Abstract

We propose a new scheme to generate stable ultraslow optical solitons in lifetime-broadened three-state V-type media via spontaneously generated coherence (SGC). We show that in the linear propagation regime, SGC in the system can result in a significant change of dispersion and absorption, which may be used to completely eliminate absorption and greatly reduce the group velocity of the probe field. In the nonlinear propagation regime, SGC can largely enhance the Kerr nonlinearity of the system. By means of SGC, stable optical solitons with ultraslow propagating velocity and ultralow generation power can be produced. Different from previous works, ultraslow optical solitons obtained in the present system based on SGC have much smaller attenuation during propagation and can be created by using only one laser field.

© 2012 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, 908–911 (1967).
    [CrossRef]
  2. M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).
    [CrossRef]
  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, 3183–3186 (1994).
    [CrossRef]
  4. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005), and references therein.
    [CrossRef]
  5. Y. Wu and L. Deng, “Ultraslow optical solitons in a cold four-state medium,” Phys. Rev. Lett. 93, 143904 (2004).
    [CrossRef]
  6. G. Huang, L. Deng, and M. G. Payne, “Dynamics of ultraslow optical solitons in a cold three-state atomic system,” Phys. Rev. E 72, 016617 (2005).
    [CrossRef]
  7. C. Hang, G. Huang, and L. Deng, “Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system,” Phys. Rev. E 73, 036607 (2006).
    [CrossRef]
  8. G. S. Agarwal, Quantum Optics, Springer Tracts in Modern Physics, Vol. 70 (Springer, 1974).
  9. S. E. Harris, “Lasers without inversion: interference of lifetime-broadened resonances,” Phys. Rev. Lett. 62, 1033–1036 (1989).
    [CrossRef]
  10. A. Imamoğlu, “Interference of radiatively broadened resonances,” Phys. Rev. A 40, 2835–2838 (1989).
    [CrossRef]
  11. J. H. Wu and J. Y. Gao, “Phase control of light amplification without inversion in a Λ system with spontaneously generated coherence,” Phys. Rev. A 65, 063807 (2002).
    [CrossRef]
  12. Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
    [CrossRef]
  13. S. Menon and G. S. Agarwal, “Effects of spontaneously generated coherence on the pump-probe response of a Λ system,” Phys. Rev. A 57, 4014–4018 (1998).
    [CrossRef]
  14. S. Y. Zhu, R. C. F. Chan, and C. P. Lee, “Spontaneous emission from a three-level atom,” Phys. Rev. A 52, 710–716 (1995).
    [CrossRef]
  15. S. Y. Zhu and M. O. Scully, “Spectral line elimination and spontaneous emission cancellation via quantum interference,” Phys. Rev. Lett. 76, 388–391 (1996).
    [CrossRef]
  16. P. Zhou and S. Swain, “Ultranarrow spectral lines via quantum interference,” Phys. Rev. Lett. 77, 3995–3998 (1996).
    [CrossRef]
  17. E. Paspalakis and P. L. Knight, “Phase control of spontaneous emission,” Phys. Rev. Lett. 81, 293–296 (1998).
    [CrossRef]
  18. K. T. Kapale, M. O. Scully, S. Y. Zhu, and M. S. Zubairy, “Quenching of spontaneous emission through interference of incoherent pump processes,” Phys. Rev. A 67, 023804 (2003).
    [CrossRef]
  19. I. Gonzalo, M. A. Antón, F. Carreño, and O. G. Calderón, “Squeezing in a Λ-type three-level atom via spontaneously generated coherence,” Phys. Rev. A 72, 033809 (2005).
    [CrossRef]
  20. Y. P. Niu and S. Q. Gong, “Enhancing Kerr nonlinearity via spontaneously generated coherence,” Phys. Rev. A 73, 053811 (2006).
    [CrossRef]
  21. D. G. Norris, L. A. Orozco, P. Barberis-Blostein, and H. J. Carmichael, “Observation of ground-state quantum beats in atomic spontaneous emission,” Phys. Rev. Lett. 105, 123602 (2010).
    [CrossRef]
  22. Z. Tang, G. Li, and Z. Ficek, “Entanglement created by spontaneously generated coherence,” Phys. Rev. A 82, 063837 (2010).
    [CrossRef]
  23. R. G. Wan, J. Kou, L. Jiang, Y. Jiang, and J. Y. Gao, “Electromagnetically induced grating via enhanced nonlinear modulation by spontaneously generated coherence,” Phys. Rev. A 83, 033824 (2011).
    [CrossRef]
  24. E. Paspalakis, N. J. Kylstra, and P. L. Knight, “Transparency induced via decay interference,” Phys. Rev. Lett. 82, 2079–2082 (1999).
    [CrossRef]
  25. D. A. Cardimona, M. G. Raymer, and C. R. Stroud, “Steady-state quantum interference in resonance fluorescence,” J. Phys. B 15, 55–64 (1982).
    [CrossRef]
  26. The frequency and wavenumber of the probe field are given by ωp+ω and kp+K(ω), respectively. Thus, ω=0 corresponds to the center frequency of the probe field.
  27. P. M. Anisimov and O. Kocharovskaya, “Decaying-dressed-state analysis of a coherently driven three-level Λ system,” J. Mod. Opt. 55, 3159–3171 (2008).
    [CrossRef]
  28. P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler–Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett. 107, 163604 (2011).
    [CrossRef]
  29. T. Y. Abi-Salloum, “Electromagnetically induced transparency and Autler–Townes splitting: two similar but distinct phenomena in two categories of three-level atomic systems,” Phys. Rev. A 81, 053836 (2010).
    [CrossRef]
  30. S. Saltiel, S. Tanev, and A. D. Boardman, “High-order nonlinear phase shift caused by cascaded third-order processes,” Opt. Lett. 22, 148–150 (1997).
    [CrossRef]
  31. H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1034 (1996).
    [CrossRef]
  32. S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
    [CrossRef]
  33. J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, “Controlling the sign of quantum interference by tunnelling from quantum wells,” Nature 390, 589–591 (1997).
    [CrossRef]
  34. H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, “Tunneling induced transparency: Fano interference in intersubband transitions,” Appl. Phys. Lett. 70, 3455–3457 (1997).
    [CrossRef]
  35. J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
    [CrossRef]
  36. T. Nakajima, “Linear and nonlinear optical properties of an autoionizing medium,” Phys. Rev. A 63, 043804 (2000).
    [CrossRef]
  37. G. S. Agarwal, “Anisotropic vacuum-induced interference in decay channels,” Phys. Rev. Lett. 84, 5500–5503 (2000).
    [CrossRef]
  38. J. Javanainen, “Effect of state superpositions created by spontaneous emission on laser-driven transitions,” Europhys. Lett. 17, 407–412 (1992).
    [CrossRef]
  39. Z. Ficek, B. J. Dalton, and P. L. Knight, “Fluorescence intensity and squeezing in a driven three-level atom: ladder case,” Phys. Rev. A 51, 4062–4077 (1995).
    [CrossRef]

