Abstract

We report generation of four-wave mixing enhanced by electromagnetically induced transparency and optical pumping in a ladder-type atomic system. When two pumping laser beams are used to form a conjugate small-angle static grating, both four-wave and six-wave mixing processes are shown to exist at the same time. Interference between these two nonlinear wave-mixing signals is experimentally demonstrated.

© 2007 Optical Society of America

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  1. P. R. Hemmer, D. P. Katz, J. Donoghue, M. Cronin-Golomb, M. S. Shahriar, and P. Kumar, Opt. Lett. 20, 982 (1995).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  3. V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
    [CrossRef]
  4. D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
    [CrossRef] [PubMed]
  5. H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. A 70, R061804 (2004).
    [CrossRef]
  6. S. E. Harris, Phys. Today 50(7), 36 (1997).
    [CrossRef]
  7. J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
    [CrossRef] [PubMed]
  8. H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. Lett. 93, 073601 (2004).
    [CrossRef] [PubMed]
  9. Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
    [CrossRef] [PubMed]
  10. H. Ma and C. B. de Araujo, Phys. Rev. Lett. 71, 3649 (1993).
    [CrossRef] [PubMed]
  11. D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 108, 3897 (1998).
    [CrossRef]
  12. A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
    [CrossRef]

2006 (1)

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

2004 (3)

D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. A 70, R061804 (2004).
[CrossRef]

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. Lett. 93, 073601 (2004).
[CrossRef] [PubMed]

2002 (1)

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
[CrossRef]

1999 (1)

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

1998 (1)

D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 108, 3897 (1998).
[CrossRef]

1997 (1)

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

1996 (1)

1995 (2)

1993 (1)

H. Ma and C. B. de Araujo, Phys. Rev. Lett. 71, 3649 (1993).
[CrossRef] [PubMed]

Albrecht, A. C.

D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 108, 3897 (1998).
[CrossRef]

Balic, V.

D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Braje, D. A.

D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Cronin-Golomb, M.

de Araujo, C. B.

H. Ma and C. B. de Araujo, Phys. Rev. Lett. 71, 3649 (1993).
[CrossRef] [PubMed]

Donoghue, J.

Fry, E. S.

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

Fu, G. S.

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

Fu, P. M.

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

Gea-Banacloche, J.

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Goda, S.

D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Harris, S. E.

D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

Hemmer, P. R.

Hernandez, G.

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. Lett. 93, 073601 (2004).
[CrossRef] [PubMed]

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. A 70, R061804 (2004).
[CrossRef]

Hollberg, L.

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

Jiang, Q.

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

Jin, S.

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Kang, H.

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. Lett. 93, 073601 (2004).
[CrossRef] [PubMed]

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. A 70, R061804 (2004).
[CrossRef]

Katz, D. P.

Kirkwood, J. C.

D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 108, 3897 (1998).
[CrossRef]

Kumar, P.

Li, Y.

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

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Liu, X.

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

Lukin, M. D.

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

Ma, H.

H. Ma and C. B. de Araujo, Phys. Rev. Lett. 71, 3649 (1993).
[CrossRef] [PubMed]

Matsko, A. B.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
[CrossRef]

Rostovtsev, Y.

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

Rostovtsev, Y. V.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
[CrossRef]

Sautenkov, V. A.

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

Scully, M. O.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
[CrossRef]

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

Shahriar, M. S.

Sun, J.

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

Ulness, D. J.

D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 108, 3897 (1998).
[CrossRef]

Welch, G. R.

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

Wu, L. A.

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

Xiao, M.

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

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Ye, C. Y.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
[CrossRef]

Yin, G. Y.

D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Zhu, Y. F.

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. A 70, R061804 (2004).
[CrossRef]

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. Lett. 93, 073601 (2004).
[CrossRef] [PubMed]

Zibrov, A. S.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
[CrossRef]

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

Zuo, Z. C.

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

J. Chem. Phys. (1)

D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 108, 3897 (1998).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (3)

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
[CrossRef]

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. A 70, R061804 (2004).
[CrossRef]

Phys. Rev. Lett. (5)

H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. Lett. 93, 073601 (2004).
[CrossRef] [PubMed]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. S. Fu, L. A. Wu, and P. M. Fu, Phys. Rev. Lett. 97, 193904 (2006).
[CrossRef] [PubMed]

H. Ma and C. B. de Araujo, Phys. Rev. Lett. 71, 3649 (1993).
[CrossRef] [PubMed]

V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 82, 5229 (1999).
[CrossRef]

D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Phys. Today (1)

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

(a) Five-level atomic system for the EIT- and optical pumping-assisted FWM process. (b) Five-level atomic system for generating co-existing FWM and SWM processes. (c) Three-dimensional beam geometry used in the experiment. (d) and (e) Typical FWM and SWM processes, respectively. The dashed–dotted lines ( E f and E s ) in (d) and (e) are the generated FWM and SWM signals, respectively.

Fig. 2
Fig. 2

(a) Enhancement evolution of the FWM amplitude versus the pumping field power P 3 . The experimental parameters are P 1 = 3.6 mW , P 2 = P 2 = 20 mW , P 3 = 0 , Δ 2 = 450 MHz , and λ 3 = 794.97 nm . (b) Measured FWM signal intensity versus the pump frequency detuning Δ 2 for selected probe field detunings. ( P 1 = 3.6 mW , P 2 = P 2 = 130 mW , P 3 = P 3 = 0 , and Δ 1 = 250 , 0 , 250 MHz ).

Fig. 3
Fig. 3

(a) Measured coexisting SWM (left peak) and FWM (right peak) signal intensities. (b) Theoretical plots of coexisting SWM and FWM versus Δ 1 showing interference. The parameters are P 1 = 3.6 mW , P 2 = 33 mW , P 2 = 0 , P 3 = P 3 = 70 mW , Γ 10 = Γ 30 = 2 π × 3 MHz , Γ 20 2 π = 0.5 MHz , ζ = 0.98 , Δ 3 = 285 MHz , and Δ 2 = 385 , 285 , 135 , 0 , 195 , 315 MHz .

Equations (2)

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I ( Δ 1 ) χ ( 3 ) 2 + η 2 χ ( 5 ) 2 + 2 η χ ( 3 ) χ ( 5 ) cos ( θ F θ S ) ,
θ F θ S = ( π 2 Δ 1 ζ + Δ 3 Γ 30 + Γ 10 ζ ) [ tan 1 ( Γ 10 2 Δ 2 2 2 Γ 10 Δ 2 ) ( Γ 10 2 + 2 Γ 10 Γ 20 + Δ 2 2 ) ( Δ 1 + Δ 2 ) Γ 20 ( Γ 10 2 + Δ 2 2 ) ] ,

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