Abstract

We analyze a lifetime-broadened four-state four-wave-mixing (FWM) scheme in the ultraslow propagation regime and show that the generated FWM field can acquire the same group velocity and pulse shape as those of an ultraslow pump field. We show that a new type of induced transparency resulted from multiphoton destructive interference that significantly reduced the pump field loss. Such induced transparency based on multphoton destructive interference may have important applications in other nonlinear optical processes.

© 2004 Optical Society of America

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  1. S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
    [CrossRef]
  2. M. D. Lukin and A. Imamoglu, Phys. Rev. Lett. 84, 1419 (2000).
    [CrossRef] [PubMed]
  3. L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
    [CrossRef]
  4. Y. Wu, J. Saldana, and Y. Zhu, Phys. Rev. A 67, 013811 (2003).
    [CrossRef]
  5. Y. Wu, L. Wen, and Y. Zhu, Opt. Lett. 28, 631 (2003).
    [CrossRef] [PubMed]
  6. Y. Zhu, J. Saldana, L. Wen, and Y. Wu, J. Opt. Soc. Am. B 21, 806 (2004).
    [CrossRef]
  7. L. Deng and M. G. Payne, Phys. Rev. A 68, 051801(R) (2003).
    [CrossRef]
  8. J. C. Miller, R. N. Compton, M. G. Payne, and W. R. Garrett, Phys. Rev. Lett. 45, 114 (1980).
    [CrossRef]
  9. D. J. Jackson and J. J. Wayne, Phys. Rev. Lett. 49, 543 (1982).
    [CrossRef]
  10. L. Deng and M. G. Payne, Phys. Rev. Lett. 91, 243902 (2003).
    [CrossRef]
  11. M. G. Payne and L. Deng, Phys. Rev. Lett. 91, 123602 (2003).
    [CrossRef]
  12. Y. Wu and L. Deng, Opt. Lett. 29, 1144 (2004).
    [CrossRef] [PubMed]
  13. J. Wang, Y. Zhu, K. J. Jiang, and M. S. Zhan, Phys. Rev. A 68, 063810 (2003).
    [CrossRef]
  14. A. S. Zibrov, C. Y. Ye, Y. V. Rostovsev, A. B. Matsko, and M. O. Scully, Phys. Rev. A 65, 043817 (2002).
    [CrossRef]
  15. A. B. Matsko, I. Novikova, G. R. Welch, and M. S. Zubairy, Opt. Lett. 28, 96 (2003).
    [CrossRef] [PubMed]
  16. M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. Atom. Mol. Opt. Phys. 42, 347 (2000).
    [CrossRef]
  17. M. Yan, E. G. Rickey, and Y. Zhu, Phys. Rev. A 64, 043807 (2001).
    [CrossRef]
  18. S. E. Harris, Phys. Today 50(7), 36 (1997).
    [CrossRef]
  19. S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
    [CrossRef] [PubMed]
  20. A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 85, 562 (2000).
    [CrossRef] [PubMed]
  21. G. S. Agarwal and S. P. Tewari, Phys. Rev. Lett. 70, 1417 (1993).
    [CrossRef] [PubMed]

2004 (2)

2003 (7)

Y. Wu, J. Saldana, and Y. Zhu, Phys. Rev. A 67, 013811 (2003).
[CrossRef]

L. Deng and M. G. Payne, Phys. Rev. A 68, 051801(R) (2003).
[CrossRef]

L. Deng and M. G. Payne, Phys. Rev. Lett. 91, 243902 (2003).
[CrossRef]

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

J. Wang, Y. Zhu, K. J. Jiang, and M. S. Zhan, Phys. Rev. A 68, 063810 (2003).
[CrossRef]

A. B. Matsko, I. Novikova, G. R. Welch, and M. S. Zubairy, Opt. Lett. 28, 96 (2003).
[CrossRef] [PubMed]

Y. Wu, L. Wen, and Y. Zhu, Opt. Lett. 28, 631 (2003).
[CrossRef] [PubMed]

2002 (2)

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

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

2001 (1)

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

2000 (3)

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 85, 562 (2000).
[CrossRef] [PubMed]

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. Atom. Mol. Opt. Phys. 42, 347 (2000).
[CrossRef]

M. D. Lukin and A. Imamoglu, Phys. Rev. Lett. 84, 1419 (2000).
[CrossRef] [PubMed]

1999 (1)

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

1997 (1)

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

1993 (1)

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

1990 (1)

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

1982 (1)

D. J. Jackson and J. J. Wayne, Phys. Rev. Lett. 49, 543 (1982).
[CrossRef]

1980 (1)

J. C. Miller, R. N. Compton, M. G. Payne, and W. R. Garrett, Phys. Rev. Lett. 45, 114 (1980).
[CrossRef]

Agarwal, G. S.