2012 (1)

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

2011 (2)

R. G. Wan, J. Kou, L. Jiang, Y. Jiang, and J. Y. Gao, “Electromagnetically induced grating via enhanced nonlinear modulation by spontaneously generated coherence,” Phys. Rev. A 83, 033824 (2011).
[CrossRef]

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler–Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett. 107, 163604 (2011).
[CrossRef]

2010 (3)

T. Y. Abi-Salloum, “Electromagnetically induced transparency and Autler–Townes splitting: two similar but distinct phenomena in two categories of three-level atomic systems,” Phys. Rev. A 81, 053836 (2010).
[CrossRef]

D. G. Norris, L. A. Orozco, P. Barberis-Blostein, and H. J. Carmichael, “Observation of ground-state quantum beats in atomic spontaneous emission,” Phys. Rev. Lett. 105, 123602 (2010).
[CrossRef]

Z. Tang, G. Li, and Z. Ficek, “Entanglement created by spontaneously generated coherence,” Phys. Rev. A 82, 063837 (2010).
[CrossRef]

2008 (1)

P. M. Anisimov and O. Kocharovskaya, “Decaying-dressed-state analysis of a coherently driven three-level Λ system,” J. Mod. Opt. 55, 3159–3171 (2008).
[CrossRef]

2006 (2)

Y. P. Niu and S. Q. Gong, “Enhancing Kerr nonlinearity via spontaneously generated coherence,” Phys. Rev. A 73, 053811 (2006).
[CrossRef]

C. Hang, G. Huang, and L. Deng, “Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system,” Phys. Rev. E 73, 036607 (2006).
[CrossRef]

2005 (4)

G. Huang, L. Deng, and M. G. Payne, “Dynamics of ultraslow optical solitons in a cold three-state atomic system,” Phys. Rev. E 72, 016617 (2005).
[CrossRef]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005), and references therein.
[CrossRef]

I. Gonzalo, M. A. Antón, F. Carreño, and O. G. Calderón, “Squeezing in a Λ-type three-level atom via spontaneously generated coherence,” Phys. Rev. A 72, 033809 (2005).
[CrossRef]

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

2004 (2)

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
[CrossRef]

Y. Wu and L. Deng, “Ultraslow optical solitons in a cold four-state medium,” Phys. Rev. Lett. 93, 143904 (2004).
[CrossRef]

2003 (1)

K. T. Kapale, M. O. Scully, S. Y. Zhu, and M. S. Zubairy, “Quenching of spontaneous emission through interference of incoherent pump processes,” Phys. Rev. A 67, 023804 (2003).
[CrossRef]

2002 (1)

J. H. Wu and J. Y. Gao, “Phase control of light amplification without inversion in a Λ system with spontaneously generated coherence,” Phys. Rev. A 65, 063807 (2002).
[CrossRef]

2000 (2)

T. Nakajima, “Linear and nonlinear optical properties of an autoionizing medium,” Phys. Rev. A 63, 043804 (2000).
[CrossRef]

G. S. Agarwal, “Anisotropic vacuum-induced interference in decay channels,” Phys. Rev. Lett. 84, 5500–5503 (2000).
[CrossRef]

1999 (1)

