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Spatial Entanglement in Optical Parametric Down-Conversion

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Abstract

This chapter and Chapter 5 constitute a direct continuation of Chapter 1, with a description of the developments in the continuous variable approach to quantum imaging, achieved in the framework of QUANTIM. Whereas Chapter 2 treats the traveling-wave configuration for PDC, the discussion of Chapter 5 focuses on the cavity configuration of optical parametric oscillators. The structure of this chapter is as follows. Section 2.2 presents the theoretical picture of spatial entanglement in type-II materials. Contrary to most literature on PDC, the emphasis is on the high-gain regime. Section 2.3 describes the experimental observations of those theoretical predictions outlined in Section 2.2, which concern the quantum correlations in the far field, with an associated phenomenon of photon antibunching in space. In the final Section 2.4 we illustrate the multiphoton, multimode polarization entanglement in the high-gain PDC. Instead of considering the standard polarization entanglement in single pairs of signal–idler photons, we focus on collective polarization entanglement properties at the macroscopic level.

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References

  1. E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).

    Article  ADS  Google Scholar 

  2. M. I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999), and references quoted therein.

    Article  ADS  Google Scholar 

  3. A. Gatti, R. Zambrini, M. San Miguel, and L. A. Lugiato, Phys. Rev. A 68, 053807 (2003).

    Article  ADS  Google Scholar 

  4. P. Scotto and M. San Miguel, Phys. Rev. A 65, 42811 (2002).

    Article  Google Scholar 

  5. A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 90, 133603 (2003).

    Article  ADS  Google Scholar 

  6. M. J. Werner, M. G. Raymer, M. Beck, and P. D. Drummond Phys. Rev. A 52, 4202 (1995); M. J. Werner and P. D. Drummond, Phys. Rev. A 56, 1508 (1997).

    Article  ADS  Google Scholar 

  7. In the simulations we made use of a reliable Gaussian random number generator which is discussed in R. Toral, A. Chakrabarti, Comput. Phys. Comm., 74, 327 (1993).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. See, e.g., W. Press, B. Flannery, S. Teukolsky, W. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1992).

    Google Scholar 

  9. B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, and M. C. Teich, Opt. Expr. 3, 81 (1998).

    Article  ADS  Google Scholar 

  10. A. Berzanskis, W. Chinaglia, L. A. Lugiato, K. H. Feller, and P. Di Trapani, Phys. Rev. A 60, 1626 (1999).

    Article  ADS  Google Scholar 

  11. O. Jedrkiewicz, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601 (2004).

    Article  ADS  Google Scholar 

  12. O. Jedrkiewicz, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, J. Mod. Opt., 53, 575 (2006).

    Article  ADS  Google Scholar 

  13. L. A. Lugiato, A. Gatti and E. Brambilla, J. Opt. B: Quant. Semiclass. Opt. 4, S176 (2002), and references therein.

    Article  ADS  Google Scholar 

  14. D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).

    Article  ADS  Google Scholar 

  15. F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato Phys. Rev. Lett. 94, 183602 (2005).

    Article  ADS  Google Scholar 

  16. R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).

    Article  ADS  Google Scholar 

  17. W. A. T. Nogueira, S. P. Walborn, S. Padua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).

    Article  ADS  Google Scholar 

  18. J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd Phys. Rev. Lett. 92, 210403 (2004).

    Article  ADS  Google Scholar 

  19. A. Gatti, E. Brambilla, L. A. Lugiato, and M. I. Kolobov, Phys. Rev. Lett. 83, 1763 (1999); E. Brambilla, A. Gatti, L. A. Lugiato, and M. I. Kolobov, Eur. Phys. J. D 15, 117 (2001).

    Article  ADS  Google Scholar 

  20. O. Aytur and P. Kumar, Phys. Rev. Lett. 65, 1551 (1990).

    Article  ADS  Google Scholar 

  21. B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, and M. C. Teich, Opt. Express 81, 3 (1998).

    Google Scholar 

  22. S. S. R. Oemrawsingh, W. J. van Drunen, E. R. Eliel, and J. P. Woerdman, J. Opt. Soc. Am. B 19, 2391 (2002).

    Article  ADS  Google Scholar 

  23. N. Treps, U. Andersen, B. Buchler, P. K. Lam, A. Maître, H.-A. Bachor, and C. Fabre, Phys. Rev. Lett. 88, 203601, (2002).

    Article  ADS  Google Scholar 

  24. A. Mosset, F. Devaux, and E. Lantz, Phys. Rev. Lett. 94, 223603 (2005).

    Article  ADS  Google Scholar 

  25. J. R. Janesick, Scientific Charge-Coupled Devices (SPIE Bellingham, WA, 2001), pp. 204–205; see also http://www.roperScientific.de/theory.html.

    Google Scholar 

  26. Y.-K. Jiang, O. Jedrkiewicz, S. Minardi, P. Di Trapani, A. Mosset, E. Lantz, and F. Devaux, Eur. Phys. J. D 22, 521 (2003).

    Article  ADS  Google Scholar 

  27. A. Mosset, F. Devaux, G. Fanjoux, and E. Lantz, Eur. Phys. J. D 28, 447 (2004).

    Article  ADS  Google Scholar 

  28. J. W. Goodman, Statistical Optics (Wiley Classics Library, New York, 2000).

    Google Scholar 

  29. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992), p. 151.

    Google Scholar 

  30. P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, Phys. Rev. Lett. 80, 265 (1998).

    Article  ADS  Google Scholar 

  31. I. Marzoli, A. Gatti, and L. A. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).

    Article  ADS  Google Scholar 

  32. L. A. Lugiato, A. Gatti, H. Ritsch, I. Marzoli, and G.-L. Oppo, J. Mod. Opt. 44, 1899 (1997).

    Article  ADS  Google Scholar 

  33. C. Szwaj, G.-L. Oppo, A. Gatti, and L. A. Lugiato, Eur. Phys. J. D 10, 433 (2000).

    Article  ADS  Google Scholar 

  34. W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002); W. P. Bowen, N. Treps, R. Schnabel, and P. K. Lam, Phys. Rev. Lett. 89, 253601 (2002); R. Schnabel, W. P. Bowen, N. Treps, T. C. Ralph, H.-A. Bachor, and P. K. Lam, Phys. Rev. A67, 012316 (2003).

    Article  ADS  Google Scholar 

  35. N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002); e-print quant-ph/0108098.

    Article  ADS  Google Scholar 

  36. J. Hald, J. L. Sorensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).

    Article  ADS  Google Scholar 

  37. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).

    Article  ADS  Google Scholar 

  38. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter and A. Zeilinger, Nature (London) 390, 575 (1997); D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, Phys. Rev. Lett. 80, 1121 (1998).

    Article  ADS  Google Scholar 

  39. A. V. Sergienko, M. Atatüre, Z. Walton, G. Jaeger, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 60, R2622 (1999); T. Jennewein, C. Simon, G. Weihs, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 84, 4729 (2000).

    Article  ADS  Google Scholar 

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Gatti, A., Brambilla, E., Jedrkiewicz, O., Lugiato, L.A. (2007). Spatial Entanglement in Optical Parametric Down-Conversion. In: Kolobov, M.I. (eds) Quantum Imaging. Springer, New York, NY. https://doi.org/10.1007/0-387-33988-4_2

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