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Quantum trajectory analysis of single-photon control from a single-molecule source

J. Chem. Phys. 128, 054104 (2008); doi:10.1063/1.2827130

Published 6 February 2008

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Yongqiang Xue and William W. Kennerly
Theoretical Nanoscience Group, College of Nanoscale Science and Engineering, State University of New York, Albany, New York 12203, USA
We investigate theory of single-photon control from a two-level single-molecule source irradiated by laser pulses of various shapes and pulse durations in terms of quantum trajectories which link stochastic dynamics of the radiating source with quantum measurement theory. Using Monte Carlo wave function simulation, we analyze the detailed dissipative dynamics of the single-molecule source and the photon statistics as revealed by repeated Gedanken photon measurement on the single radiating source. We show that much of the photon statistics from the two-level single-molecule single-photon sources, including few-photon emission probability, waiting time distribution, and two-time correlation function of the fluorescent light, can be understood qualitatively from the simple picture of Rabi nutation and pi pulse in terms of pulse areas. ©2008 American Institute of Physics
History: Received 27 July 2007; accepted 28 November 2007; published 6 February 2008
Permalink: http://link.aip.org/link/?JCPSA6/128/054104/1
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KEYWORDS and PACS

Keywords
PACS
  • 33.50.Dq
    Molecular fluorescence and phosphorescence spectra
  • 33.80.-b
    Photon interactions with molecules
  • 42.50.Md
    Optical transient phenomena
  • YEAR: 2008

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0021-9606 (print)   1089-7690 (online)
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REFERENCES (50)