E. Paspalakis, N. J. Kylstra, and P. L. Knight, “Transparency induced via decay interference,” Phys. Rev. Lett. 82, 2079–2082 (1999).
[CrossRef]

1998 (2)

E. Paspalakis and P. L. Knight, “Phase control of spontaneous emission,” Phys. Rev. Lett. 81, 293–296 (1998).
[CrossRef]

S. Menon and G. S. Agarwal, “Effects of spontaneously generated coherence on the pump-probe response of a Λ system,” Phys. Rev. A 57, 4014–4018 (1998).
[CrossRef]

1997 (3)

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, “Controlling the sign of quantum interference by tunnelling from quantum wells,” Nature 390, 589–591 (1997).
[CrossRef]

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, “Tunneling induced transparency: Fano interference in intersubband transitions,” Appl. Phys. Lett. 70, 3455–3457 (1997).
[CrossRef]

S. Saltiel, S. Tanev, and A. D. Boardman, “High-order nonlinear phase shift caused by cascaded third-order processes,” Opt. Lett. 22, 148–150 (1997).
[CrossRef]

1996 (3)

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1034 (1996).
[CrossRef]

S. Y. Zhu and M. O. Scully, “Spectral line elimination and spontaneous emission cancellation via quantum interference,” Phys. Rev. Lett. 76, 388–391 (1996).
[CrossRef]

P. Zhou and S. Swain, “Ultranarrow spectral lines via quantum interference,” Phys. Rev. Lett. 77, 3995–3998 (1996).
[CrossRef]

1995 (2)

S. Y. Zhu, R. C. F. Chan, and C. P. Lee, “Spontaneous emission from a three-level atom,” Phys. Rev. A 52, 710–716 (1995).
[CrossRef]

Z. Ficek, B. J. Dalton, and P. L. Knight, “Fluorescence intensity and squeezing in a driven three-level atom: ladder case,” Phys. Rev. A 51, 4062–4077 (1995).
[CrossRef]

1994 (1)

R. Grobe, F. T. Hioe, and J. H. Eberly, “Formation of shape-preserving pulses in a nonlinear adiabatically integrable system,” Phys. Rev. Lett. 73, 3183–3186 (1994).
[CrossRef]

1992 (1)

J. Javanainen, “Effect of state superpositions created by spontaneous emission on laser-driven transitions,” Europhys. Lett. 17, 407–412 (1992).
[CrossRef]

1989 (2)

S. E. Harris, “Lasers without inversion: interference of lifetime-broadened resonances,” Phys. Rev. Lett. 62, 1033–1036 (1989).
[CrossRef]

A. Imamoğlu, “Interference of radiatively broadened resonances,” Phys. Rev. A 40, 2835–2838 (1989).
[CrossRef]

1982 (1)

D. A. Cardimona, M. G. Raymer, and C. R. Stroud, “Steady-state quantum interference in resonance fluorescence,” J. Phys. B 15, 55–64 (1982).
[CrossRef]

1981 (1)

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).
[CrossRef]

1967 (1)

S. L. McCall and E. L. Hahn, “Self-induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908–911 (1967).
[CrossRef]

Abi-Salloum, T. Y.

T. Y. Abi-Salloum, “Electromagnetically induced transparency and Autler–Townes splitting: two similar but distinct phenomena in two categories of three-level atomic systems,” Phys. Rev. A 81, 053836 (2010).
[CrossRef]

Agarwal, G. S.

G. S. Agarwal, “Anisotropic vacuum-induced interference in decay channels,” Phys. Rev. Lett. 84, 5500–5503 (2000).
[CrossRef]

S. Menon and G. S. Agarwal, “Effects of spontaneously generated coherence on the pump-probe response of a Λ system,” Phys. Rev. A 57, 4014–4018 (1998).
[CrossRef]

G. S. Agarwal, Quantum Optics, Springer Tracts in Modern Physics, Vol. 70 (Springer, 1974).

Anisimov, P. M.

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler–Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett. 107, 163604 (2011).
[CrossRef]

P. M. Anisimov and O. Kocharovskaya, “Decaying-dressed-state analysis of a coherently driven three-level Λ system,” J. Mod. Opt. 55, 3159–3171 (2008).
[CrossRef]

Antón, M. A.

I. Gonzalo, M. A. Antón, F. Carreño, and O. G. Calderón, “Squeezing in a Λ-type three-level atom via spontaneously generated coherence,” Phys. Rev. A 72, 033809 (2005).
[CrossRef]

Artoni, M.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

Bai, Y.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
[CrossRef]

Barberis-Blostein, P.

D. G. Norris, L. A. Orozco, P. Barberis-Blostein, and H. J. Carmichael, “Observation of ground-state quantum beats in atomic spontaneous emission,” Phys. Rev. Lett. 105, 123602 (2010).
[CrossRef]

Bassani, F.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

Boardman, A. D.

Calderón, O. G.

I. Gonzalo, M. A. Antón, F. Carreño, and O. G. Calderón, “Squeezing in a Λ-type three-level atom via spontaneously generated coherence,” Phys. Rev. A 72, 033809 (2005).
[CrossRef]

Campman, K. L.

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, “Tunneling induced transparency: Fano interference in intersubband transitions,” Appl. Phys. Lett. 70, 3455–3457 (1997).
[CrossRef]

Capasso, F.

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, “Controlling the sign of quantum interference by tunnelling from quantum wells,” Nature 390, 589–591 (1997).
[CrossRef]

Cardimona, D. A.

D. A. Cardimona, M. G. Raymer, and C. R. Stroud, “Steady-state quantum interference in resonance fluorescence,” J. Phys. B 15, 55–64 (1982).
[CrossRef]

Carmichael, H. J.

D. G. Norris, L. A. Orozco, P. Barberis-Blostein, and H. J. Carmichael, “Observation of ground-state quantum beats in atomic spontaneous emission,” Phys. Rev. Lett. 105, 123602 (2010).
[CrossRef]

Carreño, F.

I. Gonzalo, M. A. Antón, F. Carreño, and O. G. Calderón, “Squeezing in a Λ-type three-level atom via spontaneously generated coherence,” Phys. Rev. A 72, 033809 (2005).
[CrossRef]

Chan, R. C. F.

S. Y. Zhu, R. C. F. Chan, and C. P. Lee, “Spontaneous emission from a three-level atom,” Phys. Rev. A 52, 710–716 (1995).
[CrossRef]

Chen, X.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
[CrossRef]

Cui, H.-N.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

Dalton, B. J.

Z. Ficek, B. J. Dalton, and P. L. Knight, “Fluorescence intensity and squeezing in a driven three-level atom: ladder case,” Phys. Rev. A 51, 4062–4077 (1995).
[CrossRef]

Deng, L.

C. Hang, G. Huang, and L. Deng, “Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system,” Phys. Rev. E 73, 036607 (2006).
[CrossRef]

G. Huang, L. Deng, and M. G. Payne, “Dynamics of ultraslow optical solitons in a cold three-state atomic system,” Phys. Rev. E 72, 016617 (2005).
[CrossRef]

Y. Wu and L. Deng, “Ultraslow optical solitons in a cold four-state medium,” Phys. Rev. Lett. 93, 143904 (2004).
[CrossRef]

Dowling, J. P.

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler–Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett. 107, 163604 (2011).
[CrossRef]

Eberly, J. H.

R. Grobe, F. T. Hioe, and J. H. Eberly, “Formation of shape-preserving pulses in a nonlinear adiabatically integrable system,” Phys. Rev. Lett. 73, 3183–3186 (1994).
[CrossRef]

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).
[CrossRef]

Faist, J.

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, “Controlling the sign of quantum interference by tunnelling from quantum wells,” Nature 390, 589–591 (1997).
[CrossRef]

Ficek, Z.

Z. Tang, G. Li, and Z. Ficek, “Entanglement created by spontaneously generated coherence,” Phys. Rev. A 82, 063837 (2010).
[CrossRef]

Z. Ficek, B. J. Dalton, and P. L. Knight, “Fluorescence intensity and squeezing in a driven three-level atom: ladder case,” Phys. Rev. A 51, 4062–4077 (1995).
[CrossRef]

Fleischhauer, M.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005), and references therein.
[CrossRef]

Gao, J. Y.

R. G. Wan, J. Kou, L. Jiang, Y. Jiang, and J. Y. Gao, “Electromagnetically induced grating via enhanced nonlinear modulation by spontaneously generated coherence,” Phys. Rev. A 83, 033824 (2011).
[CrossRef]

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

J. H. Wu and J. Y. Gao, “Phase control of light amplification without inversion in a Λ system with spontaneously generated coherence,” Phys. Rev. A 65, 063807 (2002).
[CrossRef]

Gao, J.-Y.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

Gong, S. Q.

Y. P. Niu and S. Q. Gong, “Enhancing Kerr nonlinearity via spontaneously generated coherence,” Phys. Rev. A 73, 053811 (2006).
[CrossRef]

Gonzalo, I.

I. Gonzalo, M. A. Antón, F. Carreño, and O. G. Calderón, “Squeezing in a Λ-type three-level atom via spontaneously generated coherence,” Phys. Rev. A 72, 033809 (2005).
[CrossRef]

Gossard, A. C.

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, “Tunneling induced transparency: Fano interference in intersubband transitions,” Appl. Phys. Lett. 70, 3455–3457 (1997).
[CrossRef]

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, 3183–3186 (1994).
[CrossRef]

Guo, H.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
[CrossRef]

Hahn, E. L.

S. L. McCall and E. L. Hahn, “Self-induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908–911 (1967).
[CrossRef]

Han, D.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
[CrossRef]

Hang, C.

C. Hang, G. Huang, and L. Deng, “Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system,” Phys. Rev. E 73, 036607 (2006).
[CrossRef]

Harris, S. E.

S. E. Harris, “Lasers without inversion: interference of lifetime-broadened resonances,” Phys. Rev. Lett. 62, 1033–1036 (1989).
[CrossRef]

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, 3183–3186 (1994).
[CrossRef]

Huang, G.

