Abstract

We describe the observation of a sharp leading-edge spike in a biphoton wave packet that is produced using slow light and measured by two-photon correlation. Using the stationary-phase approximation we characterize this spike as a Sommerfeld–Brillouin precursor resulting from the interference of low- and high-frequency spectral components.

© 2008 Optical Society of America

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References

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  1. L. Brillouin, Wave Propagation and Group Velocity (Academic, 1960).
  2. W. R. LeFew, S. Venakides, and D. J. Gauthier, arXiv:0705.4238 [physics.optics].
  3. H. Jeong, A. M. C. Dawes, and D. J. Gauthier, Phys. Rev. Lett. 96, 143901 (2006).
    [CrossRef] [PubMed]
  4. F. J. Lynch, R. E. Holland, and M. Hamermesh, Phys. Rev. 120, 513 (1960).
    [CrossRef]
  5. P. Pleshko and I. Palocz, Phys. Rev. Lett. 22, 1201 (1969).
    [CrossRef]
  6. J. Aavikscoo, J. Lippmaa, and J. Kuhl, J. Opt. Soc. Am. B 5, 1631 (1988).
    [CrossRef]
  7. J. Aavikscoo, J. Kuhl, and K. Ploog, Phys. Rev. A 44, R5353 (1991).
    [CrossRef]
  8. S.-H. Choi and U. L. Österberg, Phys. Rev. Lett. 92, 193903 (2004).
    [CrossRef] [PubMed]
  9. H. Jeong and U. L. Österberg, Phys. Rev. A 77, 021803(R) (2008).
    [CrossRef]
  10. S. E. Harris, Phys. Today 50, 36 (1997).
    [CrossRef]
  11. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
    [CrossRef]
  12. S. Du, P. Kolchin, C. Belthangady, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 100, 183603 (2008).
    [CrossRef] [PubMed]
  13. V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 94, 183601 (2005).
    [CrossRef] [PubMed]
  14. P. Kolchin, Phys. Rev. A 75, 033814 (2007).
    [CrossRef]
  15. M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
    [CrossRef] [PubMed]
  16. S. Du, E. Oh, J.-M. Wen, and M. H. Rubin, Phys. Rev. A 76, 013803 (2007).
    [CrossRef]
  17. S. Du, J.-M. Wen, and M. H. Rubin, “Narrowband biphoton generation near atomic resonance,” J. Opt. Soc. Am. B (to be published).
  18. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, 1975).

2008 (2)

H. Jeong and U. L. Österberg, Phys. Rev. A 77, 021803(R) (2008).
[CrossRef]

S. Du, P. Kolchin, C. Belthangady, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 100, 183603 (2008).
[CrossRef] [PubMed]

2007 (2)

P. Kolchin, Phys. Rev. A 75, 033814 (2007).
[CrossRef]

S. Du, E. Oh, J.-M. Wen, and M. H. Rubin, Phys. Rev. A 76, 013803 (2007).
[CrossRef]

2006 (1)

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef] [PubMed]

2005 (2)

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 94, 183601 (2005).
[CrossRef] [PubMed]

2004 (1)

S.-H. Choi and U. L. Österberg, Phys. Rev. Lett. 92, 193903 (2004).
[CrossRef] [PubMed]

1997 (1)

S. E. Harris, Phys. Today 50, 36 (1997).
[CrossRef]

1994 (1)

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

1991 (1)

J. Aavikscoo, J. Kuhl, and K. Ploog, Phys. Rev. A 44, R5353 (1991).
[CrossRef]

1988 (1)

1969 (1)

P. Pleshko and I. Palocz, Phys. Rev. Lett. 22, 1201 (1969).
[CrossRef]

1960 (1)

F. J. Lynch, R. E. Holland, and M. Hamermesh, Phys. Rev. 120, 513 (1960).
[CrossRef]

Aavikscoo, J.

J. Aavikscoo, J. Kuhl, and K. Ploog, Phys. Rev. A 44, R5353 (1991).
[CrossRef]

J. Aavikscoo, J. Lippmaa, and J. Kuhl, J. Opt. Soc. Am. B 5, 1631 (1988).
[CrossRef]

Balic, V.

V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 94, 183601 (2005).
[CrossRef] [PubMed]

Belthangady, C.

S. Du, P. Kolchin, C. Belthangady, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 100, 183603 (2008).
[CrossRef] [PubMed]

Braje, D. A.

V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 94, 183601 (2005).
[CrossRef] [PubMed]

Brillouin, L.

L. Brillouin, Wave Propagation and Group Velocity (Academic, 1960).

Choi, S.-H.

S.-H. Choi and U. L. Österberg, Phys. Rev. Lett. 92, 193903 (2004).
[CrossRef] [PubMed]

Dawes, A. M. C.

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef] [PubMed]

Du, S.

S. Du, P. Kolchin, C. Belthangady, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 100, 183603 (2008).
[CrossRef] [PubMed]

S. Du, E. Oh, J.-M. Wen, and M. H. Rubin, Phys. Rev. A 76, 013803 (2007).
[CrossRef]

S. Du, J.-M. Wen, and M. H. Rubin, “Narrowband biphoton generation near atomic resonance,” J. Opt. Soc. Am. B (to be published).

Fleischhauer, M.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

Gauthier, D. J.

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef] [PubMed]

W. R. LeFew, S. Venakides, and D. J. Gauthier, arXiv:0705.4238 [physics.optics].

Hamermesh, M.

F. J. Lynch, R. E. Holland, and M. Hamermesh, Phys. Rev. 120, 513 (1960).
[CrossRef]

Harris, S. E.

S. Du, P. Kolchin, C. Belthangady, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 100, 183603 (2008).
[CrossRef] [PubMed]

V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 94, 183601 (2005).
[CrossRef] [PubMed]

S. E. Harris, Phys. Today 50, 36 (1997).
[CrossRef]

Holland, R. E.

F. J. Lynch, R. E. Holland, and M. Hamermesh, Phys. Rev. 120, 513 (1960).
[CrossRef]

Imamoglu, A.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, 1975).

Jeong, H.

H. Jeong and U. L. Österberg, Phys. Rev. A 77, 021803(R) (2008).
[CrossRef]

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef] [PubMed]

Klyshko, D. N.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Kolchin, P.

S. Du, P. Kolchin, C. Belthangady, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 100, 183603 (2008).
[CrossRef] [PubMed]

P. Kolchin, Phys. Rev. A 75, 033814 (2007).
[CrossRef]

V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 94, 183601 (2005).
[CrossRef] [PubMed]

Kuhl, J.

J. Aavikscoo, J. Kuhl, and K. Ploog, Phys. Rev. A 44, R5353 (1991).
[CrossRef]

J. Aavikscoo, J. Lippmaa, and J. Kuhl, J. Opt. Soc. Am. B 5, 1631 (1988).
[CrossRef]

LeFew, W. R.

W. R. LeFew, S. Venakides, and D. J. Gauthier, arXiv:0705.4238 [physics.optics].

Lippmaa, J.

Lynch, F. J.

F. J. Lynch, R. E. Holland, and M. Hamermesh, Phys. Rev. 120, 513 (1960).
[CrossRef]

Marangos, J. P.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

Oh, E.

S. Du, E. Oh, J.-M. Wen, and M. H. Rubin, Phys. Rev. A 76, 013803 (2007).
[CrossRef]

Österberg, U. L.

H. Jeong and U. L. Österberg, Phys. Rev. A 77, 021803(R) (2008).
[CrossRef]

S.-H. Choi and U. L. Österberg, Phys. Rev. Lett. 92, 193903 (2004).
[CrossRef] [PubMed]

Palocz, I.

P. Pleshko and I. Palocz, Phys. Rev. Lett. 22, 1201 (1969).
[CrossRef]

Pleshko, P.

P. Pleshko and I. Palocz, Phys. Rev. Lett. 22, 1201 (1969).
[CrossRef]

Ploog, K.

J. Aavikscoo, J. Kuhl, and K. Ploog, Phys. Rev. A 44, R5353 (1991).
[CrossRef]

Rubin, M. H.

S. Du, E. Oh, J.-M. Wen, and M. H. Rubin, Phys. Rev. A 76, 013803 (2007).
[CrossRef]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

S. Du, J.-M. Wen, and M. H. Rubin, “Narrowband biphoton generation near atomic resonance,” J. Opt. Soc. Am. B (to be published).

Sergienko, A. V.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Shih, Y. H.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Venakides, S.

W. R. LeFew, S. Venakides, and D. J. Gauthier, arXiv:0705.4238 [physics.optics].

Wen, J.-M.

S. Du, E. Oh, J.-M. Wen, and M. H. Rubin, Phys. Rev. A 76, 013803 (2007).
[CrossRef]

S. Du, J.-M. Wen, and M. H. Rubin, “Narrowband biphoton generation near atomic resonance,” J. Opt. Soc. Am. B (to be published).

Yin, G. Y.

S. Du, P. Kolchin, C. Belthangady, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 100, 183603 (2008).
[CrossRef] [PubMed]

V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 94, 183601 (2005).
[CrossRef] [PubMed]

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

Phys. Rev. (1)

F. J. Lynch, R. E. Holland, and M. Hamermesh, Phys. Rev. 120, 513 (1960).
[CrossRef]

Phys. Rev. A (5)

J. Aavikscoo, J. Kuhl, and K. Ploog, Phys. Rev. A 44, R5353 (1991).
[CrossRef]

H. Jeong and U. L. Österberg, Phys. Rev. A 77, 021803(R) (2008).
[CrossRef]

P. Kolchin, Phys. Rev. A 75, 033814 (2007).
[CrossRef]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

S. Du, E. Oh, J.-M. Wen, and M. H. Rubin, Phys. Rev. A 76, 013803 (2007).
[CrossRef]

Phys. Rev. Lett. (5)

S. Du, P. Kolchin, C. Belthangady, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 100, 183603 (2008).
[CrossRef] [PubMed]

V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 94, 183601 (2005).
[CrossRef] [PubMed]

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef] [PubMed]

S.-H. Choi and U. L. Österberg, Phys. Rev. Lett. 92, 193903 (2004).
[CrossRef] [PubMed]

P. Pleshko and I. Palocz, Phys. Rev. Lett. 22, 1201 (1969).
[CrossRef]

Phys. Today (1)

S. E. Harris, Phys. Today 50, 36 (1997).
[CrossRef]

Rev. Mod. Phys. (1)

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

Other (4)

L. Brillouin, Wave Propagation and Group Velocity (Academic, 1960).

W. R. LeFew, S. Venakides, and D. J. Gauthier, arXiv:0705.4238 [physics.optics].

S. Du, J.-M. Wen, and M. H. Rubin, “Narrowband biphoton generation near atomic resonance,” J. Opt. Soc. Am. B (to be published).

J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, 1975).

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Figures (5)

Fig. 1
Fig. 1

Biphoton generation in a double-Λ system. (a) Experimental configuration. (b) Rb 85 energy level diagram (from [12]).

Fig. 2
Fig. 2

(a) Two-photon correlation for an ideal spontaneous parametric down converter with a relative group delay L V g and paired emission rate R. (b) Experimental Stokes–anti-Stokes coincidence counts per 1 ns bin in 800 s as a function of delay at an optical depth of 62, Ω c = 4.20 γ 13 , Ω p = 1.16 γ 13 , and Δ p = 48.67 γ 13 .

Fig. 3
Fig. 3

(a) Anti-Stokes (EIT) transmission profile. (b) Group delay L 2 V g as a function of anti-Stokes detuning Δ ω . Optical depth = 62 , Ω c = 4.20 γ 13 .

Fig. 4
Fig. 4

Zoomed view of Fig. 2b comparing the experimental data (circles) and the theoretical curve (solid curve). Optical depth = 62 .

Fig. 5
Fig. 5

Comparison of theory and experiment for other parameters. In parts (a1) and (b1) Ω c = 2.35 γ 13 . In parts (a2) and (b2) Ω c = 4.20 γ 13 .

Equations (5)

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

ψ ( τ ) = L 2 π κ ( ω ) φ ( ω ) e i θ ( ω , τ ) d ω .
τ = L 2 V g ( ω d ) L 2 c ,
ψ ( τ ) = ψ 0 ( τ ) + ψ SB ( τ ) .
ψ 0 ( τ ) = L 2 π ω 13 Ω c 2 ω 13 + Ω c 2 κ ( ω ) φ ( ω ) e i θ ( ω , τ ) d ω .
ψ SB ( τ ) = ω d κ ( ω d ) φ ( ω d ) L i 2 π θ ( ω d ) e i θ ( ω d , τ ) .

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