Abstract

We show that coherent multiple light scattering, or diffuse light propagation, in a disordered atomic media prepared at ultralow temperatures can be effectively delayed in the presence of a strong control field initiating a stimulated Raman process. On a relatively short time scale, when the atomic system can preserve its configuration and effects of atomic motion can be ignored, the scattered signal pulse, diffusely propagating via multiple coherent scattering through the media, can be stored in the spin subsystem through its stimulated Raman-type conversion into spin coherence. We demonstrate how this mechanism, potentially interesting for developing quantum memories, would work for the example of a coherent light pulse propagating through an alkali-metal atomic vapor under typical conditions attainable in experiments with ultracold atoms.

© 2011 Optical Society of America

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  1. E. Polzik, A. Sørensen, and K. Hammerer, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys. 82, 1041–1093 (2010).
    [CrossRef]
  2. C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
    [CrossRef]
  3. R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
    [CrossRef]
  4. I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
    [CrossRef] [PubMed]
  5. K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
    [CrossRef] [PubMed]
  6. A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
    [CrossRef]
  7. H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters for communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
    [CrossRef]
  8. D. Bouwmeester, A. Ekkert, and A. Zeilinger, The Physics of Quantum Information (Springer, 2000).
  9. N. Sangouard, C. Simon, N. Gisin, J. Laurat, R. Tualle-Brouri, and P. Grangier, “Quantum repeaters with entangled coherent states,” J. Opt. Soc. Am. B 27, A137–A145 (2010).
    [CrossRef]
  10. J. B. Brask, I. Rigas, E. S. Polzik, U. L. Andersen, and A. S. Sørensen, “A hybrid long-distance entanglement distribution protocol,” Phys. Rev. Lett. 105, 160501 (2010).
    [CrossRef]
  11. D. V. Kupriyanov, I. M. Sokolov, C. I. Sukenik, and M. D. Havey, “Coherent backscattering of light from ultra cold and optically dense atomic ensembles,” Laser Phys. Lett. 3, 223–243 (2006).
    [CrossRef]
  12. R. Kaiser, “Quantum multiple scattering,” J. Mod. Opt. 56, 2082–2088 (2009).
    [CrossRef]
  13. G. Labeyrie, “Coherent transport of light in cold atoms,” Mod. Phys. Lett. B 22, 73–99 (2008).
    [CrossRef]
  14. S. H. Autler and C. H. Townes, “Stark effect in rapidly varying fields,” Phys.Rev. 100, 703–722 (1955).
    [CrossRef]
  15. V. S. Letokhov and V. P. Chebotaev, Nonlinear Laser Spectroscopy (Springer, 1977).
  16. M. Born and E. Wolf, Principle of Optics (Pergamon, 1964).
  17. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
  18. M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
    [CrossRef]
  19. R. F. Werner, “Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model,” Phys. Rev. A 40, 4277–4281 (1989).
    [CrossRef] [PubMed]
  20. S. Massar and S. Popescu, “Optimal extraction of information from finite quantum ensembles,” Phys. Rev. Lett. 74, 1259–1263(1995).
    [CrossRef] [PubMed]
  21. V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Diffuse light scattering dynamics under conditions of electromagnetically induced transparency,” Phys. Rev. A 74, 043812 (2006).
    [CrossRef]
  22. V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Electromagnetically induced optical anisotropy of an ultracold atomic medium,” Phys Rev A 77, 033823 (2008).
    [CrossRef]
  23. I. M. Sokolov, D. V. Kupriyanov, R. G. Olave, and M. D. Havey, “Light trapping in high density ultracold atomic gases for quantum memory applications,” J. Mod. Opt. 57, 1833–1840(2010).
    [CrossRef]
  24. V. B. Beresteskii, E. M. Lifshits, and L. P. Pitaevskii, Course of Theoretical Physics: Quantum Electrodynamics (Pergamon, 1981).