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

Compton, R. N.

J. C. Miller, R. N. Compton, M. G. Payne, and W. R. Garrett, Phys. Rev. Lett. 45, 114 (1980).
[CrossRef]

Deng, L.

Y. Wu and L. Deng, Opt. Lett. 29, 1144 (2004).
[CrossRef] [PubMed]

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

L. Deng and M. G. Payne, Phys. Rev. Lett. 91, 243902 (2003).
[CrossRef]

L. Deng and M. G. Payne, Phys. Rev. A 68, 051801(R) (2003).
[CrossRef]

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

Field, J. E.

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

Garrett, W. R.

J. C. Miller, R. N. Compton, M. G. Payne, and W. R. Garrett, Phys. Rev. Lett. 45, 114 (1980).
[CrossRef]

Hagley, E. W.

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

Harris, S. E.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 85, 562 (2000).
[CrossRef] [PubMed]

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

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

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).
[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, and M. O. Scully, Adv. Atom. Mol. Opt. Phys. 42, 347 (2000).
[CrossRef]

Imamoglu, A.

M. D. Lukin and A. Imamoglu, Phys. Rev. Lett. 84, 1419 (2000).
[CrossRef] [PubMed]

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

Jackson, D. J.

D. J. Jackson and J. J. Wayne, Phys. Rev. Lett. 49, 543 (1982).
[CrossRef]

Jiang, K. J.

J. Wang, Y. Zhu, K. J. Jiang, and M. S. Zhan, Phys. Rev. A 68, 063810 (2003).
[CrossRef]

Kozuma, M.

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

Lukin, M. D.

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. Atom. Mol. Opt. Phys. 42, 347 (2000).
[CrossRef]

M. D. Lukin and A. Imamoglu, Phys. Rev. Lett. 84, 1419 (2000).
[CrossRef] [PubMed]

Matsko, A. B.

A. B. Matsko, I. Novikova, G. R. Welch, and M. S. Zubairy, Opt. Lett. 28, 96 (2003).
[CrossRef] [PubMed]

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

Miller, J. C.

J. C. Miller, R. N. Compton, M. G. Payne, and W. R. Garrett, Phys. Rev. Lett. 45, 114 (1980).
[CrossRef]

Novikova, I.

Payne, M. G.

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

L. Deng and M. G. Payne, Phys. Rev. Lett. 91, 243902 (2003).
[CrossRef]

L. Deng and M. G. Payne, Phys. Rev. A 68, 051801(R) (2003).
[CrossRef]

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

J. C. Miller, R. N. Compton, M. G. Payne, and W. R. Garrett, Phys. Rev. Lett. 45, 114 (1980).
[CrossRef]

Rickey, E. G.

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

Rostovsev, Y. V.

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

Saldana, J.

Y. Zhu, J. Saldana, L. Wen, and Y. Wu, J. Opt. Soc. Am. B 21, 806 (2004).
[CrossRef]

Y. Wu, J. Saldana, and Y. Zhu, Phys. Rev. A 67, 013811 (2003).
[CrossRef]

Scully, M. O.

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

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. Atom. Mol. Opt. Phys. 42, 347 (2000).
[CrossRef]

Sokolov, A. V.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 85, 562 (2000).
[CrossRef] [PubMed]

Tewari, S. P.

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

Walker, D. R.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 85, 562 (2000).
[CrossRef] [PubMed]

Wang, J.

J. Wang, Y. Zhu, K. J. Jiang, and M. S. Zhan, Phys. Rev. A 68, 063810 (2003).
[CrossRef]

Wayne, J. J.

D. J. Jackson and J. J. Wayne, Phys. Rev. Lett. 49, 543 (1982).
[CrossRef]

Welch, G. R.

