Abstract

Coherent dynamics of slow light for all-optical switching is investigated in a multilevel system of solids for an understanding of self-induced ultraslow light. In an optical population shelving system of a rare-earth doped solid, dynamics of the slow light are presented by using a third optical field controlling shelved atom population. Unlike two-photon coherence-based delayed all-optical switching utilizing electromagnetically induced transparency, the present method relies on one-photon coherence controlling shelved atom population.

© 2008 Optical Society of America

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  1. A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
    [CrossRef] [PubMed]
  2. M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Science 301, 200 (2003).
    [CrossRef] [PubMed]
  3. K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, Nature 452, 67 (2008), and references therein.
    [CrossRef] [PubMed]
  4. D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801 (2003).
    [CrossRef]
  5. F. Xia, L. Sekaric, and L. Vlasov, Nat. Photonics 1, 65 (2006).
    [CrossRef]
  6. Z. Yang and J. E. Sipe, Opt. Lett. 32, 918 (2007).
    [CrossRef] [PubMed]
  7. J. B. Khurgin, Opt. Lett. 30, 513 (2005).
    [CrossRef] [PubMed]
  8. M. G. Payne and L. Deng, Phys. Rev. Lett. 91, 123602 (2003).
    [CrossRef] [PubMed]
  9. S. A. Moiseev and B. S. Ham, Phys. Rev. A 71, 053802 (2006).
    [CrossRef]
  10. A. M. Rey, L. Jiang, M. Fleischhauer, E. Demler, and M. D. Lukin, Phys. Rev. A 77, 052305 (2008).
    [CrossRef]
  11. B. S. Ham, M. S. Shahriar, M. K. Kim, and P. R. Hemmer, Phys. Rev. B 58, R11825 (1998).
    [CrossRef]
  12. R. W. Equall, R. L. Cone, and R. M. Macfarlane, Phys. Rev. B 52, 3963 (1995), and references therein.
    [CrossRef]
  13. For the noncollinear propagation scheme of Fig. , see B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Lett. 22, 1138 (1997).
    [CrossRef] [PubMed]
  14. J. Hahn and B. S. Ham, Opt. Express 16, 16723 (2008).
    [CrossRef] [PubMed]
  15. B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Commun. 144, 227 (1997).
    [CrossRef]
  16. B. S. Ham, Phys. Rev. A 78, 011808(R) (2008).
    [CrossRef]
  17. M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, 1974), Chap. 7.
  18. For a detailed description, see B. S. Ham, ETRI J. 23, 106 (2001).
    [CrossRef]

2008 (4)

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, Nature 452, 67 (2008), and references therein.
[CrossRef] [PubMed]

A. M. Rey, L. Jiang, M. Fleischhauer, E. Demler, and M. D. Lukin, Phys. Rev. A 77, 052305 (2008).
[CrossRef]

B. S. Ham, Phys. Rev. A 78, 011808(R) (2008).
[CrossRef]

J. Hahn and B. S. Ham, Opt. Express 16, 16723 (2008).
[CrossRef] [PubMed]

2007 (1)

2006 (2)

S. A. Moiseev and B. S. Ham, Phys. Rev. A 71, 053802 (2006).
[CrossRef]

F. Xia, L. Sekaric, and L. Vlasov, Nat. Photonics 1, 65 (2006).
[CrossRef]

2005 (1)

2003 (3)

M. G. Payne and L. Deng, Phys. Rev. Lett. 91, 123602 (2003).
[CrossRef] [PubMed]

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801 (2003).
[CrossRef]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Science 301, 200 (2003).
[CrossRef] [PubMed]

2002 (1)

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

2001 (1)

For a detailed description, see B. S. Ham, ETRI J. 23, 106 (2001).
[CrossRef]

1998 (1)

B. S. Ham, M. S. Shahriar, M. K. Kim, and P. R. Hemmer, Phys. Rev. B 58, R11825 (1998).
[CrossRef]

1997 (2)

1995 (1)

R. W. Equall, R. L. Cone, and R. M. Macfarlane, Phys. Rev. B 52, 3963 (1995), and references therein.
[CrossRef]

1974 (1)

M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, 1974), Chap. 7.

Balic, V.

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801 (2003).
[CrossRef]

Bigelow, M. S.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Science 301, 200 (2003).
[CrossRef] [PubMed]

Boyd, R. W.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Science 301, 200 (2003).
[CrossRef] [PubMed]

Braje, D. A.

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801 (2003).
[CrossRef]

Choi, K. S.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, Nature 452, 67 (2008), and references therein.
[CrossRef] [PubMed]

Cone, R. L.

R. W. Equall, R. L. Cone, and R. M. Macfarlane, Phys. Rev. B 52, 3963 (1995), and references therein.
[CrossRef]

Demler, E.

A. M. Rey, L. Jiang, M. Fleischhauer, E. Demler, and M. D. Lukin, Phys. Rev. A 77, 052305 (2008).
[CrossRef]

Deng, H.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, Nature 452, 67 (2008), and references therein.
[CrossRef] [PubMed]

Deng, L.

M. G. Payne and L. Deng, Phys. Rev. Lett. 91, 123602 (2003).
[CrossRef] [PubMed]

Equall, R. W.

R. W. Equall, R. L. Cone, and R. M. Macfarlane, Phys. Rev. B 52, 3963 (1995), and references therein.
[CrossRef]

Fleischhauer, M.

A. M. Rey, L. Jiang, M. Fleischhauer, E. Demler, and M. D. Lukin, Phys. Rev. A 77, 052305 (2008).
[CrossRef]

Hahn, J.

Ham, B. S.

J. Hahn and B. S. Ham, Opt. Express 16, 16723 (2008).
[CrossRef] [PubMed]

B. S. Ham, Phys. Rev. A 78, 011808(R) (2008).
[CrossRef]

S. A. Moiseev and B. S. Ham, Phys. Rev. A 71, 053802 (2006).
[CrossRef]

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

For a detailed description, see B. S. Ham, ETRI J. 23, 106 (2001).
[CrossRef]

B. S. Ham, M. S. Shahriar, M. K. Kim, and P. R. Hemmer, Phys. Rev. B 58, R11825 (1998).
[CrossRef]

For the noncollinear propagation scheme of Fig. , see B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Lett. 22, 1138 (1997).
[CrossRef] [PubMed]

B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Commun. 144, 227 (1997).
[CrossRef]

Harris, S. E.

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801 (2003).
[CrossRef]

Hemmer, P. R.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

B. S. Ham, M. S. Shahriar, M. K. Kim, and P. R. Hemmer, Phys. Rev. B 58, R11825 (1998).
[CrossRef]

B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Commun. 144, 227 (1997).
[CrossRef]

For the noncollinear propagation scheme of Fig. , see B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Lett. 22, 1138 (1997).
[CrossRef] [PubMed]

Jiang, L.

A. M. Rey, L. Jiang, M. Fleischhauer, E. Demler, and M. D. Lukin, Phys. Rev. A 77, 052305 (2008).
[CrossRef]

Khurgin, J. B.

Kim, M. K.

B. S. Ham, M. S. Shahriar, M. K. Kim, and P. R. Hemmer, Phys. Rev. B 58, R11825 (1998).
[CrossRef]

Kimble, H. J.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, Nature 452, 67 (2008), and references therein.
[CrossRef] [PubMed]

Lamb, W. E.

M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, 1974), Chap. 7.

Laurat, J.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, Nature 452, 67 (2008), and references therein.
[CrossRef] [PubMed]

Lepeshkin, N. N.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Science 301, 200 (2003).
[CrossRef] [PubMed]

Lukin, M. D.

A. M. Rey, L. Jiang, M. Fleischhauer, E. Demler, and M. D. Lukin, Phys. Rev. A 77, 052305 (2008).
[CrossRef]

Macfarlane, R. M.

R. W. Equall, R. L. Cone, and R. M. Macfarlane, Phys. Rev. B 52, 3963 (1995), and references therein.
[CrossRef]

Moiseev, S. A.

S. A. Moiseev and B. S. Ham, Phys. Rev. A 71, 053802 (2006).
[CrossRef]

Musser, J. A.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Payne, M. G.

M. G. Payne and L. Deng, Phys. Rev. Lett. 91, 123602 (2003).
[CrossRef] [PubMed]

Rey, A. M.

A. M. Rey, L. Jiang, M. Fleischhauer, E. Demler, and M. D. Lukin, Phys. Rev. A 77, 052305 (2008).
[CrossRef]

Sargent, M.

M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, 1974), Chap. 7.

