Abstract

We show that application of self-induced transparency (SIT) solitons as a driving field in V-type electromagnetically induced transparency (EIT) leads to “mixed induced transparency” (MIT) that nicely combines the best features of both SIT and EIT.

© 2001 Optical Society of America

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  1. S. L. McCall and E. L. Hahn, “Self induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908 (1967).
    [Crossref]
  2. S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183457 (1969).
    [Crossref]
  3. M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).
    [Crossref]
  4. J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690 (1984).
    [Crossref]
  5. R. Grobe, F. T. Hioe, and J. H. Eberly, “Formation of shape-preserving pulses in a nonlinear adiabatically integrable system,” Phys. Rev. Lett. 73, 3183 (1994).
    [Crossref] [PubMed]
  6. S. E. Harris, “Electromagnetically induced tranparency with matched pulses,” Phys. Rev. Lett. 71, 552 (1993).
    [Crossref]
  7. S. E. Harris, “Normal-modes of electromagnetically induced transparency,” Phys. Rev. Lett. 72, 52 (1994).
    [Crossref] [PubMed]
  8. J. H. Eberly, M. L. Pons, and H. R. Haq, “Dressed-state pulses in an absorbing medium,” Phys. Rev. Lett. 72, 56 (1994).
    [Crossref] [PubMed]
  9. W. E. Lamb and R. C. Retherford, “Fine structure of the hydrogen atom. Part II,” Phys. Rev. 81, 222 (1951).
    [Crossref]
  10. A. Javan, “Theory of three-level maser,” Phys. Rev. 107, 1579 (1957).
    [Crossref]
  11. M. S. Feld and A. Javan, “Laser-induced line-narrowing effects in coupled Doppler-broadened transitions,” Phys. Rev. 177, 540 (1969).
    [Crossref]
  12. I. M. Beterov and V. P. Chebotaev, “Three-level gas laser,” Pis’ma Zh. Eksp. Teor. Fiz.9, 216 (1969) [Sov. Phys. JETP Lett.9, 127 (1969)].
  13. T. Hänch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).
    [Crossref]
  14. O. Kocharovskaya, “Amplificaton and lasing without inversion,” Phys. Rep. 219, 175 (1992).
    [Crossref]
  15. M. O. Scully, “From lasers and masers to phaseonium and phasers,” Phys. Rep. 219, 191 (1992).
    [Crossref]
  16. E. Arimondo, “Coherent population trapping in laser spectroscopy” in Progress in Optics edited by E. Wolf, Vol. XXXV, p.257 (Elsevier Science, Amsterdam, 1996).
    [Crossref]
  17. S. E. Harris, “Electromagnetically induced transparency,” Phys. Today p. 36, June (1997).
    [Crossref]
  18. J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471 (1998).
    [Crossref]
  19. J. Mompart and R. Corbalan, “Lasing without inversion,” Quantum Semiclass. Opt. 2, R7 (2000).
    [Crossref]
  20. S. E. Harris, J. E. Field, and A. Imamoglu, “Non-linear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107 (1990).
    [Crossref] [PubMed]
  21. K. Hakuta, L. Marmet, and B. P. Stoiche, “Electric-field-induced second harmonic generation with reduced absorption,” Phys. Rev. Lett. 66, 596 (1991).
    [Crossref] [PubMed]
  22. P. Hemmer, D. P. Katz, J. Donoghue, M. Cronin-Golomb, M. Shahriar, and P. Kumar, “Efficient low-intensity optical phase conjugation based on coherent population trapping in sodium,” Opt. Lett. 20, 982 (1995).
    [Crossref] [PubMed]
  23. M. Jain, M. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximum atomic coherence,” Phys. Rev. Lett. 77, 4326 (1996).
    [Crossref] [PubMed]
  24. A. S. Zibrov, M. D. Lukin, and M. O. Scully, “Nondegenerate parametric self-oscillation via multiwave mixing in coherent atomic media,” Phys. Rev. Lett. 83, 4049 (1999).
    [Crossref]
  25. A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85, 562 (2000).
    [Crossref] [PubMed]
  26. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).
  27. J. H. Eberly, “Optical pulse and pulse-train propagation in a resonant medium,” Phys. Rev. Lett. 22, 760 (1969).
    [Crossref]
  28. L. Matulic and J. H. Eberly, “Analytic study of pulse chirping in self-induced transparency,” Phys. Rev. A 6, 822 and 1258E (1972).
    [Crossref]
  29. G. L. Lamb, “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. 43, 99 (1971).
    [Crossref]
  30. A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Yu. M. Sklyarov, “Present state of self-induced transparency theory,” Phys. Rep. 191, 1 (1990).
    [Crossref]
  31. L. A. Bolshov and V. V. Likhanskii, “Coherent interaction between emission pulses and resonant multilevel media,” Kvantovaya Elektronika12, 1339 (1985) [Sov. J. Quantum Electron.15, 889 (1985)].
  32. A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).
    [Crossref]
  33. A. Rahman and J. H. Eberly, “Numerical experiments with optical pulses in V -type media,” Opt. Express 4, 133 (1999).
    [Crossref] [PubMed]
  34. G. S. Agarwal and J. H. Eberly, “Continuous-probe solutions for self-similar pulses in four-level systems,” Phys. Rev. A 60, 013404 (2000).
  35. V. V. Kozlov, P. G. Polynkin, and M. O. Scully, “Resonant Raman amplification of ultrashort pulses in a V-type medium,” Phys. Rev. A 59, 3060 (1999).
    [Crossref]
  36. N. V. Denisova, V. S. Egorov, V. V. Kozlov, N.M. Reutova, P. Yu. Serdobintsev, and E. E. Fradkin, “Weak-pulse transparency enhancement in an optically dense three-level medium induced by a 2π-pulse in a neighboring transition (V -scheme),” Zh. Eksp. Teor. Fiz.113, 71 (1998) [Sov. Phys. JETP86, 39 (1998)];
  37. V. V. Kozlov and E. E. Fradkin, “Coherent effects in ultrashort pulse propagation through an optically thick three-level medium,” Pis’ma Zh. Eksp. Teor. Fiz.68, 359 (1998) [Sov. Phys. JETP Lett.68, 383 (1998)].
  38. V. V. Kozlov and J. H. Eberly, “Ultrashort pulses in phaseonium: the interplay between SIT and EIT,” Opt. Commun. 179, 85 (2000).
    [Crossref]
  39. M. O. Scully and M. S. Zubairy, “Quantum Optics,” Cambridge Univ. Press (UK, 1997).
  40. G. S. Agarwal, M. O. Scully, and H. Walther, to be published.
  41. J. H. Eberly, “Area Theorem rederived,” Opt. Express 2, 173 (1998) http://www.opticsexpress.org/oearchive/source/4295.htm
    [Crossref] [PubMed]
  42. F. A. Hopf, G. L. Lamb, C. K. Rhodes, and M. O. Scully, “Some results on coherent radiative phenomena with 0π pulses,” Phys. Rev. A 3, 758 (1971).
    [Crossref]

