Abstract

We use the relative phase of two coherent fields for the control of light amplification with dynamically irreversible pathways of population transfer in a Λ system. The population inversion and gain with dynamically irreversible pathways of population transfer are shown as the relative phase is varied. We support our results by numerical calculation and analytical explanation.

© 2002 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. E. Harris, “Laser without inversion: interference of lifetime-broadened resonances,” Phys. Rev. Lett. 62, 1033–1036 (1989).
    [CrossRef] [PubMed]
  2. M. O. Scully, S.-Y. Zhu, and A. Gavrielides, “Degenerate quantum-beat laser: lasing without inversion and inversion without lasing,” Phys. Rev. Lett. 62, 2813–2816 (1989).
    [CrossRef] [PubMed]
  3. A. Nottelmann, C. Peters, and W. Lange, “Inversionless amplification of picosecond pulses due to Zeeman coherence,” Phys. Rev. Lett. 70, 1783–1786 (1993).
    [CrossRef] [PubMed]
  4. M. O. Scully, “Enhancement of the index of refraction via quantum coherence,” Phys. Rev. Lett. 67, 1855–1858 (1991).
    [CrossRef] [PubMed]
  5. M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
    [CrossRef] [PubMed]
  6. O. Kocharovskaya, P. Mandel, and M. Scully, “Atomic coherence via modified spontaneous relaxation of driven three-level atoms,” Phys. Rev. Lett. 74, 2451–2454 (1995).
    [CrossRef] [PubMed]
  7. S. E. Harris, J. E. Field, and A. Imamoglu, “Nonlinear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107–1110 (1990).
    [CrossRef] [PubMed]
  8. K. H. Hahn, D. A. King, and S. E. Harris, “Nonlinear generation of 104.8-nm radiation within an absorption window in zinc,” Phys. Rev. Lett. 65, 2777–2780 (1990).
    [CrossRef] [PubMed]
  9. K.-J. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
    [CrossRef] [PubMed]
  10. S.-Y. Zhu, L. M. Narducci, and M. O. Scully, “Quantum-mechanical interference effects in the spontaneous-emission spectrum of a driven atom,” Phys. Rev. A 52, 4791–4802 (1995).
    [CrossRef] [PubMed]
  11. K. K. Meduri, G. A. Wilson, P. B. Sellin, and T. W. Mossberg, “Dynamically induced irreversibility in coherently driven systems,” Phys. Rev. Lett. 71, 4311–4314 (1993).
    [CrossRef] [PubMed]
  12. X. M. Hu and J. S. Peng, “Dynamically irreversible channels of population transfer in coherently driven Λ systems,” Opt. Commun. 170, 259–263 (1999).
    [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. X. M. Hu, Z. Z. Xu, and S. Q. Gong, “Irreversibility of coherent excitation in three-level systems: lasing with inversion,” J. Phys. B 33, L265–L274 (2000).
    [CrossRef]
  15. E. Paspalakis and P. L. Knight, “Phase control of spontaneous emission,” Phys. Rev. Lett. 81, 293–296 (1998).
    [CrossRef]
  16. N. A. Ansari, J. Gea-Banacloche, and M. S. Zubairy, “Phase-sensitive amplification in a three-level atomic system,” Phys. Rev. A 41, 5179–5186 (1990).
    [CrossRef] [PubMed]
  17. P. Zhou and S. Swain, “Phase-dependent spectra in a driven two-level atom,” Phys. Rev. Lett. 82, 2500–2504 (1999).
    [CrossRef]
  18. M. A. G. Martinez, P. R. Herezfeld, C. Samuels, L. M. Narducci, and C. H. Keitel, “Quantum interference effects in spontaneous atomic emission: dependence of the resonance fluorescence spectrum on the phase of the driving field,” Phys. Rev. A 55, 4483–4491 (1997).
    [CrossRef]
  19. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, Cambridge UK, 1997).
  20. L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A 42, 1630–1649 (1990).
    [CrossRef] [PubMed]
  21. M. Fleischhauer, C. H. Keitel, L. M. Narducci, and M. O. Scully, “Lasing without inversion: interference of radiatively broadened resonances in dressed atomic systems,” Opt. Commun. 94, 599–608 (1992).
    [CrossRef]
  22. E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, “Phase-dependent electromagnetically induced transparency,” Phys. Rev. A 59, 2302–2305 (1999).
    [CrossRef]
  23. H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1037 (1996).
    [CrossRef] [PubMed]

2000 (1)

X. M. Hu, Z. Z. Xu, and S. Q. Gong, “Irreversibility of coherent excitation in three-level systems: lasing with inversion,” J. Phys. B 33, L265–L274 (2000).
[CrossRef]

1999 (3)