Scully, M. O.

M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, 1974), Chap. 7.

Sekaric, L.

F. Xia, L. Sekaric, and L. Vlasov, Nat. Photonics 1, 65 (2006).
[CrossRef]

Shahriar, M. S.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

B. S. Ham, M. S. Shahriar, M. K. Kim, and P. R. Hemmer, Phys. Rev. B 58, R11825 (1998).
[CrossRef]

B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Commun. 144, 227 (1997).
[CrossRef]

For the noncollinear propagation scheme of Fig. , see B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Lett. 22, 1138 (1997).
[CrossRef] [PubMed]

Sipe, J. E.

Sudarshanam, V. S.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Turukhin, A. V.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Vlasov, L.

F. Xia, L. Sekaric, and L. Vlasov, Nat. Photonics 1, 65 (2006).
[CrossRef]

Xia, F.

F. Xia, L. Sekaric, and L. Vlasov, Nat. Photonics 1, 65 (2006).
[CrossRef]

Yang, Z.

Yin, G. Y.

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801 (2003).
[CrossRef]

ETRI J. (1)

For a detailed description, see B. S. Ham, ETRI J. 23, 106 (2001).
[CrossRef]

Nat. Photonics (1)

F. Xia, L. Sekaric, and L. Vlasov, Nat. Photonics 1, 65 (2006).
[CrossRef]

Nature (1)

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, Nature 452, 67 (2008), and references therein.
[CrossRef] [PubMed]

Opt. Commun. (1)

B. S. Ham, M. S. Shahriar, and P. R. Hemmer, Opt. Commun. 144, 227 (1997).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. A (4)

B. S. Ham, Phys. Rev. A 78, 011808(R) (2008).
[CrossRef]

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801 (2003).
[CrossRef]

S. A. Moiseev and B. S. Ham, Phys. Rev. A 71, 053802 (2006).
[CrossRef]

A. M. Rey, L. Jiang, M. Fleischhauer, E. Demler, and M. D. Lukin, Phys. Rev. A 77, 052305 (2008).
[CrossRef]

Phys. Rev. B (2)

B. S. Ham, M. S. Shahriar, M. K. Kim, and P. R. Hemmer, Phys. Rev. B 58, R11825 (1998).
[CrossRef]

R. W. Equall, R. L. Cone, and R. M. Macfarlane, Phys. Rev. B 52, 3963 (1995), and references therein.
[CrossRef]

Phys. Rev. Lett. (2)

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

M. G. Payne and L. Deng, Phys. Rev. Lett. 91, 123602 (2003).
[CrossRef] [PubMed]

Science (1)

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Science 301, 200 (2003).
[CrossRef] [PubMed]

Other (1)

M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, 1974), Chap. 7.

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Figures (4)

Fig. 1
Fig. 1

Coherent dynamics of self-induced slow light. The black curve is for the probe (indicated by P) and the slow light (Gaussian shaped part, indicated by S). The square blue line is for electronic signal to indicate the pulse P as a reference. The red line is for the control light, indicated by A. (a) Schematic energy level diagram of Pr:YSO for the transition H 4 3 D 2 1 at λ = 606 nm , (b) pulse sequence, (c) noncollinear propagation direction, (d) self-induced ultraslow light, and (e) all-optical switching of the self-induced slow light for (b). The intensities of R1, R2, A, and P are 25, 11, 10, and 3 W cm 2 , respectively.

Fig. 2
Fig. 2

(a) Self-induced ultraslow light, (b)–(d) all-optical switching with control A for (b) δ = 0 , for (c) δ = 1 MHz , and for (d) δ = 2 MHz . The intensity of A is 12 W cm 2 . The bottom curve is for A.

Fig. 3
Fig. 3

(a) Transient behavior of the all-optical switching based on Rabi flopping of the population. The intensity of P and A are 3 and 10 W cm 2 , respectively. (b) Numerical calculations: Γ 25 = Γ 35 = 1 kHz , γ 25 = γ 35 = 50 kHz , Ω P = 10 kHz , Ω A = 100 kHz . The bottom curve is for Im ρ 25 .

Fig. 4
Fig. 4

(a) Transient effect of the probe P. The maximum intensity of A is the same as that in Fig. 2b. Intensity increases from top to bottom on the curves. (b) Oscillation frequency of P versus square root of A power.

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v g 1 N .

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