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Biphoton Pulse Shaping

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All-Optical Signal Processing

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 194))

Abstract

Recent research has demonstrated how classical optical signal-processing techniques can be extended to nonclassical entangled-photon states, permitting unprecedented control of the time-frequency correlations shared by these light quanta. In this chapter, we introduce the basic theory behind such biphoton pulse shaping and highlight several key experiments conducted in this field. Our emphasis is not only on how entangled photons benefit from these traditionally classical techniques, but also how their specifically quantum properties produce interesting effects not observable with classical fields. We consider both Fourier-transform pulse shaping, which relies on programmable spectral filtering, and electro-optic modulation, in which the temporal phase or amplitude of the biphoton is manipulated by an electrical signal. Both avenues of research have facilitated new insights into biphoton correlations and look to play an important role in the future of quantum state manipulation and the next generation of quantum communication networks.

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References

  1. R. Hanbury Brown, R.Q. Twiss, Nature 177, 27 (1956)

    Google Scholar 

  2. R. Hanbury Brown, R.Q. Twiss, Nature 178, 1046 (1956)

    Google Scholar 

  3. M. Chekhova, Progress in Optics (Elsevier, New York, 2011), vol. 56, chap. 4

    Google Scholar 

  4. E. Brannen, H.I.S. Fergusen, Nature 178, 481 (1956)

    Article  ADS  Google Scholar 

  5. R. Hanbury Brown, R.Q. Twiss, Nature 178, 1447 (1956)

    Google Scholar 

  6. E.M. Purcell, Nature 178, 1449 (1956)

    Article  ADS  Google Scholar 

  7. P. Fellgett, Nature 179, 956 (1957)

    Article  ADS  Google Scholar 

  8. R.J. Glauber, Phys. Rev. 130, 2529 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  9. R.J. Glauber, Phys. Rev. 131, 2766 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  10. Y. Shih, Rep. Prog. Phys. 66, 1009 (2003)

    Article  ADS  Google Scholar 

  11. A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935)

    Article  ADS  MATH  Google Scholar 

  12. A. Aspect, Nature 398, 189 (1999)

    Article  ADS  Google Scholar 

  13. N. Gisin, G. Ribordy, W. Tittel, H. Zbinden, Rev. Mod. Phys. 74, 145 (2002)

    Article  ADS  Google Scholar 

  14. A.M. Weiner, Ultrafast Optics (Wiley, Hoboken, NJ, 2009)

    Book  Google Scholar 

  15. A.M. Weiner, J.P. Heritage, E.M. Kirschner, J. Opt. Soc. Am. B 5, 1563 (1988)

    Article  ADS  Google Scholar 

  16. A.M. Weiner, Opt. Commun. 284, 3669 (2011)

    Article  ADS  Google Scholar 

  17. A.M. Weiner, Rev. Sci. Instr. 71, 1929 (2000)

    Article  ADS  Google Scholar 

  18. S.T. Cundiff, A.M. Weiner, Nat. Photon. 4, 760 (2010)

    Article  ADS  Google Scholar 

  19. G.L. Li, P.K.L. Yu, J. Lightw. Technol. 21, 2010 (2003)

    Article  ADS  Google Scholar 

  20. A.J. Metcalf, V. Torres-Company, D.E. Leaird, A.M. Weiner, IEEE J. Sel. Top. Quantum Electron. 19, 3500306 (2013)

    Article  Google Scholar 

  21. E.L. Wooten, K.M. Kissa, A. Yi-Yan, E.J. Murphy, D.A. Lafaw, P.F. Hallemeier, D. Maack, D.V. Attanasio, D.J. Fritz, G.J. McBrien, D.E. Bossi, IEEE J. Sel. Top. Quantum Electron. 6, 69 (2000)

    Article  Google Scholar 

  22. B.H. Kolner, IEEE J. Quantum Electron. 30, 1951 (1994)

    Article  ADS  Google Scholar 

  23. Z. Jiang, C.B. Huang, D.E. Leaird, A.M. Weiner, Nat. Photon. 1, 463 (2007)

    Article  ADS  Google Scholar 

  24. V.R. Supradeepa, C.M. Long, R. Wu, F. Ferdous, E. Hamidi, D.E. Leaird, A.M. Weiner, Nat. Photon. 6, 186 (2012)

    Article  ADS  Google Scholar 

  25. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, UK, 1995)

