Abstract

We demonstrate how both normal and anomalous dispersion can be realized concurrently for a pair of weak probes in a doubly driven double-ladder configuration with independent and simultaneous control for group velocities of the pair. We have shown both analytically and numerically that, because of electromagnetically induced transparency and a χ(3)-based gain process, a slow-fast light pair can be realized in the same delay element with group indices ±107 accompanied by gain or relatively small absorption (down to 25%). We also identify parameter regions for realization of concurrent slow-slow and fast-fast light pairs with reduced absorptions.

© 2011 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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2011 (1)

P. S. Hsu, G. R. Welch, J. R. Gord, and A. K. Patnaik, Phys. Rev. A 83, 053819 (2011).
[CrossRef]

2010 (1)

2009 (2)

2008 (4)

P. S. Hsu, A. K. Patnaik, and G. R. Welch, Opt. Lett. 33, 381 (2008).
[CrossRef] [PubMed]

P. S. Hsu, A. K. Patnaik, and G. R. Welch, J. Mod. Opt. 55, 3109 (2008).
[CrossRef]

L. Thevenaz, Nat. Photonics 2, 474 (2008).
[CrossRef]

P. Bianucci, C. R. Fietz, H. W. Robertson, G. Shvets, and C. K. Shish, Phys. Rev. A 77, 053816 (2008).
[CrossRef]

2006 (3)

J. Zhang, G. Hernandez, and Y. Zhu, Opt. Lett. 31, 2598(2006).
[CrossRef] [PubMed]

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, Opt. Photon. News 17, 18 (2006).
[CrossRef]

Y. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. A 74, 053813 (2006).
[CrossRef]

2002 (2)

A. S. Zibrov, M. D. Lukin, L. Hollberg, and M. O. Scully, Phys. Rev. A 65, 051801 (2002).
[CrossRef]

A. K. Patnaik, J. Q. Liang, and K. Hakuta, Phys. Rev. A 66, 063808 (2002).
[CrossRef]

2001 (1)

A. B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G. R. Welch, A. S. Zibrov, and M. O. Scully, Adv. At. Mol. Opt. Phys. 46, 191 (2001).
[CrossRef]

2000 (2)

L. J. Wang, A. Kuzmich, and A. Dogariu, Nature 406, 277 (2000).
[CrossRef] [PubMed]

A. K. Patnaik and G. S. Agarwal, Opt. Commun. 179, 97 (2000). 199, 127 (2001).
[CrossRef]

1999 (2)

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

1998 (1)

S. Wielandy and A. L. Gaeta, Phys. Rev. Lett. 81, 3359(1998).
[CrossRef]

Abend, S.

Agarwal, G. K.

A. K. Patnaik and G. S. Agarwal, Opt. Commun. 199, 127(2001).
[CrossRef]

Agarwal, G. S.

A. K. Patnaik and G. S. Agarwal, Opt. Commun. 179, 97 (2000). 199, 127 (2001).
[CrossRef]

Altin, P. A.

Behroozi, C. H.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Bianucci, P.

P. Bianucci, C. R. Fietz, H. W. Robertson, G. Shvets, and C. K. Shish, Phys. Rev. A 77, 053816 (2008).
[CrossRef]

Boyd, R. W.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, Opt. Photon. News 17, 18 (2006).
[CrossRef]

Brown, A. W.

Y. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. A 74, 053813 (2006).
[CrossRef]

Budker, D.

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

Close, J. D.

Debs, J. E.

Dogariu, A.

L. J. Wang, A. Kuzmich, and A. Dogariu, Nature 406, 277 (2000).
[CrossRef] [PubMed]

Döring, D.

Dutton, Z.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Fietz, C. R.

P. Bianucci, C. R. Fietz, H. W. Robertson, G. Shvets, and C. K. Shish, Phys. Rev. A 77, 053816 (2008).
[CrossRef]

Gaeta, A. L.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, Opt. Photon. News 17, 18 (2006).
[CrossRef]

S. Wielandy and A. L. Gaeta, Phys. Rev. Lett. 81, 3359(1998).
[CrossRef]

Gauthier, D. J.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, Opt. Photon. News 17, 18 (2006).
[CrossRef]

Gord, J. R.

P. S. Hsu, G. R. Welch, J. R. Gord, and A. K. Patnaik, Phys. Rev. A 83, 053819 (2011).
[CrossRef]

Guo, H.

Hakuta, K.

A. K. Patnaik, J. Q. Liang, and K. Hakuta, Phys. Rev. A 66, 063808 (2002).
[CrossRef]

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Hau, L. V.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Hernandez, G.

Hollberg, L.

A. S. Zibrov, M. D. Lukin, L. Hollberg, and M. O. Scully, Phys. Rev. A 65, 051801 (2002).
[CrossRef]

Hsu, P. S.

P. S. Hsu, G. R. Welch, J. R. Gord, and A. K. Patnaik, Phys. Rev. A 83, 053819 (2011).
[CrossRef]

P. S. Hsu, A. K. Patnaik, and G. R. Welch, Opt. Lett. 33, 381 (2008).
[CrossRef] [PubMed]

P. S. Hsu, A. K. Patnaik, and G. R. Welch, J. Mod. Opt. 55, 3109 (2008).
[CrossRef]

Kimball, D. F.

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

Kocharovskaya, O.

A. B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G. R. Welch, A. S. Zibrov, and M. O. Scully, Adv. At. Mol. Opt. Phys. 46, 191 (2001).
[CrossRef]

Kuzmich, A.

L. J. Wang, A. Kuzmich, and A. Dogariu, Nature 406, 277 (2000).
[CrossRef] [PubMed]

Liang, J. Q.

A. K. Patnaik, J. Q. Liang, and K. Hakuta, Phys. Rev. A 66, 063808 (2002).
[CrossRef]

Liu, Y.

Lukin, M. D.

A. S. Zibrov, M. D. Lukin, L. Hollberg, and M. O. Scully, Phys. Rev. A 65, 051801 (2002).
[CrossRef]

Luo, B.

Matsko, A. B.

A. B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G. R. Welch, A. S. Zibrov, and M. O. Scully, Adv. At. Mol. Opt. Phys. 46, 191 (2001).
[CrossRef]

Pati, G. S.

Patnaik, A. K.

P. S. Hsu, G. R. Welch, J. R. Gord, and A. K. Patnaik, Phys. Rev. A 83, 053819 (2011).
[CrossRef]

P. S. Hsu, A. K. Patnaik, and G. R. Welch, Opt. Lett. 33, 381 (2008).
[CrossRef] [PubMed]

A. K. Patnaik, J. Q. Liang, and K. Hakuta, Phys. Rev. A 66, 063808 (2002).
[CrossRef]

A. K. Patnaik and G. S. Agarwal, Opt. Commun. 179, 97 (2000). 199, 127 (2001).
[CrossRef]

A. K. Patnaik and G. S. Agarwal, Opt. Commun. 199, 127(2001).
[CrossRef]

Patnaik, A. S.

P. S. Hsu, A. K. Patnaik, and G. R. Welch, J. Mod. Opt. 55, 3109 (2008).
[CrossRef]

Robertson, H. W.

P. Bianucci, C. R. Fietz, H. W. Robertson, G. Shvets, and C. K. Shish, Phys. Rev. A 77, 053816 (2008).
[CrossRef]

Robins, N. P.

Rochester, S. M.

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

Rostovtsev, Y.

A. B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G. R. Welch, A. S. Zibrov, and M. O. Scully, Adv. At. Mol. Opt. Phys. 46, 191 (2001).
[CrossRef]

Salit, K.

Salit, M.

Schultz, J. T.

Scully, M. O.

A. S. Zibrov, M. D. Lukin, L. Hollberg, and M. O. Scully, Phys. Rev. A 65, 051801 (2002).
[CrossRef]

A. B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G. R. Welch, A. S. Zibrov, and M. O. Scully, Adv. At. Mol. Opt. Phys. 46, 191 (2001).
[CrossRef]

Shahriar, M. S.

Shish, C. K.

P. Bianucci, C. R. Fietz, H. W. Robertson, G. Shvets, and C. K. Shish, Phys. Rev. A 77, 053816 (2008).
[CrossRef]

Shvets, G.

P. Bianucci, C. R. Fietz, H. W. Robertson, G. Shvets, and C. K. Shish, Phys. Rev. A 77, 053816 (2008).
[CrossRef]

Thevenaz, L.

L. Thevenaz, Nat. Photonics 2, 474 (2008).
[CrossRef]

Wang, L. J.

L. J. Wang, A. Kuzmich, and A. Dogariu, Nature 406, 277 (2000).
[CrossRef] [PubMed]

Welch, G. R.

P. S. Hsu, G. R. Welch, J. R. Gord, and A. K. Patnaik, Phys. Rev. A 83, 053819 (2011).
[CrossRef]

P. S. Hsu, A. K. Patnaik, and G. R. Welch, Opt. Lett. 33, 381 (2008).
[CrossRef] [PubMed]

A. B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G. R. Welch, A. S. Zibrov, and M. O. Scully, Adv. At. Mol. Opt. Phys. 46, 191 (2001).
[CrossRef]

Welch, G. S.