C. Hang, G. Huang, and L. Deng, “Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system,” Phys. Rev. E 73, 036607 (2006).
[CrossRef]

G. Huang, L. Deng, and M. G. Payne, “Dynamics of ultraslow optical solitons in a cold three-state atomic system,” Phys. Rev. E 72, 016617 (2005).
[CrossRef]

Imamoglu, A.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005), and references therein.
[CrossRef]

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, “Tunneling induced transparency: Fano interference in intersubband transitions,” Appl. Phys. Lett. 70, 3455–3457 (1997).
[CrossRef]

A. Imamoğlu, “Interference of radiatively broadened resonances,” Phys. Rev. A 40, 2835–2838 (1989).
[CrossRef]

Javanainen, J.

J. Javanainen, “Effect of state superpositions created by spontaneous emission on laser-driven transitions,” Europhys. Lett. 17, 407–412 (1992).
[CrossRef]

Jiang, L.

R. G. Wan, J. Kou, L. Jiang, Y. Jiang, and J. Y. Gao, “Electromagnetically induced grating via enhanced nonlinear modulation by spontaneously generated coherence,” Phys. Rev. A 83, 033824 (2011).
[CrossRef]

Jiang, Y.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

R. G. Wan, J. Kou, L. Jiang, Y. Jiang, and J. Y. Gao, “Electromagnetically induced grating via enhanced nonlinear modulation by spontaneously generated coherence,” Phys. Rev. A 83, 033824 (2011).
[CrossRef]

Kang, Z.-H.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

Kapale, K. T.

K. T. Kapale, M. O. Scully, S. Y. Zhu, and M. S. Zubairy, “Quenching of spontaneous emission through interference of incoherent pump processes,” Phys. Rev. A 67, 023804 (2003).
[CrossRef]

Knight, P. L.

E. Paspalakis, N. J. Kylstra, and P. L. Knight, “Transparency induced via decay interference,” Phys. Rev. Lett. 82, 2079–2082 (1999).
[CrossRef]

E. Paspalakis and P. L. Knight, “Phase control of spontaneous emission,” Phys. Rev. Lett. 81, 293–296 (1998).
[CrossRef]

Z. Ficek, B. J. Dalton, and P. L. Knight, “Fluorescence intensity and squeezing in a driven three-level atom: ladder case,” Phys. Rev. A 51, 4062–4077 (1995).
[CrossRef]

Kocharovskaya, O.

P. M. Anisimov and O. Kocharovskaya, “Decaying-dressed-state analysis of a coherently driven three-level Λ system,” J. Mod. Opt. 55, 3159–3171 (2008).
[CrossRef]

Konopnicki, M. J.

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).
[CrossRef]

Kou, J.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

R. G. Wan, J. Kou, L. Jiang, Y. Jiang, and J. Y. Gao, “Electromagnetically induced grating via enhanced nonlinear modulation by spontaneously generated coherence,” Phys. Rev. A 83, 033824 (2011).
[CrossRef]

Kylstra, N. J.

E. Paspalakis, N. J. Kylstra, and P. L. Knight, “Transparency induced via decay interference,” Phys. Rev. Lett. 82, 2079–2082 (1999).
[CrossRef]

La Rocca, G. C.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

Lee, C. P.

S. Y. Zhu, R. C. F. Chan, and C. P. Lee, “Spontaneous emission from a three-level atom,” Phys. Rev. A 52, 710–716 (1995).
[CrossRef]

Li, G.

Z. Tang, G. Li, and Z. Ficek, “Entanglement created by spontaneously generated coherence,” Phys. Rev. A 82, 063837 (2010).
[CrossRef]

Liu, C.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
[CrossRef]

Marangos, J. P.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005), and references therein.
[CrossRef]

McCall, S. L.

S. L. McCall and E. L. Hahn, “Self-induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908–911 (1967).
[CrossRef]

Menon, S.

S. Menon and G. S. Agarwal, “Effects of spontaneously generated coherence on the pump-probe response of a Λ system,” Phys. Rev. A 57, 4014–4018 (1998).
[CrossRef]

Nakajima, T.

T. Nakajima, “Linear and nonlinear optical properties of an autoionizing medium,” Phys. Rev. A 63, 043804 (2000).
[CrossRef]

Niu, Y. P.

Y. P. Niu and S. Q. Gong, “Enhancing Kerr nonlinearity via spontaneously generated coherence,” Phys. Rev. A 73, 053811 (2006).
[CrossRef]

Norris, D. G.

D. G. Norris, L. A. Orozco, P. Barberis-Blostein, and H. J. Carmichael, “Observation of ground-state quantum beats in atomic spontaneous emission,” Phys. Rev. Lett. 105, 123602 (2010).
[CrossRef]

Orozco, L. A.

D. G. Norris, L. A. Orozco, P. Barberis-Blostein, and H. J. Carmichael, “Observation of ground-state quantum beats in atomic spontaneous emission,” Phys. Rev. Lett. 105, 123602 (2010).
[CrossRef]

Paspalakis, E.

E. Paspalakis, N. J. Kylstra, and P. L. Knight, “Transparency induced via decay interference,” Phys. Rev. Lett. 82, 2079–2082 (1999).
[CrossRef]

E. Paspalakis and P. L. Knight, “Phase control of spontaneous emission,” Phys. Rev. Lett. 81, 293–296 (1998).
[CrossRef]

Payne, M. G.