    Book  Google Scholar 

  26. J.M. Lukens, A. Dezfooliyan, C. Langrock, M.M. Fejer, D.E. Leaird, A.M. Weiner, Phys. Rev. Lett. 111, 193603 (2013)

    Article  ADS  Google Scholar 

  27. J.D. Franson, Phys. Rev. A 45, 3126 (1992)

    Article  ADS  Google Scholar 

  28. S.E. Harris, Phys. Rev. A 78, 021807 (2008)

    Article  ADS  Google Scholar 

  29. P. Kolchin, C. Belthangady, S. Du, G.Y. Yin, S.E. Harris, Phys. Rev. Lett. 101, 103601 (2008)

    Article  ADS  Google Scholar 

  30. B. Dayan, Y. Bromberg, I. Afek, Y. Silberberg, Phys. Rev. A 75, 043804 (2007)

    Article  ADS  Google Scholar 

  31. E. Poem, Y. Gilead, Y. Lahini, Y. Silberberg, Phys. Rev. A 86, 023836 (2012)

    Article  ADS  Google Scholar 

  32. J.M. Lukens, A. Dezfooliyan, C. Langrock, M.M. Fejer, D.E. Leaird, A.M. Weiner, Opt. Lett. 38, 4652 (2013)

    Article  ADS  Google Scholar 

  33. B. Dayan, A. Pe’er, A.A. Friesem, Y. Silberberg, Phys. Rev. Lett. 94, 043602 (2005)

    Article  ADS  Google Scholar 

  34. B. Dayan, Phys. Rev. A 76, 043813 (2007)

    Article  ADS  Google Scholar 

  35. A. Pe’er, B. Dayan, A.A. Friesem, Y. Silberberg, Phys. Rev. Lett. 94, 073601 (2005)

    Article  ADS  Google Scholar 

  36. F. Zäh, M. Halder, T. Feurer, Opt. Express 16, 16452 (2008)

    Article  ADS  Google Scholar 

  37. J.D. Franson, Phys. Rev. Lett. 62, 2205 (1989)

    Article  ADS  Google Scholar 

  38. L. Mandel, Rev. Mod. Phys. 71, S274 (1999)

    Article  Google Scholar 

  39. C. Bernhard, B. Bessire, T. Feurer, A. Stefanov, Phys. Rev. A 88, 032322 (2013)

    Article  ADS  Google Scholar 

  40. M.A.F. Roelens, S. Frisken, J.A. Bolger, D. Abakoumov, G. Baxter, S. Poole, B.J. Eggleton, J. Lightw. Technol. 26, 73 (2008)

