OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2347–2356

Quantum diffraction of biphotons at a blazed grating

Martin Ostermeyer, Dirk Puhlmann, and Dietmar Korn  »View Author Affiliations

JOSA B, Vol. 26, Issue 12, pp. 2347-2356 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (957 KB) Open Access

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Correlations between photons are interesting for a number of applications and concepts in metrology, in particular for resolution improvements in different methods of quantum imaging. We demonstrate the application of a blazed grating for the characterization of the degree of spatial correlation of biphotons. The biphotons are generated by type II parametric downconversion. Compared to an ordinary transmission grating, a blazed grating shows a high diffraction efficiency only for a single order of diffraction. Thus, higher intensities in the Fraunhofer far field behind the grating, and easier photon counting, can be achieved. The distribution of the two-photon rate in the Fraunhofer far field of the blazed grating can show one additional order of diffraction with a visibility related to the degree of correlation of the biphotons. The number of spatial modes that are populated by the biphoton beam can be directly altered in our experiments. The relation of the spatial mode order of the photon propagation to the observable degree of spatial correlation of the biphotons is investigated and related to the Schmidt number of spatially entangled modes.

© 2009 Optical Society of America

OCIS Codes
(270.0270) Quantum optics : Quantum optics
(270.1670) Quantum optics : Coherent optical effects
(270.4180) Quantum optics : Multiphoton processes

ToC Category:
Quantum Optics

Original Manuscript: July 17, 2009
Revised Manuscript: September 19, 2009
Manuscript Accepted: October 9, 2009
Published: November 18, 2009