2000 (4)

J. Mompart and R. Corbalan, “Lasing without inversion,” Quantum Semiclass. Opt. 2, R7 (2000).
[Crossref]

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85, 562 (2000).
[Crossref] [PubMed]

G. S. Agarwal and J. H. Eberly, “Continuous-probe solutions for self-similar pulses in four-level systems,” Phys. Rev. A 60, 013404 (2000).

V. V. Kozlov and J. H. Eberly, “Ultrashort pulses in phaseonium: the interplay between SIT and EIT,” Opt. Commun. 179, 85 (2000).
[Crossref]

1999 (3)

A. Rahman and J. H. Eberly, “Numerical experiments with optical pulses in V -type media,” Opt. Express 4, 133 (1999).
[Crossref] [PubMed]

V. V. Kozlov, P. G. Polynkin, and M. O. Scully, “Resonant Raman amplification of ultrashort pulses in a V-type medium,” Phys. Rev. A 59, 3060 (1999).
[Crossref]

A. S. Zibrov, M. D. Lukin, and M. O. Scully, “Nondegenerate parametric self-oscillation via multiwave mixing in coherent atomic media,” Phys. Rev. Lett. 83, 4049 (1999).
[Crossref]

1998 (3)

A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).
[Crossref]

J. H. Eberly, “Area Theorem rederived,” Opt. Express 2, 173 (1998) http://www.opticsexpress.org/oearchive/source/4295.htm
[Crossref] [PubMed]

J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471 (1998).
[Crossref]

1996 (1)

M. Jain, M. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximum atomic coherence,” Phys. Rev. Lett. 77, 4326 (1996).
[Crossref] [PubMed]

1995 (1)

1994 (3)

R. Grobe, F. T. Hioe, and J. H. Eberly, “Formation of shape-preserving pulses in a nonlinear adiabatically integrable system,” Phys. Rev. Lett. 73, 3183 (1994).
[Crossref] [PubMed]

S. E. Harris, “Normal-modes of electromagnetically induced transparency,” Phys. Rev. Lett. 72, 52 (1994).
[Crossref] [PubMed]

J. H. Eberly, M. L. Pons, and H. R. Haq, “Dressed-state pulses in an absorbing medium,” Phys. Rev. Lett. 72, 56 (1994).
[Crossref] [PubMed]

1993 (1)

S. E. Harris, “Electromagnetically induced tranparency with matched pulses,” Phys. Rev. Lett. 71, 552 (1993).
[Crossref]

1992 (2)