Wen, L.

Wu, Y.

Yan, M.

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

Yavuz, D. D.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 85, 562 (2000).
[CrossRef] [PubMed]

Ye, C. Y.

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

Yin, G. Y.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 85, 562 (2000).
[CrossRef] [PubMed]

Zhan, M. S.

J. Wang, Y. Zhu, K. J. Jiang, and M. S. Zhan, Phys. Rev. A 68, 063810 (2003).
[CrossRef]

Zhu, Y.

Y. Zhu, J. Saldana, L. Wen, and Y. Wu, J. Opt. Soc. Am. B 21, 806 (2004).
[CrossRef]

Y. Wu, J. Saldana, and Y. Zhu, Phys. Rev. A 67, 013811 (2003).
[CrossRef]

J. Wang, Y. Zhu, K. J. Jiang, and M. S. Zhan, Phys. Rev. A 68, 063810 (2003).
[CrossRef]

Y. Wu, L. Wen, and Y. Zhu, Opt. Lett. 28, 631 (2003).
[CrossRef] [PubMed]

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

Zibrov, A. S.

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

Zubairy, M. S.

Adv. Atom. Mol. Opt. Phys. (1)

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. Atom. Mol. Opt. Phys. 42, 347 (2000).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Lett. (3)

Phys. Rev. A (5)

J. Wang, Y. Zhu, K. J. Jiang, and M. S. Zhan, Phys. Rev. A 68, 063810 (2003).
[CrossRef]

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

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

Y. Wu, J. Saldana, and Y. Zhu, Phys. Rev. A 67, 013811 (2003).
[CrossRef]

L. Deng and M. G. Payne, Phys. Rev. A 68, 051801(R) (2003).
[CrossRef]

Phys. Rev. Lett. (10)

J. C. Miller, R. N. Compton, M. G. Payne, and W. R. Garrett, Phys. Rev. Lett. 45, 114 (1980).
[CrossRef]

D. J. Jackson and J. J. Wayne, Phys. Rev. Lett. 49, 543 (1982).
[CrossRef]

L. Deng and M. G. Payne, Phys. Rev. Lett. 91, 243902 (2003).
[CrossRef]

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

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

M. D. Lukin and A. Imamoglu, Phys. Rev. Lett. 84, 1419 (2000).
[CrossRef] [PubMed]

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]

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 85, 562 (2000).
[CrossRef] [PubMed]

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

Phys. Today (1)

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

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Figures (2)

Fig. 1
Fig. 1

Lifetime-broadened four-level atomic system interacting with two cw fields Ωa,b;ωa,b, and a weak pulsed pump field Ωp;ωp to generate a FWM field Ωf;ωf.

Fig. 2
Fig. 2

Surface plots of 10-10α1/Λpτ2 (top) and 10-11α3/Λpτ2 (bottom) versus ωτ and Ωbτ for both small z (left, destructive interference is ineffective) and for large z (right, destructive interference is effective). Parameters: τ=10-6/s, Ωaτ=3, γ1τ=5.9, γ2τ=0.8, γ3τ=0.09, Δ1τ=Δ2τ=0, and Δ3τ=0.2. These parameters are experimentally achievable with typical magneto-optically trapped rubidium atoms.

Equations (11)

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

A1t=iΔ1+iγ1A1+iΩpA0+iΩb*A2,
A2t=iΔ2+iγ2A2+iΩa*A3+iΩbA1,
A3t=iΔ3+iγ3A3+iΩaA2+iΩfA0,
z+1ctΩpf=iκ0103A13A0*,
Ωpz,t=12π-exp-iωt×Λp0,ωU+ expizK--U- expizK+U+-U-,
Ωfz,t=12π-exp-iωt×U+U-Λp0,ωexpizK--expizK+U+-U-,
Ωpz,t=W+Ωpη-expzβ--W-Ωpη+expzβ+W+-W-,
Ωfz,t=W+W-Ωpη-expzβ--Ωpη+expzβ+W+-W-,
Ωpz,t=W-expzβ+W--W+Ωpt-zVg,
Ωfz,t=W+W-expzβ+W--W+Ωpt-zVg.
ηW+W-2W--W+2exp-ΓL,

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