Optics and Spectroscopy

, Volume 110, Issue 5, pp 775–787 | Cite as

Quantum holography upon resonant adiabatic interaction of fields with an atomic medium in a Λ-configuration

  • K. Samburskaya
  • T. Golubeva
  • Yu. Golubev
  • E. Giacobino
Nonlinear and Quantum Optics

Abstract

We study the quantum memory protocol for spatially multimode light based on an atomic ensemble in the Λ-configuration. We analytically solve a system of partial differential equations that describe the evolution of the medium and field for the case where the interaction time considerably exceeds the lifetime of the excited state. This time ratio makes it possible to apply the adiabatic approximation. Unlike problems aimed at storage the time profile of the signal field, we propose optimizing the relation between the writing and reading times and the optical density of the medium, which ensures a high retrieval efficiency of the quantum image.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).ADSCrossRefGoogle Scholar
  2. 2.
    A. E. Kozhekin, K. Molmer, and E. Plozik, Phys. Rev. A 62, 033809 (2000).ADSCrossRefGoogle Scholar
  3. 3.
    C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490, (2001).ADSCrossRefGoogle Scholar
  4. 4.
    D. F. Philips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).ADSCrossRefGoogle Scholar
  5. 5.
    Christoph Simon et al., Eur. Phys. J. D 58, 1 (2010).ADSCrossRefGoogle Scholar
  6. 6.
    A. I. Lvovsky, B. C. Sanders, and W. Tittel, Nature Photonics 3, 706 (2009).ADSCrossRefGoogle Scholar
  7. 7.
    T. Chanelière, D. N. Matsukevich, S. D. Jenkins, S. Y. Lan, T. A. B. Kennedy, and A. Kuzmich, Nature (London) 438, 833 (2005).ADSCrossRefGoogle Scholar
  8. 8.
    M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, Nature (London) 438, 837 (2005).ADSCrossRefGoogle Scholar
  9. 9.
    C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, Nature (London) 438, 828 (2005).ADSCrossRefGoogle Scholar
  10. 10.
    I. Novikova et al., Phys. Rev. Lett. 98, 123601 (2007).CrossRefGoogle Scholar
  11. 11.
    J. Cviklinski et al., Phys. Rev. Lett. 101, 133601 (2008).ADSCrossRefGoogle Scholar
  12. 12.
    G. Hétet, M. Hosseini, B. M. Sparkes, D. Oblak, P. K. Lam, and B. C. Buchler, Opt. Lett. 33, 2323 (2008).ADSCrossRefGoogle Scholar
  13. 13.
    J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, Phys. Rev. Lett. 100, 093602 (2008).ADSCrossRefGoogle Scholar
  14. 14.
    K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, Phys. Rev. Lett. 100, 093601 (2008).ADSCrossRefGoogle Scholar
  15. 15.
    A. V. Gorshkov, A. André, M. D. Lukin, and A. S. Sorensen, Phys. Rev. A 76, 033804 (2007).ADSCrossRefGoogle Scholar
  16. 16.
    A. V. Gorshkov, A. André, M. D. Lukin, and A. S. Sorensen, Phys. Rev. A 76, 033805 (2007).ADSCrossRefGoogle Scholar
  17. 17.
    A. V. Gorshkov, A. André, M. D. Lukin, and A. S. Sorensen, Phys. Rev. A 76, 033806 (2007).ADSCrossRefGoogle Scholar
  18. 18.