O. Kocharovskaya, “Amplificaton and lasing without inversion,” Phys. Rep. 219, 175 (1992).
[Crossref]

M. O. Scully, “From lasers and masers to phaseonium and phasers,” Phys. Rep. 219, 191 (1992).
[Crossref]

1991 (1)

K. Hakuta, L. Marmet, and B. P. Stoiche, “Electric-field-induced second harmonic generation with reduced absorption,” Phys. Rev. Lett. 66, 596 (1991).
[Crossref] [PubMed]

1990 (2)

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Yu. M. Sklyarov, “Present state of self-induced transparency theory,” Phys. Rep. 191, 1 (1990).
[Crossref]

S. E. Harris, J. E. Field, and A. Imamoglu, “Non-linear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107 (1990).
[Crossref] [PubMed]

1984 (1)

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690 (1984).
[Crossref]

1981 (1)

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).
[Crossref]

1972 (1)

L. Matulic and J. H. Eberly, “Analytic study of pulse chirping in self-induced transparency,” Phys. Rev. A 6, 822 and 1258E (1972).
[Crossref]

1971 (2)

G. L. Lamb, “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. 43, 99 (1971).
[Crossref]

F. A. Hopf, G. L. Lamb, C. K. Rhodes, and M. O. Scully, “Some results on coherent radiative phenomena with 0π pulses,” Phys. Rev. A 3, 758 (1971).
[Crossref]

1970 (1)

T. Hänch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).
[Crossref]

1969 (3)

M. S. Feld and A. Javan, “Laser-induced line-narrowing effects in coupled Doppler-broadened transitions,” Phys. Rev. 177, 540 (1969).
[Crossref]

S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183457 (1969).
[Crossref]

J. H. Eberly, “Optical pulse and pulse-train propagation in a resonant medium,” Phys. Rev. Lett. 22, 760 (1969).
[Crossref]

1967 (1)

S. L. McCall and E. L. Hahn, “Self induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908 (1967).
[Crossref]

1957 (1)

A. Javan, “Theory of three-level maser,” Phys. Rev. 107, 1579 (1957).
[Crossref]

1951 (1)

W. E. Lamb and R. C. Retherford, “Fine structure of the hydrogen atom. Part II,” Phys. Rev. 81, 222 (1951).
[Crossref]

Agarwal, G. S.

G. S. Agarwal and J. H. Eberly, “Continuous-probe solutions for self-similar pulses in four-level systems,” Phys. Rev. A 60, 013404 (2000).

G. S. Agarwal, M. O. Scully, and H. Walther, to be published.

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).

Arimondo, E.

E. Arimondo, “Coherent population trapping in laser spectroscopy” in Progress in Optics edited by E. Wolf, Vol. XXXV, p.257 (Elsevier Science, Amsterdam, 1996).
[Crossref]

Basharov, A. M.

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Yu. M. Sklyarov, “Present state of self-induced transparency theory,” Phys. Rep. 191, 1 (1990).
[Crossref]

Beterov, I. M.

I. M. Beterov and V. P. Chebotaev, “Three-level gas laser,” Pis’ma Zh. Eksp. Teor. Fiz.9, 216 (1969) [Sov. Phys. JETP Lett.9, 127 (1969)].

Bolshov, L. A.

L. A. Bolshov and V. V. Likhanskii, “Coherent interaction between emission pulses and resonant multilevel media,” Kvantovaya Elektronika12, 1339 (1985) [Sov. J. Quantum Electron.15, 889 (1985)].

Chebotaev, V. P.

I. M. Beterov and V. P. Chebotaev, “Three-level gas laser,” Pis’ma Zh. Eksp. Teor. Fiz.9, 216 (1969) [Sov. Phys. JETP Lett.9, 127 (1969)].

Corbalan, R.

J. Mompart and R. Corbalan, “Lasing without inversion,” Quantum Semiclass. Opt. 2, R7 (2000).
[Crossref]

Cronin-Golomb, M.

Denisova, N. V.

N. V. Denisova, V. S. Egorov, V. V. Kozlov, N.M. Reutova, P. Yu. Serdobintsev, and E. E. Fradkin, “Weak-pulse transparency enhancement in an optically dense three-level medium induced by a 2π-pulse in a neighboring transition (V -scheme),” Zh. Eksp. Teor. Fiz.113, 71 (1998) [Sov. Phys. JETP86, 39 (1998)];

Donoghue, J.

Eberly, J. H.

V. V. Kozlov and J. H. Eberly, “Ultrashort pulses in phaseonium: the interplay between SIT and EIT,” Opt. Commun. 179, 85 (2000).
[Crossref]

G. S. Agarwal and J. H. Eberly, “Continuous-probe solutions for self-similar pulses in four-level systems,” Phys. Rev. A 60, 013404 (2000).

