Abstract

An electromagnetically induced transparency-like effect is described that allows a strong laser to control and reduce to unity the refractive index of a weak probe. A lossless multistate system with all states far from resonance is considered.

© 1994 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. K.-J. Boller, A. Imamoglu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991); S. E. Harris, J. E. Field, A. Kasapi, Phys. Rev. A 46, R29 (1992); S. E. Harris, Phys. Rev. Lett. 70, 552 (1993); S. E. Harris, Phys. Rev. Lett. 72, 52 (1994).
    [CrossRef] [PubMed]
  2. G. S. Agarwal, Phys. Rev. Lett. 71, 1351 (1993).
    [CrossRef] [PubMed]
  3. M. Fleischhauer, Phys. Rev. Lett. 72, 989 (1994).
    [CrossRef] [PubMed]
  4. J. H. Eberly, M. L. Pons, H. R. Haq, Phys. Rev. Lett. 72, 56 (1994).
    [CrossRef] [PubMed]
  5. M. O. Scully, Phys. Rev. Lett. 67, 1855 (1991).
    [CrossRef] [PubMed]
  6. M. Fleischhauer, C. H. Keitel, M. O. Scully, Phys. Rev. A 46, 1468 (1992).
    [CrossRef] [PubMed]
  7. All summations are to be taken to include integration over the continuum.
  8. This is also the requirement for EIT in a three-state absorbing medium.
  9. G. Z. Zhang, K. Hakuta, B. P. Stoicheff, Phys. Rev. Lett. 71, 3099 (1993).
    [CrossRef] [PubMed]
  10. M. Jain, G. Y. Yin, J. E. Field, S. E. Harris, Opt. Lett. 18, 998 (1993).
    [CrossRef] [PubMed]
  11. P. L. Knight, M. A. Lauder, B. J. Dalton, Phys. Reports 190, 1 (1990).
    [CrossRef]
  12. S. J. van Enk, J. Zhang, P. Lambropoulos, “The effect of the continuum on electromagnetically induced transparency with matched pulses,”Phys. Rev. A (to be published).

1994

M. Fleischhauer, Phys. Rev. Lett. 72, 989 (1994).
[CrossRef] [PubMed]

J. H. Eberly, M. L. Pons, H. R. Haq, Phys. Rev. Lett. 72, 56 (1994).
[CrossRef] [PubMed]

1993

G. S. Agarwal, Phys. Rev. Lett. 71, 1351 (1993).
[CrossRef] [PubMed]

G. Z. Zhang, K. Hakuta, B. P. Stoicheff, Phys. Rev. Lett. 71, 3099 (1993).
[CrossRef] [PubMed]

M. Jain, G. Y. Yin, J. E. Field, S. E. Harris, Opt. Lett. 18, 998 (1993).
[CrossRef] [PubMed]

1992

M. Fleischhauer, C. H. Keitel, M. O. Scully, Phys. Rev. A 46, 1468 (1992).
[CrossRef] [PubMed]

1991

K.-J. Boller, A. Imamoglu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991); S. E. Harris, J. E. Field, A. Kasapi, Phys. Rev. A 46, R29 (1992); S. E. Harris, Phys. Rev. Lett. 70, 552 (1993); S. E. Harris, Phys. Rev. Lett. 72, 52 (1994).
[CrossRef] [PubMed]

M. O. Scully, Phys. Rev. Lett. 67, 1855 (1991).
[CrossRef] [PubMed]

1990

P. L. Knight, M. A. Lauder, B. J. Dalton, Phys. Reports 190, 1 (1990).
[CrossRef]

Agarwal, G. S.

G. S. Agarwal, Phys. Rev. Lett. 71, 1351 (1993).
[CrossRef] [PubMed]

Boller, K.-J.

K.-J. Boller, A. Imamoglu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991); S. E. Harris, J. E. Field, A. Kasapi, Phys. Rev. A 46, R29 (1992); S. E. Harris, Phys. Rev. Lett. 70, 552 (1993); S. E. Harris, Phys. Rev. Lett. 72, 52 (1994).
[CrossRef] [PubMed]

Dalton, B. J.

P. L. Knight, M. A. Lauder, B. J. Dalton, Phys. Reports 190, 1 (1990).
[CrossRef]

Eberly, J. H.

J. H. Eberly, M. L. Pons, H. R. Haq, Phys. Rev. Lett. 72, 56 (1994).
[CrossRef] [PubMed]

Field, J. E.

Fleischhauer, M.

M. Fleischhauer, Phys. Rev. Lett. 72, 989 (1994).
[CrossRef] [PubMed]

M. Fleischhauer, C. H. Keitel, M. O. Scully, Phys. Rev. A 46, 1468 (1992).
[CrossRef] [PubMed]

Hakuta, K.

G. Z. Zhang, K. Hakuta, B. P. Stoicheff, Phys. Rev. Lett. 71, 3099 (1993).
[CrossRef] [PubMed]

Haq, H. R.

J. H. Eberly, M. L. Pons, H. R. Haq, Phys. Rev. Lett. 72, 56 (1994).
[CrossRef] [PubMed]

Harris, S. E.

M. Jain, G. Y. Yin, J. E. Field, S. E. Harris, Opt. Lett. 18, 998 (1993).
[CrossRef] [PubMed]

K.-J. Boller, A. Imamoglu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991); S. E. Harris, J. E. Field, A. Kasapi, Phys. Rev. A 46, R29 (1992); S. E. Harris, Phys. Rev. Lett. 70, 552 (1993); S. E. Harris, Phys. Rev. Lett. 72, 52 (1994).
[CrossRef] [PubMed]

Imamoglu, A.

K.-J. Boller, A. Imamoglu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991); S. E. Harris, J. E. Field, A. Kasapi, Phys. Rev. A 46, R29 (1992); S. E. Harris, Phys. Rev. Lett. 70, 552 (1993); S. E. Harris, Phys. Rev. Lett. 72, 52 (1994).
[CrossRef] [PubMed]

Jain, M.

Keitel, C. H.

M. Fleischhauer, C. H. Keitel, M. O. Scully, Phys. Rev. A 46, 1468 (1992).
[CrossRef] [PubMed]

Knight, P. L.

P. L. Knight, M. A. Lauder, B. J. Dalton, Phys. Reports 190, 1 (1990).
[CrossRef]

Lambropoulos, P.

S. J. van Enk, J. Zhang, P. Lambropoulos, “The effect of the continuum on electromagnetically induced transparency with matched pulses,”Phys. Rev. A (to be published).

Lauder, M. A.

P. L. Knight, M. A. Lauder, B. J. Dalton, Phys. Reports 190, 1 (1990).
[CrossRef]

Pons, M. L.

J. H. Eberly, M. L. Pons, H. R. Haq, Phys. Rev. Lett. 72, 56 (1994).
[CrossRef] [PubMed]

Scully, M. O.

M. Fleischhauer, C. H. Keitel, M. O. Scully, Phys. Rev. A 46, 1468 (1992).
[CrossRef] [PubMed]

M. O. Scully, Phys. Rev. Lett. 67, 1855 (1991).
[CrossRef] [PubMed]

Stoicheff, B. P.

G. Z. Zhang, K. Hakuta, B. P. Stoicheff, Phys. Rev. Lett. 71, 3099 (1993).
[CrossRef] [PubMed]

van Enk, S. J.

S. J. van Enk, J. Zhang, P. Lambropoulos, “The effect of the continuum on electromagnetically induced transparency with matched pulses,”Phys. Rev. A (to be published).

Yin, G. Y.

Zhang, G. Z.

G. Z. Zhang, K. Hakuta, B. P. Stoicheff, Phys. Rev. Lett. 71, 3099 (1993).
[CrossRef] [PubMed]

Zhang, J.

S. J. van Enk, J. Zhang, P. Lambropoulos, “The effect of the continuum on electromagnetically induced transparency with matched pulses,”Phys. Rev. A (to be published).

Opt. Lett.

Phys. Reports

P. L. Knight, M. A. Lauder, B. J. Dalton, Phys. Reports 190, 1 (1990).
[CrossRef]

Phys. Rev. A

M. Fleischhauer, C. H. Keitel, M. O. Scully, Phys. Rev. A 46, 1468 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett.