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  1. C. Cohen-Tannoudji, Atoms in Electromagnetic Fields, 2nd ed. (World Scientific, Singapore, 2004);
  2. D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1994).
  3. See, for example, J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001);
  4. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, ibid. 75, 281 (2003).
  5. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002);
  6. P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, ibid. 79, 135 (2007).
  7. H. J. Carmichael and D. F. Walls, J. Phys. B 9, 1199 (1976);
  8. H. J. Kimble, M. Dagenais, and L. Mandel, Phys. Rev. Lett. 39, 691 (1977);
    F. Diedrich and H. Walther, ibid. 58, 203 (1987).
  9. J. Wang and P. G. Wolynes, Phys. Rev. Lett. 74, 4317 (1995).
  10. Single-Molecule Optical Detection, Imaging and Spectroscopy, edited by T. Basche, W. E. Moerner, M. Orrit, and U. P. Wild (VCH, Weiheim, 1997).
  11. Y. Yamamoto and A. Imamoglu, Mesoscopic Quantum Optics (Wiley, New York, 1999).
  12. W. E. Moerner, J. Phys. Chem. B 106, 910 (2002);
  13. F. Kulzer and M. Orrit, Annu. Rev. Phys. Chem. 55, 585 (2004).
  14. B. Lounis and W. E. Moerner, Nature (London) 407, 491 (2000);
  15. A. Kiraz, M. Ehrl, Th. Hellerer, Ö. E. Müstecaplioglu, C. Bräuchle, and A. Zumbusch, Phys. Rev. Lett. 94, 223602 (2005).
  16. C. Kurtsiefer, S. Mayer, P. Zarda, and H. Weinfurter, Phys. Rev. Lett. 85, 290 (2000);
  17. A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, ibid. 89, 187901 (2002).
  18. C. Santori, D. Fattal, J. Vucković, G. Solomon, and Y. Yamamoto, Nature (London) 419, 594 (2002);
  19. M. Scholz, T. Aichele, S. Ramelow, and O. Benson, Phys. Rev. Lett. 96, 180501 (2006).
  20. B. Lounis and M. Orrit, Rep. Prog. Phys. 68, 1129 (2005).
  21. Y. Jung, E. Barkai, and R. J. Silbey, J. Chem. Phys. 117, 10980 (2002);
  22. R. Verberk and M. Orrit, ibid. 119, 2214 (2003).
  23. R. J. Cook, Phys. Rev. A 23, 1243 (1981);
  24. F. L. H. Brown, Phys. Rev. Lett. 90, 28302 (2003).
  25. S. Mukamel, Phys. Rev. A 68, 63821 (2003);
  26. F. Sanda and S. Mukamel, ibid. 71, 33807 (2005).
  27. Y. Zheng and F. L. H. Brown, Phys. Rev. Lett. 90, 238305 (2003);
  28. Y. He and E. Barkai, ibid. 93, 68302 (2004);
    F. L. H. Brown, Acc. Chem. Res. 39, 363 (2006).
  29. Y. He and E. Barkai, Phys. Rev. A 74, 11803 (2006);
  30. Phys. Chem. Chem. Phys. 8, 5056 (2006).
  31. A. Kuhn, M. Hennrich, and G. Rempe, Phys. Rev. Lett. 89, 67901 (2002);
  32. D. W. Berry, S. Scheel, B. C. Sanders, and P. L. Knight, Phys. Rev. A 69, 31806 (2004).
  33. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions: Basic Processes and Applications (Wiley, New York, 1992).
  34. H. J. Carmichael, An Open Systems Approach to Quantum Optics (Springer, Berlin, 1993).
  35. M. B. Plenio and P. L. Knight, Rev. Mod. Phys. 70, 101 (1998).
  36. Stochastic Quantum Optics, edited by H. J. Carmichael, Special issue of Quantum Semiclassic. Opt. 8, 47 (1996);
  37. F. E. van Dorsselaer and G. Nienhuis, J. Opt. B: Quantum Semiclassical Opt. 2, R25 (2000).
  38. G. C. Hegerfeldt, Phys. Rev. A 47, 449 (1993);
  39. R. Reibold, J. Phys. A 26, 179 (1993);
    G. C. Hegerfeldt and M. B. Plenio, Phys. Rev. A 53, 1164 (1996);
    G. C. Hegerfeldt, in Irreversible Quantum Dynamics, edited by F. Benatti and R. Floreanini (Springer, New York, 2003).
  40. C. W. Gardiner and P. Zoller, Quantum Noise, 3rd ed. (Springer, Berlin, 2004).
  41. H. M. Wiseman and G. J. Milburn, Phys. Rev. A 47, 1652 (1993);
  42. H. M. Wiseman, Quantum Semiclassic. Opt. 8, 205 (1996).
  43. J. Dalibard, Y. Castin, and K. Mølmer, Phys. Rev. Lett. 68, 580 (1992);
  44. K. Mølmer, Y. Castin, and J. Dalibard, J. Opt. Soc. Am. B 10, 524 (1993);
    K. Mølmer and Y. Castin, Quantum Semiclassic. Opt. 8, 49 (1996).
  45. C. Brunel, B. Lounis, P. Tamarat, and M. Orrit, Phys. Rev. Lett. 83, 2722 (1999);
  46. D. E. Makarov and H. Metiu, J. Chem. Phys. 115, 5989 (2001);
    Y. Zheng and F. L. H. Brown, ibid. 119, 11814 (2003).
  47. B. R. Mollow, Phys. Rev. A 12, 1919 (1975);
  48. H. J. Kimble and L. Mandel, ibid. 13, 2123 (1976).
  49. A recent study on the connection between the generating functional formalism and quantum measurement using superoperators in Liouville space was given by V. Chernyak, F. Šanda, and S. Mukamel, Phys. Rev. E 73, 36119 (2006).
  50. See, for example, the discussion in Ch. 2 of Ref. 20.
  51. G. S. Agarwal, Quantum Statistical Theory of Spontaneous Emission and Their Relation to Other Approaches (Springer, Berlin, 1974).
  52. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955);
  53. G. Lüders, Ann. Phys. 8, 323 (1951);
    E. P. Wigner, Am. J. Phys. 31, 6 (1963).
  54. C. W. Gardiner, A. S. Parkin, and P. Zoller, Phys. Rev. A 46, 4363 (1992);
  55. R. Dum, A. S. Parkin, P. Zoller, and C. W. Gardiner, ibid. 46, 4382 (1992);
    P. Zoller and C. W. Gardiner, in Quantum Fluctuations, edited by S. Reynaud, E. Giacobino, and J. Zinn-Justin (Elsevier, Amsterdam, 1997).
  56. A. Barchielli, Phys. Rev. A 34, 1642 (1986);
  57. A. Barchielli and V. P. Belavkin, J. Phys. A 24, 1495 (1991);
    V. P. Belakin, Rep. Prog. Phys. 65, 253 (2002).
  58. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
  59. Quantum Theory and Measurement, edited by J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, 1984).
  60. B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977);
  61. W. M. Itano, D. J. Heinzen, U. J. Bollinger, and D. J. Wineland, Phys. Rev. A 41, 2295 (1990).
  62. N. Gisin, Phys. Rev. Lett. 52, 1657;
  63. N. Gisin and I. C. Percival, J. Phys. A 25, 5677 (1992);
    B. M. Garraway and P. L. Knight, Phys. Rev. A 50, 2548 (1994).
  64. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).
  65. P. W. Milonni, Phys. Rep. 25, 1 (1976);
  66. D. Bouwmeester, R. J. C. Spreeuw, G. Nienhuis, and J. P. Woerdman, Phys. Rev. A 49, 4170 (1994).
  67. P. Avan and C. Cohen-Tannoudji, J. Phys. B 10, 155 (1977).
  68. P. Grangier, Nature (London) 419, 577 (2002).
  69. C. Cohen-Tannoudji and J. Dalibard, Europhys. Lett. 1, 441 (1986);
  70. P. Zoller, M. Marte, and D. F. Walls, Phys. Rev. A 35, 198 (1987).
  71. H. J. Carmichael, S. Singh, R. Vyas, and P. R. Rice, Phys. Rev. A 39, 1200 (1989).
  72. R. J. Glauber, in Quantum Optics and Electronics, edited by C. DeWitt, A. Blandin, and C. Cohen-Tannoudji (Gordon and Breach, New York, 1965).
  73. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
  74. Y. Peng, Y. Zheng, and F. L. H. Brown, J. Chem. Phys. 126, 104303 (2007);
  75. G. Bel, Y. Zhang, and F. L. H. Brown, J. Phys. Chem. B 110, 19066 (2006).
  76. P. Marte, R. Dum, R. Taieb, and P. Zoller, Phys. Rev. A 47, 1378 (1993);
  77. Y. Castin and K. Mølmer, Phys. Rev. Lett. 54, 5275 (1996).
  78. R. Kosloff, J. Phys. Chem. 92, 2087 (1988);
  79. P. Saalfrank, Chem. Phys. 211, 265 (1996).
  80. Y. Castin and K. Mølmer, Phys. Rev. A 54, 5275 (1996);
  81. H. P. Breuer, B. Kappler, and F. Petruccione, ibid. 59, 1633 (1999);
    J. Gambetta, T. Askerud, and H. M. Wiseman, ibid. 69, 52104 (2004);
    T. Yu, ibid. 69, 62107 (2004).

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