A. Rahman and J. H. Eberly, “Numerical experiments with optical pulses in V -type media,” Opt. Express 4, 133 (1999).
[Crossref] [PubMed]

J. H. Eberly, “Area Theorem rederived,” Opt. Express 2, 173 (1998) http://www.opticsexpress.org/oearchive/source/4295.htm
[Crossref] [PubMed]

A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).
[Crossref]

R. Grobe, F. T. Hioe, and J. H. Eberly, “Formation of shape-preserving pulses in a nonlinear adiabatically integrable system,” Phys. Rev. Lett. 73, 3183 (1994).
[Crossref] [PubMed]

J. H. Eberly, M. L. Pons, and H. R. Haq, “Dressed-state pulses in an absorbing medium,” Phys. Rev. Lett. 72, 56 (1994).
[Crossref] [PubMed]

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690 (1984).
[Crossref]

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).
[Crossref]

L. Matulic and J. H. Eberly, “Analytic study of pulse chirping in self-induced transparency,” Phys. Rev. A 6, 822 and 1258E (1972).
[Crossref]

J. H. Eberly, “Optical pulse and pulse-train propagation in a resonant medium,” Phys. Rev. Lett. 22, 760 (1969).
[Crossref]

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).

Egorov, V. S.

N. V. Denisova, V. S. Egorov, V. V. Kozlov, N.M. Reutova, P. Yu. Serdobintsev, and E. E. Fradkin, “Weak-pulse transparency enhancement in an optically dense three-level medium induced by a 2π-pulse in a neighboring transition (V -scheme),” Zh. Eksp. Teor. Fiz.113, 71 (1998) [Sov. Phys. JETP86, 39 (1998)];

Elyutin, S. O.

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Yu. M. Sklyarov, “Present state of self-induced transparency theory,” Phys. Rep. 191, 1 (1990).
[Crossref]

Feld, M. S.

M. S. Feld and A. Javan, “Laser-induced line-narrowing effects in coupled Doppler-broadened transitions,” Phys. Rev. 177, 540 (1969).
[Crossref]

Field, J. E.

S. E. Harris, J. E. Field, and A. Imamoglu, “Non-linear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107 (1990).
[Crossref] [PubMed]

Fradkin, E. E.

N. V. Denisova, V. S. Egorov, V. V. Kozlov, N.M. Reutova, P. Yu. Serdobintsev, and E. E. Fradkin, “Weak-pulse transparency enhancement in an optically dense three-level medium induced by a 2π-pulse in a neighboring transition (V -scheme),” Zh. Eksp. Teor. Fiz.113, 71 (1998) [Sov. Phys. JETP86, 39 (1998)];

V. V. Kozlov and E. E. Fradkin, “Coherent effects in ultrashort pulse propagation through an optically thick three-level medium,” Pis’ma Zh. Eksp. Teor. Fiz.68, 359 (1998) [Sov. Phys. JETP Lett.68, 383 (1998)].

Grobe, R.

R. Grobe, F. T. Hioe, and J. H. Eberly, “Formation of shape-preserving pulses in a nonlinear adiabatically integrable system,” Phys. Rev. Lett. 73, 3183 (1994).
[Crossref] [PubMed]

Hahn, E. L.

S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183457 (1969).
[Crossref]

S. L. McCall and E. L. Hahn, “Self induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908 (1967).
[Crossref]

Hakuta, K.

K. Hakuta, L. Marmet, and B. P. Stoiche, “Electric-field-induced second harmonic generation with reduced absorption,” Phys. Rev. Lett. 66, 596 (1991).
[Crossref] [PubMed]

Hänch, T.

T. Hänch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).
[Crossref]

Haq, H. R.

J. H. Eberly, M. L. Pons, and H. R. Haq, “Dressed-state pulses in an absorbing medium,” Phys. Rev. Lett. 72, 56 (1994).
[Crossref] [PubMed]

Harris, S. E.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85, 562 (2000).
[Crossref] [PubMed]

M. Jain, M. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximum atomic coherence,” Phys. Rev. Lett. 77, 4326 (1996).
[Crossref] [PubMed]

S. E. Harris, “Normal-modes of electromagnetically induced transparency,” Phys. Rev. Lett. 72, 52 (1994).
[Crossref] [PubMed]

S. E. Harris, “Electromagnetically induced tranparency with matched pulses,” Phys. Rev. Lett. 71, 552 (1993).
[Crossref]

S. E. Harris, J. E. Field, and A. Imamoglu, “Non-linear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107 (1990).
[Crossref] [PubMed]

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today p. 36, June (1997).
[Crossref]

Hemmer, P.

Hioe, F. T.