2010 (6)

E. Polzik, A. Sørensen, and K. Hammerer, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys. 82, 1041–1093 (2010).
[CrossRef]

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

N. Sangouard, C. Simon, N. Gisin, J. Laurat, R. Tualle-Brouri, and P. Grangier, “Quantum repeaters with entangled coherent states,” J. Opt. Soc. Am. B 27, A137–A145 (2010).
[CrossRef]

J. B. Brask, I. Rigas, E. S. Polzik, U. L. Andersen, and A. S. Sørensen, “A hybrid long-distance entanglement distribution protocol,” Phys. Rev. Lett. 105, 160501 (2010).
[CrossRef]

I. M. Sokolov, D. V. Kupriyanov, R. G. Olave, and M. D. Havey, “Light trapping in high density ultracold atomic gases for quantum memory applications,” J. Mod. Opt. 57, 1833–1840(2010).
[CrossRef]

2009 (1)

R. Kaiser, “Quantum multiple scattering,” J. Mod. Opt. 56, 2082–2088 (2009).
[CrossRef]

2008 (4)

G. Labeyrie, “Coherent transport of light in cold atoms,” Mod. Phys. Lett. B 22, 73–99 (2008).
[CrossRef]

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef] [PubMed]

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Electromagnetically induced optical anisotropy of an ultracold atomic medium,” Phys Rev A 77, 033823 (2008).
[CrossRef]

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

2007 (2)

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
[CrossRef] [PubMed]

M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
[CrossRef]

2006 (2)

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Diffuse light scattering dynamics under conditions of electromagnetically induced transparency,” Phys. Rev. A 74, 043812 (2006).
[CrossRef]

D. V. Kupriyanov, I. M. Sokolov, C. I. Sukenik, and M. D. Havey, “Coherent backscattering of light from ultra cold and optically dense atomic ensembles,” Laser Phys. Lett. 3, 223–243 (2006).
[CrossRef]

1998 (1)

H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters for communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

1995 (1)

S. Massar and S. Popescu, “Optimal extraction of information from finite quantum ensembles,” Phys. Rev. Lett. 74, 1259–1263(1995).
[CrossRef] [PubMed]

1989 (1)

R. F. Werner, “Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model,” Phys. Rev. A 40, 4277–4281 (1989).
[CrossRef] [PubMed]

1955 (1)

S. H. Autler and C. H. Townes, “Stark effect in rapidly varying fields,” Phys.Rev. 100, 703–722 (1955).
[CrossRef]

Afzelius, M.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

Amari, A.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

Andersen, U. L.

J. B. Brask, I. Rigas, E. S. Polzik, U. L. Andersen, and A. S. Sørensen, “A hybrid long-distance entanglement distribution protocol,” Phys. Rev. Lett. 105, 160501 (2010).
[CrossRef]

Appel, J.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Autler, S. H.

S. H. Autler and C. H. Townes, “Stark effect in rapidly varying fields,” Phys.Rev. 100, 703–722 (1955).
[CrossRef]

Beresteskii, V. B.

V. B. Beresteskii, E. M. Lifshits, and L. P. Pitaevskii, Course of Theoretical Physics: Quantum Electrodynamics (Pergamon, 1981).

Born, M.

M. Born and E. Wolf, Principle of Optics (Pergamon, 1964).

Bouwmeester, D.

D. Bouwmeester, A. Ekkert, and A. Zeilinger, The Physics of Quantum Information (Springer, 2000).

Boyer de la Giroday, A.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Brask, J. B.

J. B. Brask, I. Rigas, E. S. Polzik, U. L. Andersen, and A. S. Sørensen, “A hybrid long-distance entanglement distribution protocol,” Phys. Rev. Lett. 105, 160501 (2010).
[CrossRef]

Briegel, H.-J.

H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters for communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Campbell, C. J.

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

Chebotaev, V. P.

V. S. Letokhov and V. P. Chebotaev, Nonlinear Laser Spectroscopy (Springer, 1977).

Choi, K. S.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef] [PubMed]

Cirac, J. I.

H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters for communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Datsyuk, V. M.

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Electromagnetically induced optical anisotropy of an ultracold atomic medium,” Phys Rev A 77, 033823 (2008).
[CrossRef]

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Diffuse light scattering dynamics under conditions of electromagnetically induced transparency,” Phys. Rev. A 74, 043812 (2006).
[CrossRef]

de Riedmatten, H.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Deng, H.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef] [PubMed]

Dewhurst, S. J.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Dudin, Y. O.

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

Dür, W.

H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters for communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Ekkert, A.

D. Bouwmeester, A. Ekkert, and A. Zeilinger, The Physics of Quantum Information (Springer, 2000).

Gisin, N.

N. Sangouard, C. Simon, N. Gisin, J. Laurat, R. Tualle-Brouri, and P. Grangier, “Quantum repeaters with entangled coherent states,” J. Opt. Soc. Am. B 27, A137–A145 (2010).
[CrossRef]

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Gorshkov, A. V.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
[CrossRef] [PubMed]

Grangier, P.

Hammerer, K.

E. Polzik, A. Sørensen, and K. Hammerer, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys. 82, 1041–1093 (2010).
[CrossRef]

Havey, M. D.

I. M. Sokolov, D. V. Kupriyanov, R. G. Olave, and M. D. Havey, “Light trapping in high density ultracold atomic gases for quantum memory applications,” J. Mod. Opt. 57, 1833–1840(2010).
[CrossRef]

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Electromagnetically induced optical anisotropy of an ultracold atomic medium,” Phys Rev A 77, 033823 (2008).
[CrossRef]

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Diffuse light scattering dynamics under conditions of electromagnetically induced transparency,” Phys. Rev. A 74, 043812 (2006).
[CrossRef]

D. V. Kupriyanov, I. M. Sokolov, C. I. Sukenik, and M. D. Havey, “Coherent backscattering of light from ultra cold and optically dense atomic ensembles,” Laser Phys. Lett. 3, 223–243 (2006).
[CrossRef]

Hu, C. Y.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Huang, M.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

Jelezko, F.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Jenkins, S. D.

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

Kaiser, R.

R. Kaiser, “Quantum multiple scattering,” J. Mod. Opt. 56, 2082–2088 (2009).
[CrossRef]

Kennedy, T. A. B.

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

Kimble, H. J.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef] [PubMed]

Konermann, H.

M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
[CrossRef]

Kröll, S.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Kupriyanov, D. V.

I. M. Sokolov, D. V. Kupriyanov, R. G. Olave, and M. D. Havey, “Light trapping in high density ultracold atomic gases for quantum memory applications,” J. Mod. Opt. 57, 1833–1840(2010).
[CrossRef]

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Electromagnetically induced optical anisotropy of an ultracold atomic medium,” Phys Rev A 77, 033823 (2008).
[CrossRef]

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Diffuse light scattering dynamics under conditions of electromagnetically induced transparency,” Phys. Rev. A 74, 043812 (2006).
[CrossRef]

D. V. Kupriyanov, I. M. Sokolov, C. I. Sukenik, and M. D. Havey, “Coherent backscattering of light from ultra cold and optically dense atomic ensembles,” Laser Phys. Lett. 3, 223–243 (2006).
[CrossRef]

Kuzmich, A.

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

Labeyrie, G.

G. Labeyrie, “Coherent transport of light in cold atoms,” Mod. Phys. Lett. B 22, 73–99 (2008).
[CrossRef]

Laurat, J.

N. Sangouard, C. Simon, N. Gisin, J. Laurat, R. Tualle-Brouri, and P. Grangier, “Quantum repeaters with entangled coherent states,” J. Opt. Soc. Am. B 27, A137–A145 (2010).
[CrossRef]

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef] [PubMed]

Lauritzen, B.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

Letokhov, V. S.

V. S. Letokhov and V. P. Chebotaev, Nonlinear Laser Spectroscopy (Springer, 1977).

Leuchs, G.

M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
[CrossRef]

Lifshits, E. M.

V. B. Beresteskii, E. M. Lifshits, and L. P. Pitaevskii, Course of Theoretical Physics: Quantum Electrodynamics (Pergamon, 1981).

Lindlein, N.

M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
[CrossRef]

Lukin, M. D.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
[CrossRef] [PubMed]

Maiwald, R.

M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
[CrossRef]

Mandel, L.

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

Massar, S.

S. Massar and S. Popescu, “Optimal extraction of information from finite quantum ensembles,” Phys. Rev. Lett. 74, 1259–1263(1995).
[CrossRef] [PubMed]

Matsukevich, D. N.

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

Müller, J. H.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Novikova, I.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
[CrossRef] [PubMed]

Nunn, J.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Olave, R. G.

I. M. Sokolov, D. V. Kupriyanov, R. G. Olave, and M. D. Havey, “Light trapping in high density ultracold atomic gases for quantum memory applications,” J. Mod. Opt. 57, 1833–1840(2010).
[CrossRef]

Peschel, U.

M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
[CrossRef]

Phillips, D. F.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
[CrossRef] [PubMed]

Pitaevskii, L. P.