Martin Ostermeyer, Dirk Puhlmann, and Dietmar Korn, "Quantum diffraction of biphotons at a blazed grating," J. Opt. Soc. Am. B 26, 2347-2356 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Jacobson, G. Björk, I. Chuang, and Y. Yamamoto, “Photonic de Broglie waves,” Phys. Rev. Lett. 74, 4835 (1995). [CrossRef] [PubMed]
  2. E. J. S. Fonseca, C. H. Monken, and S. Padua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82, 2868 (1999). [CrossRef]
  3. A. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Double slit interference of biphotons generated in spontaneous parametric down conversion from a thick crystal,” Acoust. Hologr. 3, 50 (2001).
  4. R. Shimizu, K. Edamatsu, and T. Itoh, “Quantum diffraction and interference of spatially correlated photon pairs generated by spontaneous parametric down conversion,” Phys. Rev. A 67, 041805(R) (2003). [CrossRef]
  5. A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit,” Phys. Rev. Lett. 85, 2733-2736 (2000). [CrossRef] [PubMed]
  6. K. Edamatsu, R. Shimizu, and T. Itoh, “Measurement of the photonic deBroglie wavelength of entangled photon pairs generated by spontanous parametric down-conversion,” Phys. Rev. Lett. 89, 213601 (2002). [CrossRef] [PubMed]
  7. F. Sciarrino, C. Vitelli, F. De Martini, R. Glasser, H. Cable, and J. P. Dowling, “Experimental sub-Rayleigh resolution by an unseeded high-gain optical parametric amplifier for quantum lithography,” Phys. Rev. A 77, 012324 (2008). [CrossRef]
  8. M. D'Angelo, M. V. Chekhova, and Y. Shih, “Two-photon diffraction and quantum lithography,” Phys. Rev. Lett. 87, 013602 (2001). [CrossRef] [PubMed]
  9. H. J. Chang, H. Shin, M. N. O'Sullivan-Hale, and R. W. Boyd, “Implementation of sub-Rayleigh lithography using an N-photon absorber,” J. Mod. Opt. 53, 2271-2277 (2006). [CrossRef]
  10. P. Walther, J. W. Pan, M. Aspelmeyer, R. Ursin, S. Gasparoni, and A. Zeilinger, “De Broglie wavelength of a non-local four-photon state,” Nature 429, 158-161 (2004). [CrossRef] [PubMed]
  11. Quantum Imaging, Special Issue, J.Dowling, A.Gatti, and A.Sergienko, Eds., J. Mod. Opt. 53(5-6) (2006).
  12. Y. Shih, “Quantum imaging,” IEEE J. Sel. Top. Quantum Electron. 13, 1016 (2007). [CrossRef]
  13. H. B. Fei, B. M. Jost, S. Popescu, B. E. A. Saleh, and M. C. Teich, “Entanglement-induced two-photon transparency,” Phys. Rev. Lett. 78, 1679-1682 (1997). [CrossRef]
  14. R. Shimizu, K. Edamatsu, and T. Itoh, “Quantum diffraction and interference of spatially correlated photon pairs and its Fourier-optical analysis,” Phys. Rev. A 74, 013801 (2006). [CrossRef]
  15. E. Hecht, Chapter 10.2 in Optics, 4th Ed. (Addison Wesley, 2002).
  16. A. Eckert and P. L. Knight, “Entangled quantum systems and the Schmidt decomposition,” Am. J. Phys. 5, 415-423 (1995). [CrossRef]
  17. A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, “Interference effects in spontaneous two-photon parametric scattering from two macroscopic regions,” Phys. Rev. A 56, 3214-3225 (1997). [CrossRef]
  18. J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontanous parametric down conversion,” Phys. Rev. Lett. 92, 210403 (2004). [CrossRef] [PubMed]
  19. Y. Shih, “Entangled biphoton source-property and preparation,” Rep. Prog. Phys. 66, 1009-1044 (2003). [CrossRef]
  20. C. H. Monken, P. H. Souto Ribeiro, and S. Padua, “Transfer of angular spectrum and parametric down-conversion,” Phys. Rev. A 57, 3123 (1998). [CrossRef]
  21. M. V. Fedorov, M. A. Efremov, P. A. Volov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, “Anisotropically and high entanglement of biphoton states generated in spontaneous parametric downconversion,” Phys. Rev. Lett. 99, 063901 (2007). [CrossRef] [PubMed]
  22. B. E. A. Saleh, A. Abouraddy, A. V. Sergienko, and M. C. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000). [CrossRef]
  23. W. H. Peeters, J. I. Renema, and M. O. van Exter, “Engineering of two-photon spatial quantum correlations behind a double slit,” Phys. Rev. A 79, 043817 (2009). [CrossRef]
  24. P. G. Kwiat, K. Mattle, H. Weinfurter, and A. Zeilinger, “New high intensity source of polarization entangled photon pairs,” Phys. Rev. Lett. 75, 337 (1995). [CrossRef]
  25. See C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044-2046 (1987) for Hong-Ou-Mandel (HOM) interference. In our setup HOM interference for photons from type II parametric downconversion is used in an analogous way as used in K. Mattle, H. Weinfurter, P. G. Kwiat, and A. Zeilinger, “Dense coding in experimental quantum communication,” Phys. Rev. Lett. 76, 4656 (1996). [CrossRef] [PubMed]
  26. C. Kurtsiefer, M. Oberparleiter, and H. Weinfurter, “High efficiency entangled photon pair collection in type II parametric fluorescence,” Phys. Rev. A 64, 023802 (2001). [CrossRef]
  27. M. P. van Exter, A. Aiello, S. S. R. Oemrawsingh, G. Nienhuis, and J. P. Woerdman, “Effect of spatial filtering on the Schmidt decomposition of entangled photons,” Phys. Rev. A 74, 012309 (2006). [CrossRef]
  28. M. Ostermeyer, D. Korn, D. Puhlmann, C. Henkel, and J. Eisert, “Two-dimensional characterization of spatially entangled photon pairs,” J. Mod. Opt., DOI:10.1080/09500340903359962.
  29. C. K. Law and J. H. Eberly, “Analysis and interpretation of high transverse entanglement in optical parametric down conversion,” Phys. Rev. Lett. 92, 127903 (2004). [CrossRef] [PubMed]
  30. C. K. Law, I. A. Walmsley, and J. H. Eberly, “Analysis and interpretation of high transverse entanglement in optical parametric down conversion,” Phys. Rev. Lett. 84, 5304 (2000). [CrossRef] [PubMed]
  31. S. Mancini, V. Giovannetti, D. Vitali, and P. Tombesi, “Entangling macroscopic oscillators exploting radition pressure,” Phys. Rev. Lett. 88, 120401 (2000). [CrossRef]
  32. G. Brida, V. Caricato, M. Genovese, M. Gramegna, M. V. Fedorov, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons,” arXiv:0904.3009.
  33. L. M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Inseparability criterion for continuous variable systems,” Phys. Rev. Lett. 84, 2722-2725 (2000). [CrossRef] [PubMed]
  34. M. Ostermeyer, D. Korn, and D. Puhlmann, “Two dimensional characterization of space momentum entangled photon pairs,” arXiv:0905.4830.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited