Abstract

The nonlinear response of an autoionizing medium in which coherence is established essentially by nonradiative interactions is analyzed. It is found that, by proper tuning of two radiation fields, the third-order nonlinearities can be enhanced while the absorption is canceled. The proposed scheme is particularly useful for enhancing nonlinearities in the VUV region.

© 2000 Optical Society of America

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References

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  1. S. E. Harris, Phys. Rev. Lett. 62, 1033 (1989).
    [CrossRef] [PubMed]
  2. S.-Y. Zhu and E. E. Fill, Phys. Rev. A 42, 5684 (1990).
    [CrossRef] [PubMed]
  3. K.-J. Boller, A. Imamoǧlu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
    [CrossRef] [PubMed]
  4. M. O. Scully, Phys. Rev. Lett. 67, 1855 (1991).
    [CrossRef] [PubMed]
  5. U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993).
    [CrossRef] [PubMed]
  6. H. Schmidt and A. Imamoǧlu, Opt. Lett. 21, 1936 (1996).
    [CrossRef] [PubMed]
  7. K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
    [CrossRef]
  8. T. Nakajima, Phys. Rev. A 59, 559 (1999).
    [CrossRef]
  9. P. Lambropoulos and P. Zoller, Phys. Rev. A 24, 379 (1981).
    [CrossRef]
  10. S. J. van Enk, J. Zhang, and P. Lambropoulos, Phys. Rev. A 50, 3362 (1994).
    [CrossRef] [PubMed]
  11. E. Paspalakis, N. J. Kylstra, and P. L. Knight, Phys. Rev. A 60, 642 (1999).
    [CrossRef]
  12. T. Nakajima, Phys. Rev. A 60, 4805 (1999).
    [CrossRef]

1999 (3)

T. Nakajima, Phys. Rev. A 59, 559 (1999).
[CrossRef]

E. Paspalakis, N. J. Kylstra, and P. L. Knight, Phys. Rev. A 60, 642 (1999).
[CrossRef]

T. Nakajima, Phys. Rev. A 60, 4805 (1999).
[CrossRef]

1998 (1)

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

1996 (1)

1994 (1)

S. J. van Enk, J. Zhang, and P. Lambropoulos, Phys. Rev. A 50, 3362 (1994).
[CrossRef] [PubMed]

1993 (1)

U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993).
[CrossRef] [PubMed]

1991 (2)

K.-J. Boller, A. Imamoǧlu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef] [PubMed]

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

1990 (1)

S.-Y. Zhu and E. E. Fill, Phys. Rev. A 42, 5684 (1990).
[CrossRef] [PubMed]

1989 (1)

S. E. Harris, Phys. Rev. Lett. 62, 1033 (1989).
[CrossRef] [PubMed]

1981 (1)

P. Lambropoulos and P. Zoller, Phys. Rev. A 24, 379 (1981).
[CrossRef]

Bergmann, K.

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

Boller, K.-J.

K.-J. Boller, A. Imamoǧlu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef] [PubMed]

Fill, E. E.

S.-Y. Zhu and E. E. Fill, Phys. Rev. A 42, 5684 (1990).
[CrossRef] [PubMed]

Fleischhauer, M.

U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993).
[CrossRef] [PubMed]

Hänsch, T. W.

U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993).
[CrossRef] [PubMed]

Harris, S. E.

K.-J. Boller, A. Imamoǧlu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef] [PubMed]

S. E. Harris, Phys. Rev. Lett. 62, 1033 (1989).
[CrossRef] [PubMed]

Imamoglu, A.

H. Schmidt and A. Imamoǧlu, Opt. Lett. 21, 1936 (1996).
[CrossRef] [PubMed]

K.-J. Boller, A. Imamoǧlu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef] [PubMed]

Knight, P. L.

E. Paspalakis, N. J. Kylstra, and P. L. Knight, Phys. Rev. A 60, 642 (1999).
[CrossRef]

Kylstra, N. J.

E. Paspalakis, N. J. Kylstra, and P. L. Knight, Phys. Rev. A 60, 642 (1999).
[CrossRef]

Lambropoulos, P.

S. J. van Enk, J. Zhang, and P. Lambropoulos, Phys. Rev. A 50, 3362 (1994).
[CrossRef] [PubMed]

P. Lambropoulos and P. Zoller, Phys. Rev. A 24, 379 (1981).
[CrossRef]

Nakajima, T.

T. Nakajima, Phys. Rev. A 60, 4805 (1999).
[CrossRef]

T. Nakajima, Phys. Rev. A 59, 559 (1999).
[CrossRef]

Paspalakis, E.