P. S. Hsu, A. K. Patnaik, and G. R. Welch, J. Mod. Opt. 55, 3109 (2008).
[CrossRef]

White, J. D.

Wielandy, S.

S. Wielandy and A. L. Gaeta, Phys. Rev. Lett. 81, 3359(1998).
[CrossRef]

Xiao, M.

Y. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. A 74, 053813 (2006).
[CrossRef]

Yashchuk, V. V.

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

Zhang, J.

Zhang, Y.

Y. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. A 74, 053813 (2006).
[CrossRef]

Zhu, Y.

Zibrov, A. S.

A. S. Zibrov, M. D. Lukin, L. Hollberg, and M. O. Scully, Phys. Rev. A 65, 051801 (2002).
[CrossRef]

A. B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G. R. Welch, A. S. Zibrov, and M. O. Scully, Adv. At. Mol. Opt. Phys. 46, 191 (2001).
[CrossRef]

Adv. At. Mol. Opt. Phys. (1)

A. B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G. R. Welch, A. S. Zibrov, and M. O. Scully, Adv. At. Mol. Opt. Phys. 46, 191 (2001).
[CrossRef]

J. Mod. Opt. (1)

P. S. Hsu, A. K. Patnaik, and G. R. Welch, J. Mod. Opt. 55, 3109 (2008).
[CrossRef]

Nat. Photonics (1)

L. Thevenaz, Nat. Photonics 2, 474 (2008).
[CrossRef]

Nature (2)

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

L. J. Wang, A. Kuzmich, and A. Dogariu, Nature 406, 277 (2000).
[CrossRef] [PubMed]

Opt. Commun. (2)

A. K. Patnaik and G. S. Agarwal, Opt. Commun. 179, 97 (2000). 199, 127 (2001).
[CrossRef]

A. K. Patnaik and G. S. Agarwal, Opt. Commun. 199, 127(2001).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Opt. Photon. News (1)

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, Opt. Photon. News 17, 18 (2006).
[CrossRef]

Phys. Rev. A (5)

P. Bianucci, C. R. Fietz, H. W. Robertson, G. Shvets, and C. K. Shish, Phys. Rev. A 77, 053816 (2008).
[CrossRef]

A. S. Zibrov, M. D. Lukin, L. Hollberg, and M. O. Scully, Phys. Rev. A 65, 051801 (2002).
[CrossRef]

Y. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. A 74, 053813 (2006).
[CrossRef]

P. S. Hsu, G. R. Welch, J. R. Gord, and A. K. Patnaik, Phys. Rev. A 83, 053819 (2011).
[CrossRef]

A. K. Patnaik, J. Q. Liang, and K. Hakuta, Phys. Rev. A 66, 063808 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

S. Wielandy and A. L. Gaeta, Phys. Rev. Lett. 81, 3359(1998).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

A schematic of the DL system used to obtain concurrent slow-fast light pairs in the same delay element.

Fig. 2
Fig. 2

Numerical plots of (a) real part of χ ± , (b) imaginary part of χ ± , and (c) group indices n g ± for the DL system. The columns correspond to (i)  Ω d + = 0 , Ω d = 2 γ , (ii)  Ω d + = γ , Ω d = 5 γ , and (iii)  Ω d + = 5 γ , Ω d = 10 γ . All solid (dashed) lines correspond to the Ω p ( Ω p + ) field.

Fig. 3
Fig. 3

(a) Group indices ( n g ± ) and (b) absorption or gain of the medium ( Im χ ± ) as a function of probe detuning δ and Rabi frequency of drive Ω d + while keeping the other drive field constant Ω d = 5 γ and drive fields detuned at Δ = 5 γ . All solid (dashed) lines correspond to the Ω p ( Ω p + ) field.

Equations (4)

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

v g i = c n g i ; n g i = 1 + ω i d n i d ω i
χ ± = i η Ω p ± D δ [ Ω p ± ( | Ω d ± | 2 + γ δ Γ δ ) Ω p Ω d * Ω d ± ] ; D δ = γ δ ( | Ω d + | 2 + | Ω d | 2 + γ δ Γ δ ) .
n g ± = 1 η ω p ± Ω p Re [ Ω p ± D δ ( γ δ + Γ δ + Γ ) + i D δ 2 { Ω Ω d * Ω d ± Ω p ± ( | Ω d ± | 2 + γ δ Γ δ ) } × { i ( | Ω d + | 2 + | Ω d | 2 + 2 γ Γ δ γ 2 3 δ 2 ) 2 δ ( 2 γ + 2 Γ + i Δ ) } ] .
n g + 1 + ω p η γ 2 Ω p Ω d + Ω p + Ω d , n g 1 ω p η γ 2 .

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