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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    [CrossRef]
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  5. H. Kang, G. Hernandez, and Y. F. Zhu, Phys. Rev. A 70, R061804 (2004).
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    [CrossRef]
  7. J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  11. D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 108, 3897 (1998).
    [CrossRef]
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    [CrossRef]

2006

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

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

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

1999

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

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

1997

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

1996

1995

1993

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.

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

Opt. Lett.

Phys. Rev. A

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.

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

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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