E. Paspalakis, N. J. Kylstra, and P. L. Knight, Phys. Rev. A 60, 642 (1999).
[CrossRef]

Rathe, U.

U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993).
[CrossRef] [PubMed]

Schmidt, H.

Scully, M. O.

U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993).
[CrossRef] [PubMed]

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

Shore, B. W.

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

Theuer, H.

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

van Enk, S. J.

S. J. van Enk, J. Zhang, and P. Lambropoulos, Phys. Rev. A 50, 3362 (1994).
[CrossRef] [PubMed]

Zhang, J.

S. J. van Enk, J. Zhang, and P. Lambropoulos, Phys. Rev. A 50, 3362 (1994).
[CrossRef] [PubMed]

Zhu, S.-Y.

U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993).
[CrossRef] [PubMed]

S.-Y. Zhu and E. E. Fill, Phys. Rev. A 42, 5684 (1990).
[CrossRef] [PubMed]

Zoller, P.

P. Lambropoulos and P. Zoller, Phys. Rev. A 24, 379 (1981).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (7)

S.-Y. Zhu and E. E. Fill, Phys. Rev. A 42, 5684 (1990).
[CrossRef] [PubMed]

U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993).
[CrossRef] [PubMed]

T. Nakajima, Phys. Rev. A 59, 559 (1999).
[CrossRef]

P. Lambropoulos and P. Zoller, Phys. Rev. A 24, 379 (1981).
[CrossRef]

S. J. van Enk, J. Zhang, and P. Lambropoulos, Phys. Rev. A 50, 3362 (1994).
[CrossRef] [PubMed]

E. Paspalakis, N. J. Kylstra, and P. L. Knight, Phys. Rev. A 60, 642 (1999).
[CrossRef]

T. Nakajima, Phys. Rev. A 60, 4805 (1999).
[CrossRef]

Phys. Rev. Lett. (3)

K.-J. Boller, A. Imamoǧlu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[CrossRef] [PubMed]

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

S. E. Harris, Phys. Rev. Lett. 62, 1033 (1989).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Four-level scheme proposed by Schmidt and Imamoǧlu to enhance the Kerr-type nonlinearity.6 |2 and |2 are strongly coupled by the laser field.

Fig. 2
Fig. 2

Proposed quasi-three-level scheme: An autoionizing quasi-three-level system (a) can be decomposed into two bound states, |1 and |3, and a discrete state |2 coupled to continuum |c by nonradiative configuration interaction V (b).

Equations (18)

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σ·11=-γ1σ11+2 ImΩ˜1σ21+λ2σ22+λ33σ33+λcσcc,
σ·22=-λ2+Γ2σ22-2 ImΩ˜1*σ21+2 ImΩ˜2σ32,
σ·33=-λ3+γ3σ33-2 ImΩ˜2*σ32,
σ·21=iδ1-12γ1+λ2+Γ2σ21-iΩ˜1σ11+iΩ˜1*σ22-iΩ˜2σ31,
σ·31=iδ1+δ2-12γ1+λ3+γ3σ31-iΩ˜2σ21+iΩ˜1*σ32,
σ·32=iδ2-12λ2+Γ2+λ3+γ3σ32-iΩ˜2σ22+iΩ˜2*σ33+iΩ˜1σ31,
σ213=Ω˜1σ112-Ω˜1*σ222+Ω˜2σ312-iγ1σ211/2δ1+iλ2+Γ2/2,
σ323=Ω˜2σ222-Ω˜1*σ312δ2+iλ2+λ3+Γ2/2.
Pωa=μ12σ21+cμ1σc1χ1a+χSPM3a3+χXPM3ab2+,
χ1aμ12σ211+cμ1cσc11,
χSPM3a3+χXPM3ab2μ12σ213+cμ1cσc13.
σc11=1δcDc1σ110+Vc2σ211,
σc13=1δcDc1σ112+Vc2σ213+Dc3σ312.
χSPM3a3=-μ˜122aσ112+μ˜122aσ222-iγ1a2σ211/2δ1+iλ2+Γ2/2-s1-iγ12aσ112,
χXPM3ab2=-μ˜12μ˜23bσ312δ1+iλ2+Γ2/2-μ˜132bσ312,
χSPM3δ1=δ10=-8μ124q1Γ232-λ2λc-iq11-λ2λc+s1-iγ124μ122q1Γ221-λ2λc.
χXPM3δ1=δ10,δ2=μ12μ˜23μ12μ˜23-q1Γ2/2μ˜132q1Γ2/22δ2-q1Γ2/2+iλ3/2.
μ12μ˜23μ12μ˜23-q1Γ2/2μ˜132q1Γ2/22δ2-q2Γ2/2+iλ3/2,

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