Skip to main content

Entangled Photon Generation by Quantum Dots

  • Chapter
  • First Online:
Single Semiconductor Quantum Dots

Part of the book series: NanoScience and Technology ((NANO))

Abstract

We describe recent progress in generating pairs of polarization entangled photons from the biexciton cascade of a single self-assembled quantum dot. Entanglement between the emitted photons is demonstrated by the presence of strong correlations for different orthogonal measurement bases, the invariance of the correlation to the linear polarisation basis angle and the form of the two-photon density matrix. Through cancellation of the exciton spin splitting and reduction in background emission, entanglement fidelities to the expected symmetric Bell state Ψ + exceeding 90% are achieved, along with a strong violation of Bell’s inequality. A model to describe the factors limiting the fidelity is presented. We analyse the biexciton emission for the general case of a finite fine-structure splitting in the intermediate exciton state of the cascade. This reveals that the emitted entangled two-photon state contains a phase term which is dependent on the time delay between the two emitted photons. Only for the case of zero exciton splitting are all pairs created with the same phase, leading to the highest fidelities to Ψ +. Resolving the time delay between the two photons allows a strong enhancement in the entanglement fidelity for dots with a finite exciton splitting, as well as the preparation of the Ψ - Bell state.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Article  MATH  CAS  ADS  Google Scholar 

  2. J.S. Bell, Physics 1, 195 (1964)

    Google Scholar 

  3. J.S. Bell, J. Phys. (Paris) 42, C2-41 (1981)

    Article  Google Scholar 

  4. D. Bouwmeester, A.K. Ekert, A. Zeilinger, The Physics of Quantum Information. (Springer, Berlin, 2000)

    MATH  Google Scholar 

  5. A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991)

    Article  MATH  PubMed  MathSciNet  ADS  Google Scholar 

  6. H.-J. Briegel, W. Dür, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 81, 5932 (1998)

    Article  CAS  ADS  Google Scholar 

  7. T. Yang, Q. Zhang, T.-Y. Chen, S. Lu, J. Yin, J.-W. Pan, Z.-Y. Wei, J.-R. Tian, J. Zhang, Phys. Rev. Lett. 81, 110501 (2006)

    Article  CAS  Google Scholar 

  8. E. Knill, R. Laflamme, G.J. Milburn, Nature 409, 46 (2001)

    Article  CAS  PubMed  ADS  Google Scholar 

  9. Rayleigh, Phil. Mag. 8, 477 (1879)

    Google Scholar 

  10. A.N. Boto, P. Kok, D.S. Abrams, S.L. Braunstein, C.P. Williams, J.P. Dowling, Phys. Rev. Lett. 85, 2733 (2000)

    Article  CAS  PubMed  ADS  Google Scholar 

  11. V. Giovannetti, S. Lloyd, L. Maccone, Science 306, 1330 (2004)

    Article  CAS  PubMed  ADS  Google Scholar 

  12. S. Tanzilli, H. De Riedmatten, H. Tittel, H. Zbinden, P. Baldi, M. De Micheli, D.B. Ostrowsky, N. Gisin, Elec. Lett. 37, 26 (2001)

    Article  CAS  Google Scholar 

  13. E. Edamatsu, G. Oohata, R. Shimizu, T. Itoh, Nature 431, 167 (2004)

    Article  CAS  PubMed  ADS  Google Scholar 

  14. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, A. Zeilinger, Nature 390, 575 (1997)

    Article  CAS  ADS  Google Scholar 

  15. V. Scarani, H. de Riedmatten, I. Marcikic, H. Zbinden, N. Gisin, Eur. Phys. J. D 32, 129 (2005)

    Article  CAS  ADS  Google Scholar 

  16. A. Aspect, P. Grangier, G. Roger, Phys. Rev. Lett. 47, 460 (1981)

    Article  CAS  ADS  Google Scholar 

  17. O. Benson, C. Santori, M. Pelton, T. Yamamoto, Phys. Rev. Lett. 84, 2513 (2000)

    Article  CAS  PubMed  ADS  Google Scholar 

  18. E. Moreau, I. Robert, L. Manin, V. Thierry-Mieg, J. M. Grard, I. Abram, Phys. Rev. Lett. 87 183601 (2001)

    Article  ADS  CAS  Google Scholar 

  19. R.M. Stevenson, R.M. Thompson, A.J. Shields, I. Farrer, B.E. Kardynal, D.A. Ritchie, M. Pepper, Phys. Rev. B(R) 66, 081302 (2002)