R. Grobe, F. T. Hioe, and J. H. Eberly, “Formation of shape-preserving pulses in a nonlinear adiabatically integrable system,” Phys. Rev. Lett. 73, 3183 (1994).
[Crossref] [PubMed]

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690 (1984).
[Crossref]

Hopf, F. A.

F. A. Hopf, G. L. Lamb, C. K. Rhodes, and M. O. Scully, “Some results on coherent radiative phenomena with 0π pulses,” Phys. Rev. A 3, 758 (1971).
[Crossref]

Imamoglu, A.

S. E. Harris, J. E. Field, and A. Imamoglu, “Non-linear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107 (1990).
[Crossref] [PubMed]

Jain, M.

M. Jain, M. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximum atomic coherence,” Phys. Rev. Lett. 77, 4326 (1996).
[Crossref] [PubMed]

Javan, A.

M. S. Feld and A. Javan, “Laser-induced line-narrowing effects in coupled Doppler-broadened transitions,” Phys. Rev. 177, 540 (1969).
[Crossref]

A. Javan, “Theory of three-level maser,” Phys. Rev. 107, 1579 (1957).
[Crossref]

Katz, D. P.

Kocharovskaya, O.

O. Kocharovskaya, “Amplificaton and lasing without inversion,” Phys. Rep. 219, 175 (1992).
[Crossref]

Konopnicki, M. J.

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).
[Crossref]

Kozlov, V. V.

V. V. Kozlov and J. H. Eberly, “Ultrashort pulses in phaseonium: the interplay between SIT and EIT,” Opt. Commun. 179, 85 (2000).
[Crossref]

V. V. Kozlov, P. G. Polynkin, and M. O. Scully, “Resonant Raman amplification of ultrashort pulses in a V-type medium,” Phys. Rev. A 59, 3060 (1999).
[Crossref]

N. V. Denisova, V. S. Egorov, V. V. Kozlov, N.M. Reutova, P. Yu. Serdobintsev, and E. E. Fradkin, “Weak-pulse transparency enhancement in an optically dense three-level medium induced by a 2π-pulse in a neighboring transition (V -scheme),” Zh. Eksp. Teor. Fiz.113, 71 (1998) [Sov. Phys. JETP86, 39 (1998)];

V. V. Kozlov and E. E. Fradkin, “Coherent effects in ultrashort pulse propagation through an optically thick three-level medium,” Pis’ma Zh. Eksp. Teor. Fiz.68, 359 (1998) [Sov. Phys. JETP Lett.68, 383 (1998)].

Kumar, P.

Lamb, G. L.

F. A. Hopf, G. L. Lamb, C. K. Rhodes, and M. O. Scully, “Some results on coherent radiative phenomena with 0π pulses,” Phys. Rev. A 3, 758 (1971).
[Crossref]

G. L. Lamb, “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. 43, 99 (1971).
[Crossref]

Lamb, W. E.

W. E. Lamb and R. C. Retherford, “Fine structure of the hydrogen atom. Part II,” Phys. Rev. 81, 222 (1951).
[Crossref]

Likhanskii, V. V.

L. A. Bolshov and V. V. Likhanskii, “Coherent interaction between emission pulses and resonant multilevel media,” Kvantovaya Elektronika12, 1339 (1985) [Sov. J. Quantum Electron.15, 889 (1985)].

Lukin, M. D.

A. S. Zibrov, M. D. Lukin, and M. O. Scully, “Nondegenerate parametric self-oscillation via multiwave mixing in coherent atomic media,” Phys. Rev. Lett. 83, 4049 (1999).
[Crossref]

Maimistov, A. I.

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Yu. M. Sklyarov, “Present state of self-induced transparency theory,” Phys. Rep. 191, 1 (1990).
[Crossref]

Marangos, J. P.

J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471 (1998).
[Crossref]

Marmet, L.

K. Hakuta, L. Marmet, and B. P. Stoiche, “Electric-field-induced second harmonic generation with reduced absorption,” Phys. Rev. Lett. 66, 596 (1991).
[Crossref] [PubMed]

Matulic, L.

L. Matulic and J. H. Eberly, “Analytic study of pulse chirping in self-induced transparency,” Phys. Rev. A 6, 822 and 1258E (1972).
[Crossref]

McCall, S. L.

S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183457 (1969).
[Crossref]

S. L. McCall and E. L. Hahn, “Self induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908 (1967).
[Crossref]

Merriam, A. J.

M. Jain, M. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximum atomic coherence,” Phys. Rev. Lett. 77, 4326 (1996).
[Crossref] [PubMed]

Mompart, J.

J. Mompart and R. Corbalan, “Lasing without inversion,” Quantum Semiclass. Opt. 2, R7 (2000).
[Crossref]

Oreg, J.