G. Huang, L. Deng, and M. G. Payne, “Dynamics of ultraslow optical solitons in a cold three-state atomic system,” Phys. Rev. E 72, 016617 (2005).
[CrossRef]

Pfeiffer, L. N.

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, “Controlling the sign of quantum interference by tunnelling from quantum wells,” Nature 390, 589–591 (1997).
[CrossRef]

Raymer, M. G.

D. A. Cardimona, M. G. Raymer, and C. R. Stroud, “Steady-state quantum interference in resonance fluorescence,” J. Phys. B 15, 55–64 (1982).
[CrossRef]

Saltiel, S.

Sanders, B. C.

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler–Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett. 107, 163604 (2011).
[CrossRef]

Schmidt, H.

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, “Tunneling induced transparency: Fano interference in intersubband transitions,” Appl. Phys. Lett. 70, 3455–3457 (1997).
[CrossRef]

Scully, M. O.

K. T. Kapale, M. O. Scully, S. Y. Zhu, and M. S. Zubairy, “Quenching of spontaneous emission through interference of incoherent pump processes,” Phys. Rev. A 67, 023804 (2003).
[CrossRef]

S. Y. Zhu and M. O. Scully, “Spectral line elimination and spontaneous emission cancellation via quantum interference,” Phys. Rev. Lett. 76, 388–391 (1996).
[CrossRef]

Silvestri, L.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

Sirtori, C.

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, “Controlling the sign of quantum interference by tunnelling from quantum wells,” Nature 390, 589–591 (1997).
[CrossRef]

Stroud, C. R.

D. A. Cardimona, M. G. Raymer, and C. R. Stroud, “Steady-state quantum interference in resonance fluorescence,” J. Phys. B 15, 55–64 (1982).
[CrossRef]

Sun, H.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
[CrossRef]

Swain, S.

P. Zhou and S. Swain, “Ultranarrow spectral lines via quantum interference,” Phys. Rev. Lett. 77, 3995–3998 (1996).
[CrossRef]

Tanev, S.

Tang, Z.

Z. Tang, G. Li, and Z. Ficek, “Entanglement created by spontaneously generated coherence,” Phys. Rev. A 82, 063837 (2010).
[CrossRef]

Tian, S.-C.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

Wan, R. G.

R. G. Wan, J. Kou, L. Jiang, Y. Jiang, and J. Y. Gao, “Electromagnetically induced grating via enhanced nonlinear modulation by spontaneously generated coherence,” Phys. Rev. A 83, 033824 (2011).
[CrossRef]

Wan, R.-G.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

Wang, C.-L.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

West, K. W.

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, “Controlling the sign of quantum interference by tunnelling from quantum wells,” Nature 390, 589–591 (1997).
[CrossRef]

Wu, J. H.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

J. H. Wu and J. Y. Gao, “Phase control of light amplification without inversion in a Λ system with spontaneously generated coherence,” Phys. Rev. A 65, 063807 (2002).
[CrossRef]

Wu, Y.

Y. Wu and L. Deng, “Ultraslow optical solitons in a cold four-state medium,” Phys. Rev. Lett. 93, 143904 (2004).
[CrossRef]

Xia, H. R.

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1034 (1996).
[CrossRef]

Xu, J. H.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

Ye, C. Y.

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1034 (1996).
[CrossRef]

Zhang, H.

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

Zhou, P.

P. Zhou and S. Swain, “Ultranarrow spectral lines via quantum interference,” Phys. Rev. Lett. 77, 3995–3998 (1996).
[CrossRef]

Zhu, S. Y.

K. T. Kapale, M. O. Scully, S. Y. Zhu, and M. S. Zubairy, “Quenching of spontaneous emission through interference of incoherent pump processes,” Phys. Rev. A 67, 023804 (2003).
[CrossRef]

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1034 (1996).
[CrossRef]

S. Y. Zhu and M. O. Scully, “Spectral line elimination and spontaneous emission cancellation via quantum interference,” Phys. Rev. Lett. 76, 388–391 (1996).
[CrossRef]

S. Y. Zhu, R. C. F. Chan, and C. P. Lee, “Spontaneous emission from a three-level atom,” Phys. Rev. A 52, 710–716 (1995).
[CrossRef]

Zubairy, M. S.

K. T. Kapale, M. O. Scully, S. Y. Zhu, and M. S. Zubairy, “Quenching of spontaneous emission through interference of incoherent pump processes,” Phys. Rev. A 67, 023804 (2003).
[CrossRef]

Appl. Phys. Lett. (1)

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, “Tunneling induced transparency: Fano interference in intersubband transitions,” Appl. Phys. Lett. 70, 3455–3457 (1997).
[CrossRef]

Europhys. Lett. (1)

J. Javanainen, “Effect of state superpositions created by spontaneous emission on laser-driven transitions,” Europhys. Lett. 17, 407–412 (1992).
[CrossRef]

J. Mod. Opt. (1)

P. M. Anisimov and O. Kocharovskaya, “Decaying-dressed-state analysis of a coherently driven three-level Λ system,” J. Mod. Opt. 55, 3159–3171 (2008).
[CrossRef]