    Article  ADS  CAS  Google Scholar 

  20. C. Santori, D. Fattal, M. Pelton, G.S. Solomon, Y. Yamamoto, Phys. Rev. B 66, 045308 (2002)

    Article  ADS  CAS  Google Scholar 

  21. S.M. Ulrich, S. Strauf, P. Michler, G. Bacher, A. Forchel, Appl. Phy. Lett. 83, 1848 (2003)

    Article  CAS  ADS  Google Scholar 

  22. V.D. Kulakovskii, G. Bacher, R. Weigand, T. Kmmell, A. Forchel, E. Borovitskaya, K. Leonardi, D. Hommel, Phys. Rev. Lett. 82, 1780 (1999)

    Article  CAS  ADS  Google Scholar 

  23. O. Stier, M. Grundmann, D. Bimberg, Phys. Rev. B 59, 005688 (1999)

    Article  CAS  ADS  Google Scholar 

  24. S. Rodt, R. Heitz, A. Schliwa, R.L. Sellin, F. Guffarth, D. Bimberg, Phys. Rev. B 68, 035331 (2003)

    Article  ADS  CAS  Google Scholar 

  25. R.J. Young, R.M. Stevenson, A.J. Shields, P. Atkinson, K. Cooper, D.A. Ritchie, K.M. Groom, A.I. Tartakovskii, M.S. Skolnick, Phys. Rev. B 72 113305 (2005)

    ADS  Google Scholar 

  26. T. Inoue, T. Kita, O. Wada, M. Konno, T. Yaguchi, T. Kamino, Appl. Phys. Lett. 92, 031902 (2008)

    Article  ADS  CAS  Google Scholar 

  27. W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, A.D. Wieck, Phys. Rev. B 69, 161301 (2004)

    Article  ADS  CAS  Google Scholar 

  28. D.J.P. Ellis, R.M. Stevenson, R.J. Young, A.J. Shields, P. Atkinson, D.A. Ritchie, Appl. Phys. Lett. 90, 011907 (2007)

    Article  ADS  CAS  Google Scholar 

  29. R.M. Stevenson, R.J. Young, P. See, D. Gevaux, K. Cooper, P. Atkinson, I. Farrer, D.A. Ritchie, A.J. Shields, Phys. Rev. B 73, 033306 (2006)

    Article  ADS  CAS  Google Scholar 

  30. B.D. Gerardot, S. Seidl, P.A. Dalgarno, R.J. Warburton, D. Granados, J.M. Garcia, K. Kowalik, O. Krebs, K. Karrai, A. Badolato, P.M. Petroff, Appl. Phys. Lett. 90, 041101 (2007)

    Article  ADS  CAS  Google Scholar 

  31. K. Kowalik, O. Krebs, A. Lematre, S. Laurent, P. Senellart, P. Voisin, J.A. Gaj, Appl. Phys. Lett. 86, 041907 (2005)

    Article  ADS  CAS  Google Scholar 

  32. S. Seidl, M. Kroner, A. Hgele, K. Karrai, R.J. Warburton, A. Badolato, P.M. Petroff, Appl. Phys. Lett. 88, 203113 (2006)

    Article  ADS  CAS  Google Scholar 

  33. J. Von Neumann, Mathematical Foundation of Quantum Mechanics (Princeton University Press, Princeton, 1955)

    MATH  Google Scholar 

  34. D. Fattal, K. Inoue, J. Vučović, C. Santori, G.S. Solomon, Y. Yamamoto, Phys. Rev. Lett. 92, 37903 (2004)

    Article  ADS  CAS  Google Scholar 

  35. J.F. Clauser, M.A. Horne, A. Shimony, R.A. Holt, Phys. Rev. Lett. 23 880 (1969)

    Article  ADS  Google Scholar 

  36. R.M. Stevenson, R.J. Young, P. Atkinson, K. Cooper, D.A. Ritchie, A.J. Shields, Nature 439, 179 (2006)

    Article  CAS  PubMed  ADS  Google Scholar 

  37. R.J. Young, R.M. Stevenson, P. Atkinson, K. Cooper, D.A. Ritchie, A.J. Shields, New J. Phys. 8, 29 (2006)

    Article  ADS  CAS  Google Scholar 

  38. R. Hafenbrak, S.M. Ulrich, P. Michler, L. Wang, A. Rastelli, O.G. Schmidt, New J. Phys. 9, 315 (2007)

    Article  ADS  CAS  Google Scholar 

  39. N. Akopian, N.H. Lindner, E. Poem, Y. Berlatzky, J. Avron, D. Gershoni, B.D. Gerardot, P.M. Petroff, Phys. Rev. Lett. 96, 130501 (2006)

    Article  CAS  PubMed  ADS  Google Scholar 

  40. A.J. Bennett, R.B. Patel, A.J. Shields, K. Cooper, P. Atkinson, C.A. Nicoll, D.A. Ritchie, Appl. Phys. Lett. 92, 193503 (2008)

    Article  ADS  CAS  Google Scholar 

  41. A.J. Hudson, R.M. Stevenson, A.J. Bennett, R.J. Young, C.A. Nicoll, P. Atkinson, K. Cooper, D.A. Ritchie, A.J. Shields, Phys. Rev. Lett. 99, 266802 (2007)

    Article  CAS  PubMed  ADS  Google Scholar 

  42. R.M. Stevenson, A.J. Hudson, A.J. Bennett, R.J. Young, C.A. Nicoll, D.A. Ritchie, A.J. Shields, arXiv:0803.3947v1 [quant-ph] (2008)

    Google Scholar 

  43. E. Edamatsu, R. Shimizu, T. Itoh, Phys. Rev. Lett. 89, 213601 (2002)

    Article  PubMed  ADS  CAS  Google Scholar 

  44. P. Walther, J.-W. Pan, M. Aspelmeyer, R. Ursin, S. Gasparoni, A. Zeilinger, Nature 429, 158 (2004)

    Article  CAS  PubMed  ADS  Google Scholar 

  45. G. Khoury, H.S. Eisenberg, E.J.S. Fonesca, D. Bouwmeester, Phys. Rev. Lett. 96, 203601 (2006)

    Article  CAS  PubMed  ADS  Google Scholar 

  46. T. Nagata, R. Okamoto, J.L. O'Brian, K. Sasaki, S. Takeuchi, Science 316, 726 (2007)

    Article  CAS  PubMed  ADS  Google Scholar 

  47. R.M. Stevenson, A.J. Hudson, R.J. Young, P. Atkinson, K. Cooper, D.A. Ritchie, A.J. Shields, Opt. Express 15, 6507 (2008)

    Article  ADS  Google Scholar 

  48. J. Vučković, D. Fattal, C. Santori, G.S. Solomon, Y. Yamamoto, Appl. Phys. Lett. 82, 3596 (2003)

    Article  ADS  CAS  Google Scholar 

  49. A.J. Bennett, D. Unitt, P. Atkinson, D.A. Ritchie, A. J Shields, Opt. Express 13, 50 (2005)

    Article  CAS  PubMed  ADS  Google Scholar 

  50. M.B. Ward, O.Z. Karimov, D.C. Unitt, Z.L. Yuan, P. See, D.G. Gevaux, A.J. Shields, P. Atkinson, D.A. Ritchie, Appl. Phys. Lett. 86, 201111 (2005)

    Article  ADS  CAS  Google Scholar 

  51. C. Zinoni, B. Alloing, C. Monat, V. Zwiller, L.H. Li, A. Fiore, L. Lunghi, A. Gerardino, H. de Riedmatten, H. Zbinden, N. Gisin, Appl. Phys. Lett. 88, 131102 (2006)

    Article  ADS  CAS  Google Scholar 

  52. M.B. Ward, T. Farrow, P. See, Z.L. Yuan, O.Z. Karimov, A.J. Bennett, A.J. Shields, P. Atkinson, K. Cooper, D.A. Ritchie, Appl. Phys. Lett. 90, 063512 (2007)

    Article  ADS  CAS  Google Scholar 

  53. T. Miyazawa, K. Takemoto, Y. Sakuma, S. Hirose, T. Usuki, N. Yokoyama, M. Takatsu, Y. Arakawa, Jpn. J. Appl. Phys. 44, L620 (2005)

    Article  CAS  ADS  Google Scholar 

  54. Z. Yuan, B.E. Kardynal, R.M. Stevenson, A.J. Shields, C.J. Lobo, K. Cooper, N.S. Beattie, D.A. Ritchie, M. Pepper

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrew J. Shields .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Shields, A.J., Stevenson, R.M., Young, R.J. (2009). Entangled Photon Generation by Quantum Dots. In: Michler, P. (eds) Single Semiconductor Quantum Dots. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87446-1_7

Download citation

Publish with us

Policies and ethics