OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 36, Iss. 8 — Apr. 15, 2011
  • pp: 1512–1514

Quantum interference and entanglement of photons that do not overlap in time

R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal  »View Author Affiliations

Optics Letters, Vol. 36, Issue 8, pp. 1512-1514 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (170 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We discuss the possibility of quantum interferences and entanglement of photons that exist at different intervals of time, i.e., one photon being recorded before the other has been created. The corresponding two-photon correlation function is shown to violate Bell’s inequalities.

© 2011 Optical Society of America

OCIS Codes
(260.3160) Physical optics : Interference
(270.0270) Quantum optics : Quantum optics
(000.2658) General : Fundamental tests

ToC Category:
Physical Optics

Original Manuscript: February 8, 2011
Revised Manuscript: March 21, 2011
Manuscript Accepted: March 21, 2011
Published: April 15, 2011

R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, "Quantum interference and entanglement of photons that do not overlap in time," Opt. Lett. 36, 1512-1514 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987). [CrossRef] [PubMed]
  2. Y. H. Shih and C. O. Alley, Phys. Rev. Lett. 61, 2921 (1988). [CrossRef] [PubMed]
  3. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995). [CrossRef] [PubMed]
  4. M. Zukowski, A. Zeilinger, M. A. Horne, and A. K. Ekert, Phys. Rev. Lett. 71, 4287 (1993). [CrossRef] [PubMed]
  5. R. Kaltenbaek, B. Blauensteiner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, Phys. Rev. Lett. 96, 240502(2006). [CrossRef] [PubMed]
  6. J. Beugnon, M. Jones, J. Dingjan, B. Darquie, G. Messin, A. Browaeys, and P. Grangier, Nature 440, 779 (2006). [CrossRef] [PubMed]
  7. P. Maunz, D. Moehring, S. Olmschenk, K. Younge, D. Matsukevich, and C. Monroe, Nature Phys. 3, 538 (2007). [CrossRef]
  8. E. B. Flagg, A. Muller, S. V. Polyakov, A. Ling, A. Migdall, and G. S. Solomon, Phys. Rev. Lett. 104, 137401 (2010). [CrossRef] [PubMed]
  9. T. B. Pittman and J. D. Franson, Phys. Rev. Lett. 90, 240401 (2003). [CrossRef] [PubMed]
  10. A. J. Bennett, R. B. Patel, C. A. Nicoll, D. Ritchie, and A. J. Shields, Nature Phys. 5, 715 (2009). [CrossRef]
  11. P. G. Kwiat, A. M. Steinberg, and R. Y. Chiao, Phys. Rev. A 45, 7729 (1992). [CrossRef] [PubMed]
  12. T. B. Pittman, D. V. Strekalov, A. Migdall, M. H. Rubin, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 77, 1917 (1996). [CrossRef] [PubMed]
  13. J. D. Franson, Phys. Rev. Lett. 62, 2205 (1989). [CrossRef] [PubMed]
  14. A. Cabello, A. Rossi, G. Vallone, F. De Martini, and P. Mataloni, Phys. Rev. Lett. 102, 040401 (2009). [CrossRef] [PubMed]
  15. L. Mandel, Phys. Rev. A 28, 929 (1983). [CrossRef]
  16. C. Thiel, T. Bastin, J. Martin, E. Solano, J. von Zanthier, and G. S. Agarwal, Phys. Rev. Lett. 99, 133603 (2007). [CrossRef] [PubMed]
  17. J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974). [CrossRef]
  18. R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, Phys. Lett. A 374, 3405 (2010). [CrossRef]
  19. Note that to exclude communication between the two detectors during the measurement of the two photons the condition 2tR>t2−t1>tR must be satisfied. This could be fulfilled by placing the two detectors opposite to each other with respect to the two-photon sources. For example, for trapped Ca+ ions the natural linewidth of the D1 transition is γ=20 MHz and the lifetime (2πγ)−1=8 ns. If the distance between the ions and the detectors is r=1 m, then t2−t1>tR=r/c=3 ns can be easily fulfilled.

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.


Fig. 1 Fig. 2

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited