Abstract

We propose and analyze a hyper-Raman scheme for generation of coherent light in a five-level atomic system based on electromagnetically induced transparency (EIT). We show that EIT suppresses linear and nonlinear photon absorption and enables the hyper-Raman process to proceed through real, near-resonant intermediate states. The scheme greatly enhances hyper-Raman efficiency and may be used for generating short-wavelength radiation at low pump intensities.

© 2003 Optical Society of America

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  1. E. Arimondo, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), pp. 257–354.
    [CrossRef]
  2. M. Jain, A. J. Merriam, K. Kasapi, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 75, 4385 (1995).
    [CrossRef] [PubMed]
  3. M. D. Lukin, P. R. Hemmer, M. Loffler, and M. O. Scully, Phys. Rev. Lett. 81, 2675 (1998).
    [CrossRef]
  4. A. S. Zibrov, M. D. Lukin, L. Hollberg, and M. O. Scully, Phys. Rev. A 65, 051801(R) (2002).
    [CrossRef]
  5. Y. Li and M. Xiao, Opt. Lett. 21, 1064 (1996).
    [CrossRef] [PubMed]
  6. H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
    [CrossRef]
  7. S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
    [CrossRef]
  8. G. S. Agarwal and W. Harshawardhan, Phys. Rev. Lett. 77, 1039 (1996).
    [CrossRef] [PubMed]
  9. J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
    [CrossRef]
  10. M. Yan, E. Rickey, and Y. Zhu, Phys. Rev. A 64, 043807 (2001).
    [CrossRef]
  11. S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
    [CrossRef] [PubMed]
  12. G. S. Agarwal and S. P. Tewari, Phys. Rev. Lett. 70, 1417 (1993).
    [CrossRef] [PubMed]
  13. G. Z. Zhang, K. Hakuta, and B. P. Stoicheff, Phys. Rev. Lett. 71, 3099 (1993).
    [CrossRef] [PubMed]
  14. C. Dorman, I. Kucukkara, and J. P. Marangos, Phys. Rev. A 61, 13802 (1999).
    [CrossRef]
  15. L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
    [CrossRef]

2002 (2)

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

L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
[CrossRef]

2001 (2)

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef]

M. Yan, E. Rickey, and Y. Zhu, Phys. Rev. A 64, 043807 (2001).
[CrossRef]

2000 (1)

J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
[CrossRef]

1999 (2)

C. Dorman, I. Kucukkara, and J. P. Marangos, Phys. Rev. A 61, 13802 (1999).
[CrossRef]

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

1998 (1)

M. D. Lukin, P. R. Hemmer, M. Loffler, and M. O. Scully, Phys. Rev. Lett. 81, 2675 (1998).
[CrossRef]

1996 (2)

Y. Li and M. Xiao, Opt. Lett. 21, 1064 (1996).
[CrossRef] [PubMed]

G. S. Agarwal and W. Harshawardhan, Phys. Rev. Lett. 77, 1039 (1996).
[CrossRef] [PubMed]

1995 (1)

M. Jain, A. J. Merriam, K. Kasapi, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 75, 4385 (1995).
[CrossRef] [PubMed]

1993 (2)

G. S. Agarwal and S. P. Tewari, Phys. Rev. Lett. 70, 1417 (1993).
[CrossRef] [PubMed]

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

1990 (1)

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef] [PubMed]

Agarwal, G. S.

G. S. Agarwal and W. Harshawardhan, Phys. Rev. Lett. 77, 1039 (1996).
[CrossRef] [PubMed]

G. S. Agarwal and S. P. Tewari, Phys. Rev. Lett. 70, 1417 (1993).
[CrossRef] [PubMed]

Arimondo, E.

E. Arimondo, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), pp. 257–354.
[CrossRef]

Chen, K.

J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
[CrossRef]

Deng, L.

L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
[CrossRef]

Dorman, C.

C. Dorman, I. Kucukkara, and J. P. Marangos, Phys. Rev. A 61, 13802 (1999).
[CrossRef]

Field, J. E.

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef] [PubMed]

Gao, J.

J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
[CrossRef]

Goorskey, D.

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef]

Guo, X.

J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
[CrossRef]

Hagley, E. W.

L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
[CrossRef]

Hakuta, K.

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

Harris, S. E.

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

M. Jain, A. J. Merriam, K. Kasapi, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 75, 4385 (1995).
[CrossRef] [PubMed]

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef] [PubMed]

Harshawardhan, W.

G. S. Agarwal and W. Harshawardhan, Phys. Rev. Lett. 77, 1039 (1996).
[CrossRef] [PubMed]

Hau, L. V.

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

Hemmer, P. R.

M. D. Lukin, P. R. Hemmer, M. Loffler, and M. O. Scully, Phys. Rev. Lett. 81, 2675 (1998).
[CrossRef]

Hollberg, L.

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

Imamoglu, A.

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef] [PubMed]

Jain, M.

M. Jain, A. J. Merriam, K. Kasapi, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 75, 4385 (1995).
[CrossRef] [PubMed]

Kasapi, K.

M. Jain, A. J. Merriam, K. Kasapi, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 75, 4385 (1995).
[CrossRef] [PubMed]

Kozuma, M.

L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
[CrossRef]

Kucukkara, I.

C. Dorman, I. Kucukkara, and J. P. Marangos, Phys. Rev. A 61, 13802 (1999).
[CrossRef]

Li, Y.

Loffler, M.

M. D. Lukin, P. R. Hemmer, M. Loffler, and M. O. Scully, Phys. Rev. Lett. 81, 2675 (1998).
[CrossRef]

Lukin, M. D.

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

M. D. Lukin, P. R. Hemmer, M. Loffler, and M. O. Scully, Phys. Rev. Lett. 81, 2675 (1998).
[CrossRef]

Marangos, J. P.

C. Dorman, I. Kucukkara, and J. P. Marangos, Phys. Rev. A 61, 13802 (1999).
[CrossRef]

Merriam, A. J.

M. Jain, A. J. Merriam, K. Kasapi, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 75, 4385 (1995).
[CrossRef] [PubMed]

Payne, M. G.

L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
[CrossRef]

Rickey, E.

M. Yan, E. Rickey, and Y. Zhu, Phys. Rev. A 64, 043807 (2001).
[CrossRef]

Scully, M. O.

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

M. D. Lukin, P. R. Hemmer, M. Loffler, and M. O. Scully, Phys. Rev. Lett. 81, 2675 (1998).
[CrossRef]

Stoicheff, B. P.

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

Tewari, S. P.

G. S. Agarwal and S. P. Tewari, Phys. Rev. Lett. 70, 1417 (1993).
[CrossRef] [PubMed]

Wang, D.

J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
[CrossRef]

Wang, H.

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef]

Xiao, M.

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef]

Y. Li and M. Xiao, Opt. Lett. 21, 1064 (1996).
[CrossRef] [PubMed]

Yan, M.

M. Yan, E. Rickey, and Y. Zhu, Phys. Rev. A 64, 043807 (2001).
[CrossRef]

Yang, S.

J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
[CrossRef]

Yin, G. Y.

M. Jain, A. J. Merriam, K. Kasapi, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 75, 4385 (1995).
[CrossRef] [PubMed]

Zhang, G. Z.

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

Zhao, B.

J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
[CrossRef]

Zhu, Y.

M. Yan, E. Rickey, and Y. Zhu, Phys. Rev. A 64, 043807 (2001).
[CrossRef]

Zibrov, A. S.

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

Opt. Lett. (1)

Phys. Rev. A (4)

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

J. Gao, S. Yang, D. Wang, X. Guo, K. Chen, and B. Zhao, Phys. Rev. A 61, 023401 (2000).
[CrossRef]

M. Yan, E. Rickey, and Y. Zhu, Phys. Rev. A 64, 043807 (2001).
[CrossRef]

C. Dorman, I. Kucukkara, and J. P. Marangos, Phys. Rev. A 61, 13802 (1999).
[CrossRef]

Phys. Rev. Lett. (9)

L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
[CrossRef]

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[CrossRef] [PubMed]

G. S. Agarwal and S. P. Tewari, Phys. Rev. Lett. 70, 1417 (1993).
[CrossRef] [PubMed]

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

M. Jain, A. J. Merriam, K. Kasapi, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 75, 4385 (1995).
[CrossRef] [PubMed]

M. D. Lukin, P. R. Hemmer, M. Loffler, and M. O. Scully, Phys. Rev. Lett. 81, 2675 (1998).
[CrossRef]

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef]

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

G. S. Agarwal and W. Harshawardhan, Phys. Rev. Lett. 77, 1039 (1996).
[CrossRef] [PubMed]

Other (1)

E. Arimondo, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), pp. 257–354.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

EIT-enhanced hyper-Raman generation scheme.

Fig. 2
Fig. 2

Hyper-Raman field Eωm, single-photon absorption rate P2, two-photon absorption rate P3, and three-photon absorption rate P4 versus the frequency detuning of the first pump field ωp. Control field ωc is on resonance. Other parameter values are Ωc=0.5γ2, Ωp=Ω1=Ω2=0.02γ2, γ3=0.2γ2, γ4=0.1γ2, γ1=0.001γ2, Δω32=Δω43=0, and ND142ωmL/4cϵ0=1. For comparison, all curves are scaled to have approximately the same magnitude. Raman field Eωm is maximized near the EIT center, where single-photon absorption and two-photon absorption are largely suppressed.

Equations (10)

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

t+γ1-iΔωcA1=iΩcA2+iΩmA4,
t+γ2-iΔωpA2=iΩpA0+iΩcA1+iΩ1A3,
t+γ3-iΔω3A3=iΩ1A2+iΩ2 expiδk·rA4,
t+γ4-iΔω4A4=iΩ2 exp-iδk·rA3+iΩmA1,
t+VgzEm=iωmVgP/2c,
Eωm|z=L=Fωmexpiωm/2cχωmL-exp-iδk·Lωmχωm+2cδk.
P2=Δωp2gΔωp,
P3=Δωp2Ω12gΔωpf3Δωp,
P4=Δωp2Ω1Ω22gΔωpf3Δωpf4Δωp,
pmpp=3ωpσ14σ02γ2γ4NLΩpΩ1Ω2ΩcΔωp24ωmΔωp2+γ322Δωp2+γ422×Δωp2-γ3γ42+γ3+γ42Δωp2Δωp2-Ωc22+γ22Δωp22,

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