994).
25. Amorphous Solids; Low Temperature Properties, edited by W. A. Phillips (Springer, Berlin, 1981).
26. The microscopic structure of these configurations remains almost unknown. Some successful attempts to obtain the microscopic geometric structure on the basis of numerical simulations in a two-dimensional model of glass have been performed very recently: D. Dab, A. Heuer, and R. J. Silbey, J. Lumin. 64, 95 (1995).JLUMA8
27. W. A. Phillips, J. Low Temp. Phys. 7, 351 (1972).JLTPAC
28. P. W. Anderson, B. I. Halperin, and C. M. Warma, Philos. Mag. 25, 1 (1972).PHMAA4
29. W. A. Phillips, Rep. Prog. Phys. 50, 1657 (1987).RPPHAG
30. S. W. T. Simpson, Theories of Electron in Molecules (Prentice-Hall, Englewood Cliffs, NJ, 1962).
31. A. Zumbusch, L. Fleury, R. Brown, J. Bernard, and M. Orrit, Phys. Rev. Lett. 70, 3584 (1993).PRLTAO
32. J. Tittel, R. Kettner, Th. Basché, G. Bräuchle, H. Quante, and K. Müllen, J. Lumin. 64, 1 (1995).JLUMA8
33. P. D. Reilly and J. L. Skinner, Phys. Rev. Lett. 71, 4257 (1993); PRLTAO
34. P. D. ReillyJ. L. SkinnerJ. Chem. Phys. 101, 959 (1994);
35. J. Chem. Phys.P. D. ReillyJ. L. Skinner101, 965 (1994);
36. J. Chem. Phys.P. D. ReillyJ. L. Skinner102, 1540 (1995);
37. G. Zumofen and J. Klafter, Chem. Phys. Lett. 219, 303 (1994).CHPLBC
38. R. Kubo, in Fluctuation, Relaxation and Resonance in Magnetic Systems, edited by D. TerHaar (Oliver and Boyd, Edinburgh, 1961), p. 23.
39. M. O. Srinivas and E. B. Davies, Opt. Acta 28, 981 (1981); OPACATS. 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).
40. L. Fleury, A. Zumbusch, M. Orrit, R. Brown, and J. Bernard, J. Lumin. 56, 15 (1993).JLUMA8
41. L. Fleury, M. Orrit, and R. Brown (unpublished).
42. The situation can arise, e.g., due to the ac dynamical Stark effect shift of the TLOS(Formula presented) and TLOS(Formula presented) levels which can effectively “tune” the levels in TLOS(Formula presented) and TLOS(Formula presented) thus resulting in the increase of the tunneling rates with intensity. This possible effect can be studied later elsewhere.
43. Note that in order to describe stochastic jump evolution one can use wave functions (see H. J. Carmichael in Ref. 30) rather than density matrices. But if one is not interested in fast stochastic jumps originated from spontaneous emission and concentrates only on slow jumps one should average full stochastic histories over fast jumps, which immediately brings us to the density matrix approach.
44. R. A. Howard, IEEE Trans. Mil. Electron. MIL-8, 114 (1964);
45. S. Ya. Kilin and T. B. Krinitskaya, J. Opt. Soc. Am. B 8, 2289 (1991). JOBPDE