V. B. Beresteskii, E. M. Lifshits, and L. P. Pitaevskii, Course of Theoretical Physics: Quantum Electrodynamics (Pergamon, 1981).

Polzik, E.

E. Polzik, A. Sørensen, and K. Hammerer, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys. 82, 1041–1093 (2010).
[CrossRef]

Polzik, E. S.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

J. B. Brask, I. Rigas, E. S. Polzik, U. L. Andersen, and A. S. Sørensen, “A hybrid long-distance entanglement distribution protocol,” Phys. Rev. Lett. 105, 160501 (2010).
[CrossRef]

Popescu, S.

S. Massar and S. Popescu, “Optimal extraction of information from finite quantum ensembles,” Phys. Rev. Lett. 74, 1259–1263(1995).
[CrossRef] [PubMed]

Rarity, J. G.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Rigas, I.

J. B. Brask, I. Rigas, E. S. Polzik, U. L. Andersen, and A. S. Sørensen, “A hybrid long-distance entanglement distribution protocol,” Phys. Rev. Lett. 105, 160501 (2010).
[CrossRef]

Rosenfeld, W.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Sabooni, M.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

Sangouard, N.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

N. Sangouard, C. Simon, N. Gisin, J. Laurat, R. Tualle-Brouri, and P. Grangier, “Quantum repeaters with entangled coherent states,” J. Opt. Soc. Am. B 27, A137–A145 (2010).
[CrossRef]

Shields, A. J.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Simon, C.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

N. Sangouard, C. Simon, N. Gisin, J. Laurat, R. Tualle-Brouri, and P. Grangier, “Quantum repeaters with entangled coherent states,” J. Opt. Soc. Am. B 27, A137–A145 (2010).
[CrossRef]

Sköld, N.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Sokolov, I. M.

I. M. Sokolov, D. V. Kupriyanov, R. G. Olave, and M. D. Havey, “Light trapping in high density ultracold atomic gases for quantum memory applications,” J. Mod. Opt. 57, 1833–1840(2010).
[CrossRef]

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Electromagnetically induced optical anisotropy of an ultracold atomic medium,” Phys Rev A 77, 033823 (2008).
[CrossRef]

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Diffuse light scattering dynamics under conditions of electromagnetically induced transparency,” Phys. Rev. A 74, 043812 (2006).
[CrossRef]

D. V. Kupriyanov, I. M. Sokolov, C. I. Sukenik, and M. D. Havey, “Coherent backscattering of light from ultra cold and optically dense atomic ensembles,” Laser Phys. Lett. 3, 223–243 (2006).
[CrossRef]

Sondermann, M.

M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
[CrossRef]

Sørensen, A.

E. Polzik, A. Sørensen, and K. Hammerer, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys. 82, 1041–1093 (2010).
[CrossRef]

Sørensen, A. S.

J. B. Brask, I. Rigas, E. S. Polzik, U. L. Andersen, and A. S. Sørensen, “A hybrid long-distance entanglement distribution protocol,” Phys. Rev. Lett. 105, 160501 (2010).
[CrossRef]

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
[CrossRef] [PubMed]

Stevenson, R. M.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Sukenik, C. I.

D. V. Kupriyanov, I. M. Sokolov, C. I. Sukenik, and M. D. Havey, “Coherent backscattering of light from ultra cold and optically dense atomic ensembles,” Laser Phys. Lett. 3, 223–243 (2006).
[CrossRef]

Thew, R.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Townes, C. H.

S. H. Autler and C. H. Townes, “Stark effect in rapidly varying fields,” Phys.Rev. 100, 703–722 (1955).
[CrossRef]

Tualle-Brouri, R.

Usmani, I.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

Walmsley, I. A.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Walsworth, R. L.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
[CrossRef] [PubMed]

Walther, A.

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

Weber, M. C.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Weinfurter, H.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Werner, R. F.

R. F. Werner, “Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model,” Phys. Rev. A 40, 4277–4281 (1989).
[CrossRef] [PubMed]

Wolf, E.

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

M. Born and E. Wolf, Principle of Optics (Pergamon, 1964).

Wrachtrup, J.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Young, R. J.

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

Zeilinger, A.

D. Bouwmeester, A. Ekkert, and A. Zeilinger, The Physics of Quantum Information (Springer, 2000).

Zhao, R.