    Article  ADS  Google Scholar 

  41. J.M. Lukens, O. Odele, C. Langrock, M.M. Fejer, D.E. Leaird, A.M. Weiner, Opt. Express 22, 9585 (2014)

    Article  ADS  Google Scholar 

  42. V. Torres-Company, J. Lancis, H. Lajunen, A.T. Friberg, Phys. Rev. A 84, 033830 (2011)

    Article  ADS  Google Scholar 

  43. C. Belthangady, S. Du, C.S. Chuu, G.Y. Yin, S.E. Harris, Phys. Rev. A 80, 031803 (2009)

    Article  ADS  Google Scholar 

  44. S.Y. Baek, Y.W. Cho, Y.H. Kim, Opt. Express 17, 19241 (2009)

    Article  ADS  Google Scholar 

  45. K.A. O’Donnell, Phys. Rev. Lett. 106, 063601 (2011)

    Article  ADS  Google Scholar 

  46. S.E. Harris, Phys. Rev. Lett. 98, 063602 (2007)

    Article  ADS  Google Scholar 

  47. Z. Jiang, S.D. Yang, D.E. Leaird, A.M. Weiner, Opt. Lett. 30, 1449 (2005)

    Article  ADS  Google Scholar 

  48. J.M. Lukens, D.E. Leaird, A.M. Weiner, Nature 498, 205 (2013)

    Article  ADS  Google Scholar 

  49. S. Sensarn, G.Y. Yin, S.E. Harris, Phys. Rev. Lett. 103, 163601 (2009)

    Article  ADS  Google Scholar 

  50. J.P. Heritage, A.M. Weiner, IEEE J. Sel. Top. Quantum Electron. 13, 1351 (2007)

    Article  Google Scholar 

  51. R. Pickholtz, D. Schilling, L. Milstein, IEEE Trans. Commun. 30, 855 (1982)

    Article  Google Scholar 

  52. Z. Zheng, A.M. Weiner, Opt. Lett. 25, 984 (2000)

    Article  ADS  Google Scholar 

  53. Z. Zheng, A.M. Weiner, K.R. Parameswaran, M.H. Chou, M.M. Fejer, IEEE Photon. Technol. Lett. 13, 376 (2001)

    Article  ADS  Google Scholar 

  54. R. Kaltenbaek, J. Lavoie, D.N. Biggerstaff, K.J. Resch, Nat. Phys. 4, 864 (2008)

    Article  Google Scholar 

  55. R. Kaltenbaek, J. Lavoie, K.J. Resch, Phys. Rev. Lett. 102, 243601 (2009)

    Article  ADS  Google Scholar 

  56. R. Prevedel, K.M. Schreiter, J. Lavoie, K.J. Resch, Phys. Rev. A 84, 051803 (2011)

    Article  ADS  Google Scholar 

  57. J.M. Lukens, A. Dezfooliyan, C. Langrock, M.M. Fejer, D.E. Leaird, A.M. Weiner, Phys. Rev. Lett. 112, 133602 (2014)

    Article  ADS  Google Scholar 

  58. C. Belthangady, C.S. Chuu, I.A. Yu, G.Y. Yin, J.M. Kahn, S.E. Harris, Phys. Rev. Lett. 104, 223601 (2010)

    Article  ADS  Google Scholar 

  59. R.H. Hadfield, Nat. Photon. 3, 696 (2009)

    Article  ADS  Google Scholar 

  60. O. Kuzucu, F.N.C. Wong, S. Kurimura, S. Tovstonog, Phys. Rev. Lett. 101, 153602 (2008)

    Article  ADS  Google Scholar 

  61. J.M. Donohue, M. Agnew, J. Lavoie, K.J. Resch, Phys. Rev. Lett. 111, 153602 (2013)

    Article  ADS  Google Scholar 

  62. J. Mower, Z. Zhang, P. Desjardins, C. Lee, J.H. Shapiro, D. Englund, Phys. Rev. A 87, 062322 (2013)

    Article  ADS  Google Scholar 

  63. J. Nunn, L.J. Wright, C. Söller, L. Zhang, I.A. Walmsley, B.J. Smith, Opt. Express 21, 15959 (2013)

    Article  ADS  Google Scholar 

  64. C.K. Law, I.A. Walmsley, J.H. Eberly, Phys. Rev. Lett. 84, 5304 (2000)

    Article  ADS  Google Scholar 

  65. C.K. Law, J.H. Eberly, Phys. Rev. Lett. 92, 127903 (2004)

    Article  ADS  Google Scholar 

  66. I. Ali-Khan, C.J. Broadbent, J.C. Howell, Phys. Rev. Lett. 98, 060503 (2007)

    Article  ADS  Google Scholar 

  67. J. Leach, E. Bolduc, D.J. Gauthier, R.W. Boyd, Phys. Rev. A 85, 060304 (2012)

    Article  ADS  Google Scholar 

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Correspondence to Joseph M. Lukens .

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Lukens, J.M., Weiner, A.M. (2015). Biphoton Pulse Shaping. In: Wabnitz, S., Eggleton, B. (eds) All-Optical Signal Processing. Springer Series in Optical Sciences, vol 194. Springer, Cham. https://doi.org/10.1007/978-3-319-14992-9_13

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