J. Phys. B (1)

D. A. Cardimona, M. G. Raymer, and C. R. Stroud, “Steady-state quantum interference in resonance fluorescence,” J. Phys. B 15, 55–64 (1982).
[CrossRef]

Nature (1)

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, “Controlling the sign of quantum interference by tunnelling from quantum wells,” Nature 390, 589–591 (1997).
[CrossRef]

Opt. Commun. (1)

S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, and J.-Y. Gao, “Observation of spontaneously generated coherence on absorption in rubidium atomic beam,” Opt. Commun. 285, 294–299 (2012).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (14)

Z. Ficek, B. J. Dalton, and P. L. Knight, “Fluorescence intensity and squeezing in a driven three-level atom: ladder case,” Phys. Rev. A 51, 4062–4077 (1995).
[CrossRef]

T. Y. Abi-Salloum, “Electromagnetically induced transparency and Autler–Townes splitting: two similar but distinct phenomena in two categories of three-level atomic systems,” Phys. Rev. A 81, 053836 (2010).
[CrossRef]

T. Nakajima, “Linear and nonlinear optical properties of an autoionizing medium,” Phys. Rev. A 63, 043804 (2000).
[CrossRef]

Z. Tang, G. Li, and Z. Ficek, “Entanglement created by spontaneously generated coherence,” Phys. Rev. A 82, 063837 (2010).
[CrossRef]

R. G. Wan, J. Kou, L. Jiang, Y. Jiang, and J. Y. Gao, “Electromagnetically induced grating via enhanced nonlinear modulation by spontaneously generated coherence,” Phys. Rev. A 83, 033824 (2011).
[CrossRef]

A. Imamoğlu, “Interference of radiatively broadened resonances,” Phys. Rev. A 40, 2835–2838 (1989).
[CrossRef]

J. H. Wu and J. Y. Gao, “Phase control of light amplification without inversion in a Λ system with spontaneously generated coherence,” Phys. Rev. A 65, 063807 (2002).
[CrossRef]

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, “Effects of spontaneously generated coherence on the conditions for exhibiting lasing without inversion in a V system,” Phys. Rev. A 69, 043814 (2004).
[CrossRef]

S. Menon and G. S. Agarwal, “Effects of spontaneously generated coherence on the pump-probe response of a Λ system,” Phys. Rev. A 57, 4014–4018 (1998).
[CrossRef]

S. Y. Zhu, R. C. F. Chan, and C. P. Lee, “Spontaneous emission from a three-level atom,” Phys. Rev. A 52, 710–716 (1995).
[CrossRef]

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).
[CrossRef]

K. T. Kapale, M. O. Scully, S. Y. Zhu, and M. S. Zubairy, “Quenching of spontaneous emission through interference of incoherent pump processes,” Phys. Rev. A 67, 023804 (2003).
[CrossRef]

I. Gonzalo, M. A. Antón, F. Carreño, and O. G. Calderón, “Squeezing in a Λ-type three-level atom via spontaneously generated coherence,” Phys. Rev. A 72, 033809 (2005).
[CrossRef]

Y. P. Niu and S. Q. Gong, “Enhancing Kerr nonlinearity via spontaneously generated coherence,” Phys. Rev. A 73, 053811 (2006).
[CrossRef]

Phys. Rev. E (2)

G. Huang, L. Deng, and M. G. Payne, “Dynamics of ultraslow optical solitons in a cold three-state atomic system,” Phys. Rev. E 72, 016617 (2005).
[CrossRef]

C. Hang, G. Huang, and L. Deng, “Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system,” Phys. Rev. E 73, 036607 (2006).
[CrossRef]

Phys. Rev. Lett. (13)

E. Paspalakis, N. J. Kylstra, and P. L. Knight, “Transparency induced via decay interference,” Phys. Rev. Lett. 82, 2079–2082 (1999).
[CrossRef]

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler–Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett. 107, 163604 (2011).
[CrossRef]

G. S. Agarwal, “Anisotropic vacuum-induced interference in decay channels,” Phys. Rev. Lett. 84, 5500–5503 (2000).
[CrossRef]

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, “Ultrafast all optical switching via tunable Fano interference,” Phys. Rev. Lett. 95, 057401 (2005).
[CrossRef]

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1034 (1996).
[CrossRef]

S. E. Harris, “Lasers without inversion: interference of lifetime-broadened resonances,” Phys. Rev. Lett. 62, 1033–1036 (1989).
[CrossRef]

D. G. Norris, L. A. Orozco, P. Barberis-Blostein, and H. J. Carmichael, “Observation of ground-state quantum beats in atomic spontaneous emission,” Phys. Rev. Lett. 105, 123602 (2010).
[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, 3183–3186 (1994).
[CrossRef]

S. L. McCall and E. L. Hahn, “Self-induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908–911 (1967).
[CrossRef]

Y. Wu and L. Deng, “Ultraslow optical solitons in a cold four-state medium,” Phys. Rev. Lett. 93, 143904 (2004).
[CrossRef]

S. Y. Zhu and M. O. Scully, “Spectral line elimination and spontaneous emission cancellation via quantum interference,” Phys. Rev. Lett. 76, 388–391 (1996).
[CrossRef]

P. Zhou and S. Swain, “Ultranarrow spectral lines via quantum interference,” Phys. Rev. Lett. 77, 3995–3998 (1996).
[CrossRef]

E. Paspalakis and P. L. Knight, “Phase control of spontaneous emission,” Phys. Rev. Lett. 81, 293–296 (1998).
[CrossRef]

Rev. Mod. Phys. (1)

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005), and references therein.
[CrossRef]

Other (2)

The frequency and wavenumber of the probe field are given by ωp+ω and kp+K(ω), respectively. Thus, ω=0 corresponds to the center frequency of the probe field.