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

Zoller, P.

H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters for communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Appl. Phys. B (1)

M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, “Design of a mode converter for efficient light-atom coupling in free space,” Appl. Phys. B 89, 489–492 (2007).
[CrossRef]

Eur. Phys. J. D (1)

C. Simon, M. Afzelius, J. Appel, A. Boyer de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kröll, J. H. Müller, J. Nunn, E. S. Polzik, J. G. Rarity, H. De Riedmatten, W. Rosenfeld, A. J. Shields, N. Sköld, R. M. Stevenson, R. Thew, I. A. Walmsley, M. C. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories,” Eur. Phys. J. D 58, 1–22(2010).
[CrossRef]

J. Lumin. (1)

A. Amari, A. Walther, M. Sabooni, M. Huang, S. Kröll, M. Afzelius, I. Usmani, B. Lauritzen, N. Sangouard, H. de Riedmatten, and N. Gisin, “Towards an efficient atomic frequency comb quantum memory,” J. Lumin. 130, 1579–1585 (2010).
[CrossRef]

J. Mod. Opt. (2)

R. Kaiser, “Quantum multiple scattering,” J. Mod. Opt. 56, 2082–2088 (2009).
[CrossRef]

I. M. Sokolov, D. V. Kupriyanov, R. G. Olave, and M. D. Havey, “Light trapping in high density ultracold atomic gases for quantum memory applications,” J. Mod. Opt. 57, 1833–1840(2010).
[CrossRef]

J. Opt. Soc. Am. B (1)

Laser Phys. Lett. (1)

D. V. Kupriyanov, I. M. Sokolov, C. I. Sukenik, and M. D. Havey, “Coherent backscattering of light from ultra cold and optically dense atomic ensembles,” Laser Phys. Lett. 3, 223–243 (2006).
[CrossRef]

Mod. Phys. Lett. B (1)

G. Labeyrie, “Coherent transport of light in cold atoms,” Mod. Phys. Lett. B 22, 73–99 (2008).
[CrossRef]

Nature (1)

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef] [PubMed]

Nature Phys. (1)

R. Zhao, Y. O. Dudin, S. D. Jenkins, C. J. Campbell, D. N. Matsukevich, T. A. B. Kennedy, and A. Kuzmich, “Long-lived quantum memory,” Nature Phys. 5, 100–104 (2008).
[CrossRef]

Phys Rev A (1)

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Electromagnetically induced optical anisotropy of an ultracold atomic medium,” Phys Rev A 77, 033823 (2008).
[CrossRef]

Phys. Rev. A (2)

V. M. Datsyuk, I. M. Sokolov, D. V. Kupriyanov, and M. D. Havey, “Diffuse light scattering dynamics under conditions of electromagnetically induced transparency,” Phys. Rev. A 74, 043812 (2006).
[CrossRef]

R. F. Werner, “Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model,” Phys. Rev. A 40, 4277–4281 (1989).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

S. Massar and S. Popescu, “Optimal extraction of information from finite quantum ensembles,” Phys. Rev. Lett. 74, 1259–1263(1995).
[CrossRef] [PubMed]

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98, 243602 (2007).
[CrossRef] [PubMed]

J. B. Brask, I. Rigas, E. S. Polzik, U. L. Andersen, and A. S. Sørensen, “A hybrid long-distance entanglement distribution protocol,” Phys. Rev. Lett. 105, 160501 (2010).
[CrossRef]

H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters for communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Phys.Rev. (1)

S. H. Autler and C. H. Townes, “Stark effect in rapidly varying fields,” Phys.Rev. 100, 703–722 (1955).
[CrossRef]

Rev. Mod. Phys. (1)

E. Polzik, A. Sørensen, and K. Hammerer, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys. 82, 1041–1093 (2010).
[CrossRef]

Other (5)

D. Bouwmeester, A. Ekkert, and A. Zeilinger, The Physics of Quantum Information (Springer, 2000).

V. S. Letokhov and V. P. Chebotaev, Nonlinear Laser Spectroscopy (Springer, 1977).

M. Born and E. Wolf, Principle of Optics (Pergamon, 1964).

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

V. B. Beresteskii, E. M. Lifshits, and L. P. Pitaevskii, Course of Theoretical Physics: Quantum Electrodynamics (Pergamon, 1981).