    A. V. Gorshkov, T. Calarco, M. D. Lukin, and A. S. Sorensen, Phys. Rev. A 77, 043806 (2008).ADSCrossRefGoogle Scholar
  19. 19.
    K. Hammerer, A. S. Sorensen, and E. S. Polzik, Rev. Mod. Phys. 82, 1041 (2010).ADSCrossRefGoogle Scholar
  20. 20.
    O. S. Mishina, D. V. Kupriyanov, J. H. Müller, and E. S. Polzik, Phys. Rev. A 75, 042326 (2007).ADSCrossRefGoogle Scholar
  21. 21.
    G. Hétet, J. J. Longdell, A. L. Alexander, P. K. Lam, and M. J. Sellars, Phys. Rev. Lett. 100, 023601 (2008).ADSCrossRefGoogle Scholar
  22. 22.
    J. Nunn, K. Reim, K. C. Lee, V. O. Lorenz, B. J. Sussman, I. A. Walmsley, and D. Jaksch, Phys. Rev. Lett. 101, 260502 (2008).ADSCrossRefGoogle Scholar
  23. 23.
    G. Hétet, J. J. Longdell, M. J. Sellars, P. K. Lam, and B. C. Buchler, Phys. Rev. Lett. 101, 203601 (2008).ADSCrossRefGoogle Scholar
  24. 24.
    C. Simon et. al. Phys. Rev. Lett. 98, 190503 (2007).ADSCrossRefGoogle Scholar
  25. 25.
    K. F. Reim, J. Nunn, V. O. Lorenz, B. J. Sussman, K. C. Lee, N. K. Langford, D. Jaksch, and I. A. Walmsley, Nature Photonics 4, 218 (2010).ADSCrossRefGoogle Scholar
  26. 26.
    M. Hosseini, B. M. Sparkes, G. Campbell, P. K. Lam, and B. C. Buchler, arXiv:1009. 0567 (2010).Google Scholar
  27. 27.
    C. Clausen, I. Usmani, F. Bussières, N. Sangouard, M. Afzelius, H. de Riedmatten, and N. Gisin, arXiv:1009. 0489 (2010).Google Scholar
  28. 28.
    E. Saglamyurek, N. Sinclair, J. Jin, J. A. Slater, D. Oblak, F. Bussières, M. George, R. Ricken, W. Sohler, and W. Tittel, arXiv:1009. 0490 (2010).Google Scholar
  29. 29.
    D. V. Vasilyev, I. V. Sokolov, and E. S. Polzik, Phys. Rev. A 77, 020302 (2008).ADSCrossRefGoogle Scholar
  30. 30.
    D. V. Vasilyev, I. V. Sokolov, and E. S. Polzik, Phys. Rev. A 81, 020302 (2010).ADSCrossRefGoogle Scholar
  31. 31.
    T. Golubeva, Yu. Golubev, O. Mishina, A. Bramati, J. Laurat, and E. Giacobino, e-print arXiv:1012. 5016, submitted to Phys. Rev. A (2011).Google Scholar
  32. 32.
    M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, Phys. Rev. Lett. 100, 223601 (2008).ADSCrossRefGoogle Scholar
  33. 33.
    I. Novikova, N. B. Phillips, and A. Gorshkov, Phys. Rev. A 78, 021802(R) (2008).ADSCrossRefGoogle Scholar
  34. 34.
    J. Nunn, I. A. Walmsley, M. G. Raymer, K. Surmacz, F. C. Waldermann, Z. Wang, and D. Jaksch, Phys. Rev. A 75, 011401(R) (2007).ADSCrossRefGoogle Scholar
  35. 35.
    A. S. Sheremet, L. V. Gerasimov, I. M. Sokolov, D. V. Kupriyanov, O. S. Mishina, E. Giacobino, and J. Laurat, Phys. Rev. A 82, 033838 (2010).ADSCrossRefGoogle Scholar
  36. 36.
    M. I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999).ADSCrossRefGoogle Scholar
  37. 37.
    L. Davidovich, Rev. Mod. Phys. 68, 127 (1996).MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  • K. Samburskaya
    • 1
  • T. Golubeva
    • 1
  • Yu. Golubev
    • 1
  • E. Giacobino
    • 2
  1. 1.Physics FacultySt. Petersburg State UniversityPeterhof, St. PetersburgRussia
  2. 2.Laboratoire Kastler BrosselUniversité Pierre et Marie CurieParisFrance

Personalised recommendations