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690 (1984).
[Crossref]

Polynkin, P. G.

V. V. Kozlov, P. G. Polynkin, and M. O. Scully, “Resonant Raman amplification of ultrashort pulses in a V-type medium,” Phys. Rev. A 59, 3060 (1999).
[Crossref]

Pons, M. L.

J. H. Eberly, M. L. Pons, and H. R. Haq, “Dressed-state pulses in an absorbing medium,” Phys. Rev. Lett. 72, 56 (1994).
[Crossref] [PubMed]

Rahman, A.

A. Rahman and J. H. Eberly, “Numerical experiments with optical pulses in V -type media,” Opt. Express 4, 133 (1999).
[Crossref] [PubMed]

A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).
[Crossref]

Retherford, R. C.

W. E. Lamb and R. C. Retherford, “Fine structure of the hydrogen atom. Part II,” Phys. Rev. 81, 222 (1951).
[Crossref]

Reutova, N.M.

N. V. Denisova, V. S. Egorov, V. V. Kozlov, N.M. Reutova, P. Yu. Serdobintsev, and E. E. Fradkin, “Weak-pulse transparency enhancement in an optically dense three-level medium induced by a 2π-pulse in a neighboring transition (V -scheme),” Zh. Eksp. Teor. Fiz.113, 71 (1998) [Sov. Phys. JETP86, 39 (1998)];

Rhodes, C. K.

F. A. Hopf, G. L. Lamb, C. K. Rhodes, and M. O. Scully, “Some results on coherent radiative phenomena with 0π pulses,” Phys. Rev. A 3, 758 (1971).
[Crossref]

Scully, M. O.

V. V. Kozlov, P. G. Polynkin, and M. O. Scully, “Resonant Raman amplification of ultrashort pulses in a V-type medium,” Phys. Rev. A 59, 3060 (1999).
[Crossref]

A. S. Zibrov, M. D. Lukin, and M. O. Scully, “Nondegenerate parametric self-oscillation via multiwave mixing in coherent atomic media,” Phys. Rev. Lett. 83, 4049 (1999).
[Crossref]

M. O. Scully, “From lasers and masers to phaseonium and phasers,” Phys. Rep. 219, 191 (1992).
[Crossref]

F. A. Hopf, G. L. Lamb, C. K. Rhodes, and M. O. Scully, “Some results on coherent radiative phenomena with 0π pulses,” Phys. Rev. A 3, 758 (1971).
[Crossref]

M. O. Scully and M. S. Zubairy, “Quantum Optics,” Cambridge Univ. Press (UK, 1997).

G. S. Agarwal, M. O. Scully, and H. Walther, to be published.

Serdobintsev, P. Yu.

N. V. Denisova, V. S. Egorov, V. V. Kozlov, N.M. Reutova, P. Yu. Serdobintsev, and E. E. Fradkin, “Weak-pulse transparency enhancement in an optically dense three-level medium induced by a 2π-pulse in a neighboring transition (V -scheme),” Zh. Eksp. Teor. Fiz.113, 71 (1998) [Sov. Phys. JETP86, 39 (1998)];

Shahriar, M.

Sklyarov, Yu. M.

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Yu. M. Sklyarov, “Present state of self-induced transparency theory,” Phys. Rep. 191, 1 (1990).
[Crossref]

Sokolov, A. V.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85, 562 (2000).
[Crossref] [PubMed]

Stoiche, B. P.

K. Hakuta, L. Marmet, and B. P. Stoiche, “Electric-field-induced second harmonic generation with reduced absorption,” Phys. Rev. Lett. 66, 596 (1991).
[Crossref] [PubMed]

Toschek, P.

T. Hänch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).
[Crossref]

Walker, D. R.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85, 562 (2000).
[Crossref] [PubMed]

Walther, H.

G. S. Agarwal, M. O. Scully, and H. Walther, to be published.

Xia, M.

M. Jain, M. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximum atomic coherence,” Phys. Rev. Lett. 77, 4326 (1996).
[Crossref] [PubMed]

Yavuz, D. D.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85, 562 (2000).
[Crossref] [PubMed]

Yin, G. Y.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85, 562 (2000).
[Crossref] [PubMed]

M. Jain, M. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximum atomic coherence,” Phys. Rev. Lett. 77, 4326 (1996).
[Crossref] [PubMed]

Zibrov, A. S.

A. S. Zibrov, M. D. Lukin, and M. O. Scully, “Nondegenerate parametric self-oscillation via multiwave mixing in coherent atomic media,” Phys. Rev. Lett. 83, 4049 (1999).
[Crossref]

Zubairy, M. S.