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Figures (6)

Fig. 1
Fig. 1

Geometry of the proposed experiment and the excitation scheme, see text. The diffuse propagation of a signal mode of frequency ω is indicated by pink thin lines and arrows. The diffusion process is affected by a strong control mode of frequency ω c indicated by red and thick arrows.

Fig. 2
Fig. 2

Dielectric susceptibility of the sample χ ( Δ ) = χ ( Δ ) + i χ ( Δ ) as a function of frequency detuning Δ = ω ω 43 in units of n 0 ƛ 3 = n 0 ( c / ω ) 3 . Upper and lower panels show the absorptive and dispersive components of the susceptibility tensor in the case of linear and orthogonal polarizations of the signal and control modes, respectively, see geometry shown in panel (a) of Fig. 3.

Fig. 3
Fig. 3

(a): Pulse spectrum versus AT resonance and polarization directions for the control e c and signal e modes propagating along the Y direction, see Fig. 1. (b)–(d): Fragment of the signal pulse α ( t ) with wave vector k generated by single scattering from the central point of the cloud in the directions X (b), Y (c), and Z (d). The blue curves indicate the effect of elastic Rayleigh (Rl, solid) and Raman (Rm, dashed) scattering without the action of the control mode. The pink curves show the corresponding scattering and delay in the presence of the control mode. Comparison of the reference input profile (shadowed) and the scattered light shows superluminal propagation of the scattered light in the spectral domain of anomalous dispersion, see Fig. 2. The delay manifests itself in the long time asymptote of the pulse tail.

Fig. 4
Fig. 4

Equivalent scheme for the quantum memory channel. The signal single photon pulse passes through a beam splitter, with transmittance equal to the efficiency of the memory channel. The additional noise is admixed via sending the thermal light onto the second port of the beams plitter.

Fig. 5
Fig. 5

Bell-type measurement based on antibunching of the photon pair passed through a beam splitter. In the standard measurement scheme (a) both the photons should arrive to the input ports simultaneously. With the quantum memories, (b) the measurement can be postponed such that the photons could arrive at any time.

Fig. 6
Fig. 6

Scheme of excitation of Rb 85 , when the signal mode (dashed arrow lines) is orthogonally polarized to the control mode (gray arrow lines). The control mode is linearly polarized and the quantization axis Z is directed along its polarization, see Fig. 1, 3a.

Equations (15)

Equations on this page are rendered with MathJax. Learn more.

D μ ν ( E ) ( r , t ; r , t ) = E ν ( ) ( r , t ) E μ ( + ) ( r , t ) ,
χ i j ( ω ) = χ 0 ( ω ) δ i j + χ i j ( AT ) ( ω ) , i , j = ( x , y , z ) ,
I ( t ) = n = 0 I ( n ) ( t ) ,
n ( r ) = n 0 exp ( r 2 2 r 0 2 ) .
α ( t ) = 2 ( 2 π T 2 ) 1 / 4 exp [ i Δ t 4 ( t T ) 2 T 2 ] ,
W ( 1 ) ( α ) = 8 π [ | α | 2 1 4 ] e 2 | α | 2 ,
W ( α ) = 4 π ( n ¯ + 1 / 2 ) [ η | α | 2 4 ( n ¯ + 1 / 2 ) 2 1 4 + n ¯ + ( 1 η ) / 2 2 ( n ¯ + 1 / 2 ) ] exp [ | α | 2 n ¯ + 1 / 2 ] ,
ρ ^ = x | ψ | ψ | + 1 x 2 I ^ ,
| Ψ = 1 2 [ | , | , , ] ,
χ ^ = ( χ 0 0 0 χ 0 0 0 χ ) ,
χ j ( r ; ω ) = n ( r ) 1 2 F 0 + 1 m n , n 1 ( d e j ) n m * ( d e j ) n m G n n ( −- ) ( ω + E m + i 0 ) ,
G n n ( −- ) ( E ) = δ n n E E n + i γ / 2 ,
n [ ( E E n + i γ 2 ) δ n n V n m V n m * E ω c E m ] G n n ( −- ) ( E ) = δ n n ,
e 0 = e Z , e ± 1 = e X ± i e Y 2 ,
α ^ p q ( m m ) ( ω ) α p q ( m m ) ( ω ) | m m | = n , n 1 ( d p ) m n ( d q ) n m × G n n ( −- ) ( ω + E m + i 0 ) | m m | ,

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