K.-J. Boller, A. Imamoglu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991); S. E. Harris, J. E. Field, A. Kasapi, Phys. Rev. A 46, R29 (1992); S. E. Harris, Phys. Rev. Lett. 70, 552 (1993); S. E. Harris, Phys. Rev. Lett. 72, 52 (1994).
[CrossRef] [PubMed]

G. S. Agarwal, Phys. Rev. Lett. 71, 1351 (1993).
[CrossRef] [PubMed]

M. Fleischhauer, Phys. Rev. Lett. 72, 989 (1994).
[CrossRef] [PubMed]

J. H. Eberly, M. L. Pons, H. R. Haq, Phys. Rev. Lett. 72, 56 (1994).
[CrossRef] [PubMed]

M. O. Scully, Phys. Rev. Lett. 67, 1855 (1991).
[CrossRef] [PubMed]

G. Z. Zhang, K. Hakuta, B. P. Stoicheff, Phys. Rev. Lett. 71, 3099 (1993).
[CrossRef] [PubMed]

Other

All summations are to be taken to include integration over the continuum.

This is also the requirement for EIT in a three-state absorbing medium.

S. J. van Enk, J. Zhang, P. Lambropoulos, “The effect of the continuum on electromagnetically induced transparency with matched pulses,”Phys. Rev. A (to be published).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (1)

Fig. 1
Fig. 1

Energy-level schematic for refractive-index control.

Equations (20)

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

E p ( z , t ) = Re [ E p f ( z , t ) exp j ( ω p t k p z ) ] , E c ( z , t ) = Re [ E c g ( z , t ) exp j ( ω c t k c z ) ] .
a 1 t = j ( i Ω 1 i 2 a i ) f ,
a 2 t + j Δ ω ˜ 2 a 2 = j ( i Ω 2 i 2 a i ) g ,
a i t + j Δ ω i a i = j 2 Ω 1 i a 1 f * + j 2 Ω 2 i a 2 g * .
A = i Ω 1 i 2 2 Δ ω i = E p 2 ћ 2 i μ 1 i 2 2 Δ ω i , D = i Ω 2 i 2 2 Δ ω i = E c 2 ћ 2 i μ 2 i 2 2 Δ ω i , B = C = i Ω 1 i Ω 2 i 2 Δ ω i = E p E c ћ 2 i μ 1 i μ 2 i 2 Δ ω i ,
a 1 t = j A 2 a 1 | f | 2 + j B 2 a 2 fg * ,
a 2 t + j Δ w ˜ 2 a 2 = j C 2 a 1 gf * + j D 2 a 2 | g | 2 .
( z + 1 c t ) f = j β p ( | a 1 | 2 f + B A a 1 a 2 * g ) ,
( z + 1 c t ) g = j β c ( | a 2 | 2 g + C D a 1 * a 2 f ) .
a 2 = n = 1 j ( n 1 ) 2 C [ Δ ω ˜ 2 ( D / 2 ) ] n n 1 f * t n 1 .
K BC A = E c 2 ћ 2 [ i ( μ 1 i μ 2 i / 2 Δ ω i ) ] 2 i ( μ 1 i 2 / 2 Δ ω i ) .
( z + 1 V G t ) f = j ξ β p f ,
ξ = 1 + K 2 1 [ Δ ω ˜ 2 * ( D / 2 ) ] ,
1 V G = 1 c + K 2 1 [ Δ ω ˜ 2 * ( D / 2 ) ] 2 β p .
δ ω 2 = ½ [ D ( BC / A ) ] = ½ ( D K ) ξ = 0 ,
ξ weak-field = 1 j K Γ 2 + + .
ξ weak-field = j Γ 2 K + + .
E c / A = P c A L ( 1 V G 1 c ) = P c A L ( 2 β p K ) = R ћ ω c NL ,
R = ω p ω c [ i ( μ 1 i 2 / 2 Δ ω i ) ] 2 [ i ( μ 1 i μ 2 i / 2 Δ ω i ) ] 2 .
P c A = Γ 2 2 R ћ ω c NL .

Metrics