M. O. Scully and M. S. Zubairy, “Quantum Optics,” Cambridge Univ. Press (UK, 1997).

J. Mod. Opt. (1)

J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471 (1998).
[Crossref]

Opt. Commun. (1)

V. V. Kozlov and J. H. Eberly, “Ultrashort pulses in phaseonium: the interplay between SIT and EIT,” Opt. Commun. 179, 85 (2000).
[Crossref]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rep. (3)

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Yu. M. Sklyarov, “Present state of self-induced transparency theory,” Phys. Rep. 191, 1 (1990).
[Crossref]

O. Kocharovskaya, “Amplificaton and lasing without inversion,” Phys. Rep. 219, 175 (1992).
[Crossref]

M. O. Scully, “From lasers and masers to phaseonium and phasers,” Phys. Rep. 219, 191 (1992).
[Crossref]

Phys. Rev. (4)

S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183457 (1969).
[Crossref]

W. E. Lamb and R. C. Retherford, “Fine structure of the hydrogen atom. Part II,” Phys. Rev. 81, 222 (1951).
[Crossref]

A. Javan, “Theory of three-level maser,” Phys. Rev. 107, 1579 (1957).
[Crossref]

M. S. Feld and A. Javan, “Laser-induced line-narrowing effects in coupled Doppler-broadened transitions,” Phys. Rev. 177, 540 (1969).
[Crossref]

Phys. Rev. A (7)

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).
[Crossref]

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690 (1984).
[Crossref]

L. Matulic and J. H. Eberly, “Analytic study of pulse chirping in self-induced transparency,” Phys. Rev. A 6, 822 and 1258E (1972).
[Crossref]

F. A. Hopf, G. L. Lamb, C. K. Rhodes, and M. O. Scully, “Some results on coherent radiative phenomena with 0π pulses,” Phys. Rev. A 3, 758 (1971).
[Crossref]

A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).
[Crossref]

G. S. Agarwal and J. H. Eberly, “Continuous-probe solutions for self-similar pulses in four-level systems,” Phys. Rev. A 60, 013404 (2000).

V. V. Kozlov, P. G. Polynkin, and M. O. Scully, “Resonant Raman amplification of ultrashort pulses in a V-type medium,” Phys. Rev. A 59, 3060 (1999).
[Crossref]

Phys. Rev. Lett. (11)

J. H. Eberly, “Optical pulse and pulse-train propagation in a resonant medium,” Phys. Rev. Lett. 22, 760 (1969).
[Crossref]

S. E. Harris, J. E. Field, and A. Imamoglu, “Non-linear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107 (1990).
[Crossref] [PubMed]

K. Hakuta, L. Marmet, and B. P. Stoiche, “Electric-field-induced second harmonic generation with reduced absorption,” Phys. Rev. Lett. 66, 596 (1991).
[Crossref] [PubMed]

M. Jain, M. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximum atomic coherence,” Phys. Rev. Lett. 77, 4326 (1996).
[Crossref] [PubMed]

A. S. Zibrov, M. D. Lukin, and M. O. Scully, “Nondegenerate parametric self-oscillation via multiwave mixing in coherent atomic media,” Phys. Rev. Lett. 83, 4049 (1999).
[Crossref]

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85, 562 (2000).
[Crossref] [PubMed]

R. Grobe, F. T. Hioe, and J. H. Eberly, “Formation of shape-preserving pulses in a nonlinear adiabatically integrable system,” Phys. Rev. Lett. 73, 3183 (1994).
[Crossref] [PubMed]

S. E. Harris, “Electromagnetically induced tranparency with matched pulses,” Phys. Rev. Lett. 71, 552 (1993).
[Crossref]

S. E. Harris, “Normal-modes of electromagnetically induced transparency,” Phys. Rev. Lett. 72, 52 (1994).
[Crossref] [PubMed]

J. H. Eberly, M. L. Pons, and H. R. Haq, “Dressed-state pulses in an absorbing medium,” Phys. Rev. Lett. 72, 56 (1994).
[Crossref] [PubMed]

S. L. McCall and E. L. Hahn, “Self induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908 (1967).
[Crossref]

Quantum Semiclass. Opt. (1)

J. Mompart and R. Corbalan, “Lasing without inversion,” Quantum Semiclass. Opt. 2, R7 (2000).
[Crossref]

Rev. Mod. Phys. (1)

G. L. Lamb, “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. 43, 99 (1971).
[Crossref]

Z. Phys. (1)

T. Hänch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).
[Crossref]

Other (9)

E. Arimondo, “Coherent population trapping in laser spectroscopy” in Progress in Optics edited by E. Wolf, Vol. XXXV, p.257 (Elsevier Science, Amsterdam, 1996).
[Crossref]

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today p. 36, June (1997).
[Crossref]

I. M. Beterov and V. P. Chebotaev, “Three-level gas laser,” Pis’ma Zh. Eksp. Teor. Fiz.9, 216 (1969) [Sov. Phys. JETP Lett.9, 127 (1969)].