G. S. Agarwal, Quantum Optics, Springer Tracts in Modern Physics, Vol. 70 (Springer, 1974).

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Figures (5)

Fig. 1.
Fig. 1.

Energy level diagrams and excitation schemes of lifetime-broadened V-type three-level systems with SGC. Here, |j (j=1,2,3) are atomic bare states, Ep is a weak probe laser field, Δ and δ are detunings, and Γj (j=1,2) are decay rates of relevant states. (b) The definition of the alignment angles (θ1, θ2) of the dipole matrix elements (d12, d13) related to the unit polarization vector ep of the probe field. θ=θ1+θ2 is the angle between d12 and d13.

Fig. 2.
Fig. 2.

(a) Re(K) and (b) Im(K) as functions of ω/Γ with maximum SGC (i.e., η=1, the solid curve) and without SGC (i.e., η=0, the dashed curve).

Fig. 3.
Fig. 3.

Im(R1) (solid curve), Im(R2) (dashed curve), and Im(K) (dotted curve) as functions of ω/Γ. (a), (c), (e) Spectra without SGC (η=0) for Δ/Γ=1.0, 0.7, and 0.4, respectively. (b), (d), (f) Corresponding spectra with the maximum SGC (η=1).

Fig. 4.
Fig. 4.

(a) Re(χ(3)) and (b) Im(χ(3)) as functions of η, respectively.

Fig. 5.
Fig. 5.

(a), (b) Wave shapes of |Ωp/U0|2 as a function of z/LD and τ/τ0 with (a) η=0 and (b) η=1]. The results are numerically obtained from Eq. (14) with full complex coefficients taken into account. (c), (d) Wave shapes of |Ωp/U0|2 as a function of τ/τ0 with (c) η=0 and (d) η=1. The results are obtained by directly integrating Eqs. (1) and (6) at z=0, 0.5LDiff, and LDiff in (c) and at z=0, LDiff, and 2LDiff in (d).

Tables (1)

Tables Icon

Table 1. K0, K1, K2, and W without and with the Maximum SGC

Equations (20)

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

ρ˙22=Γ2ρ22+iΩpρ12iΩp*ρ21ηΓ2Γ32(ρ23+ρ32),
ρ˙33=Γ3ρ33+ipΩpρ13ipΩp*ρ31ηΓ2Γ32(ρ23+ρ32),
ρ˙21=[i(Δ+δ)Γ22]ρ21+iΩp(ρ11ρ22)ipΩpρ23ηΓ2Γ32ρ31,
ρ˙31=[i(Δ+δ)Γ32]ρ31+ipΩp(ρ11ρ33)iΩpρ32ηΓ2Γ32ρ21,
ρ˙32=(i2Δ+Γ2+Γ32)ρ32iΩp*ρ31+ipΩpρ12ηΓ2Γ32(ρ22+ρ33),
i(z+1ct)Ωp+κ(ρ21+pρ31)=0,
K(ω)=ωcκ[ω+d3ipηΓ/2D(ω)+p2(ω+d2)ipηΓ/2D(ω)],
K(ω)=ωc+R1+R2,
R1=κK+ωω+,R2=κKωω,
χp=Na|ep·d12|2ϵ0ρ21+pρ31Ωpχp(1)+χp(3)|Ep|2,
χp(1)=Na|ep·d12|2ϵ0p2d2+d3ipηΓd2d3+η2Γ2/4,
χp(3)=Na|ep·d12|4ϵ03Ad3+pBd2i(pA+B)ηΓ/2d2d3+η2Γ2/4.
r22=iΓY1|d32|2+X+Γ(Y3d23Y4d32)ζΓ2|d32|2+2iΓd23ζ22iΓd32ζ2,r33=iΓY2|d32|2X+Γ(Y3d23Y4d32)ζΓ2|d32|2+2iΓd23ζ22iΓd32ζ2,r32=2i(Y3Y4)ζ2ΓY3d23+(Y1+Y2)d23ζΓ|d32|2+2id23ζ22id32ζ2.
iFz2K222Ft12Wexp(β¯z2)F|F|2=0,
W=κAd3+pBd2i(pA+B)ηΓ/2d2d3+η2Γ2/4,
i(z+β2)UK222Uτ2W|U|2U=0,
ius+2uσ2+2u|u|2=iμu,
Ωp=1τ0K˜2W˜sech[1τ0(tzV˜g)]exp[iϕziz2LD].
Vg=4.6×105c;
P¯peak=0.65μW,

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