L. A. Bolshov and V. V. Likhanskii, “Coherent interaction between emission pulses and resonant multilevel media,” Kvantovaya Elektronika12, 1339 (1985) [Sov. J. Quantum Electron.15, 889 (1985)].

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).

M. O. Scully and M. S. Zubairy, “Quantum Optics,” Cambridge Univ. Press (UK, 1997).

G. S. Agarwal, M. O. Scully, and H. Walther, to be published.

N. V. Denisova, V. S. Egorov, V. V. Kozlov, N.M. Reutova, P. Yu. Serdobintsev, and E. E. Fradkin, “Weak-pulse transparency enhancement in an optically dense three-level medium induced by a 2π-pulse in a neighboring transition (V -scheme),” Zh. Eksp. Teor. Fiz.113, 71 (1998) [Sov. Phys. JETP86, 39 (1998)];

V. V. Kozlov and E. E. Fradkin, “Coherent effects in ultrashort pulse propagation through an optically thick three-level medium,” Pis’ma Zh. Eksp. Teor. Fiz.68, 359 (1998) [Sov. Phys. JETP Lett.68, 383 (1998)].

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Figures (4)

Fig. 1.
Fig. 1.

Pictorial illustration of MIT via a V -type atom under the action of a sequence of 2π-pulses (Ω) and a continuous probe field (α). The overall effect of a 2π-pulse applied to cb transition is in flipping the sign of the wave function of the ground state.

Fig. 2.
Fig. 2.

Time dependent plots of intensity of the probe pulse showing the effect of propagation over 2 Beer’s lengths in V-type system driven by a sequence of eleven 2π-pulses (shown in the inset). In all plots local time (t-z/v)/τp (with ν as phase velocity of light in the medium) is measured in units of the strong pulse duration τp and distance in Beer’s lengths, defined here as β≡i(k π τp )-1. For Rabi frequencies of the strong field, Ω, and the weak probe, α, we define intensity as |Ωτp2 and |ατp|2, correspondingly. Initially, the weak pulse has a super-Gaussian shape α=0.01 exp[-(t/80τp )8], see the snapshot at βL=0, and the strong pulses are identical 2π-solitons of self-induced transparency separated by 10 their own durations from each other: Ω=n=55 sech[(t+10p )/τp ], see inset.

Fig. 3.
Fig. 3.

Time dependent plots of population of the jai state at the input and after propagating 0.5, 1, 1.5, and 2 Beer’s lengths. Inset shows time evolution of ρaa at the entrance plane (βL=0) in absence of driving pulses on the |c〉↔|b〉 transition.

Fig. 4.
Fig. 4.

Energy and Area versus distance for the weak pulse: (1) with no driving field; (2) with driving field in the form of 2π-pulses, see figure caption for Fig. 2. Energy is normalized to its initial value.

Equations (17)

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V = α ( t ) 2 ( α b e i Δ t + adj . ) ,
a ˙ = i 2 α e i Δ t b ,
b ˙ = i 2 α e i Δ t a ,
c ˙ = 0 .
U α ( t ) = A a a + B b b + c c + ( C a b adj . ) .
A ( t ) = ( cos α ˜ 2 t i Δ α ˜ cos α ˜ 2 t ) exp [ i Δ 2 t ]
B ( t ) = ( cos α ˜ 2 t i Δ α ˜ cos α ˜ 2 t ) exp [ i Δ 2 t ]
C ( t ) = i α α ˜ sin α ˜ 2 t exp [ i Δ 2 t ]
U α ( t ) = cos [ α 2 t ] ( α α + b b ) i sin [ α 2 t ] σ x ( a , b ) + c c
U α ( t ) = exp [ i α 2 t σ x ] + c c = n = 0 N exp [ i α 2 τ σ x ] + c c ,
U θ ( t ) = cos [ θ ( t ) 2 ] ( b b + c c ) + a a i sin [ θ ( t ) 2 ] ( b c + c b ) ,
U 2 π ( t ) = a a ( b b + c c ) .
U ( t ) = U 2 π ( N ) U α ( τ ) U 2 π ( N 1 ) U 2 π ( 2 ) U α ( τ ) U 2 π ( 1 ) U α ( τ ) .
U 2 π U α ( τ ) U 2 π U α ( τ ) = exp ( i α 2 σ x τ ) exp ( i α 2 σ x τ ) = 1 .
[ z + n Ω c t ] Ω ( t , z ) = ik Ω ρ cb ,
[ z + n α c t ] α ( t , z ) = ik α ρ ab ,
κ Ω = k Ω cb 2 N 0 n Ω and κ α = k α ab 2 N 0 n α .

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