P. Zhou and S. Swain, “Phase-dependent spectra in a driven two-level atom,” Phys. Rev. Lett. 82, 2500–2504 (1999).
[CrossRef]

X. M. Hu and J. S. Peng, “Dynamically irreversible channels of population transfer in coherently driven Λ systems,” Opt. Commun. 170, 259–263 (1999).
[CrossRef]

E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, “Phase-dependent electromagnetically induced transparency,” Phys. Rev. A 59, 2302–2305 (1999).
[CrossRef]

1998 (2)

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]

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

1997 (1)

M. A. G. Martinez, P. R. Herezfeld, C. Samuels, L. M. Narducci, and C. H. Keitel, “Quantum interference effects in spontaneous atomic emission: dependence of the resonance fluorescence spectrum on the phase of the driving field,” Phys. Rev. A 55, 4483–4491 (1997).
[CrossRef]

1996 (1)

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1037 (1996).
[CrossRef] [PubMed]

1995 (2)

S.-Y. Zhu, L. M. Narducci, and M. O. Scully, “Quantum-mechanical interference effects in the spontaneous-emission spectrum of a driven atom,” Phys. Rev. A 52, 4791–4802 (1995).
[CrossRef] [PubMed]

O. Kocharovskaya, P. Mandel, and M. Scully, “Atomic coherence via modified spontaneous relaxation of driven three-level atoms,” Phys. Rev. Lett. 74, 2451–2454 (1995).
[CrossRef] [PubMed]

1993 (2)

A. Nottelmann, C. Peters, and W. Lange, “Inversionless amplification of picosecond pulses due to Zeeman coherence,” Phys. Rev. Lett. 70, 1783–1786 (1993).
[CrossRef] [PubMed]

K. K. Meduri, G. A. Wilson, P. B. Sellin, and T. W. Mossberg, “Dynamically induced irreversibility in coherently driven systems,” Phys. Rev. Lett. 71, 4311–4314 (1993).
[CrossRef] [PubMed]

1992 (2)

M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
[CrossRef] [PubMed]

M. Fleischhauer, C. H. Keitel, L. M. Narducci, and M. O. Scully, “Lasing without inversion: interference of radiatively broadened resonances in dressed atomic systems,” Opt. Commun. 94, 599–608 (1992).
[CrossRef]

1991 (2)

K.-J. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

M. O. Scully, “Enhancement of the index of refraction via quantum coherence,” Phys. Rev. Lett. 67, 1855–1858 (1991).
[CrossRef] [PubMed]

1990 (4)

S. E. Harris, J. E. Field, and A. Imamoglu, “Nonlinear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107–1110 (1990).
[CrossRef] [PubMed]

K. H. Hahn, D. A. King, and S. E. Harris, “Nonlinear generation of 104.8-nm radiation within an absorption window in zinc,” Phys. Rev. Lett. 65, 2777–2780 (1990).
[CrossRef] [PubMed]

L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A 42, 1630–1649 (1990).
[CrossRef] [PubMed]

N. A. Ansari, J. Gea-Banacloche, and M. S. Zubairy, “Phase-sensitive amplification in a three-level atomic system,” Phys. Rev. A 41, 5179–5186 (1990).
[CrossRef] [PubMed]

1989 (2)

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

M. O. Scully, S.-Y. Zhu, and A. Gavrielides, “Degenerate quantum-beat laser: lasing without inversion and inversion without lasing,” Phys. Rev. Lett. 62, 2813–2816 (1989).
[CrossRef] [PubMed]

Agarwal, G. 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]

Ansari, N. A.

N. A. Ansari, J. Gea-Banacloche, and M. S. Zubairy, “Phase-sensitive amplification in a three-level atomic system,” Phys. Rev. A 41, 5179–5186 (1990).
[CrossRef] [PubMed]

Baluschev, S.

E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, “Phase-dependent electromagnetically induced transparency,” Phys. Rev. A 59, 2302–2305 (1999).
[CrossRef]

Boller, K.-J.

K.-J. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

Field, J. E.

S. E. Harris, J. E. Field, and A. Imamoglu, “Nonlinear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107–1110 (1990).
[CrossRef] [PubMed]

Fleischhauer, M.

M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
[CrossRef] [PubMed]

M. Fleischhauer, C. H. Keitel, L. M. Narducci, and M. O. Scully, “Lasing without inversion: interference of radiatively broadened resonances in dressed atomic systems,” Opt. Commun. 94, 599–608 (1992).
[CrossRef]

Gavrielides, A.

M. O. Scully, S.-Y. Zhu, and A. Gavrielides, “Degenerate quantum-beat laser: lasing without inversion and inversion without lasing,” Phys. Rev. Lett. 62, 2813–2816 (1989).
[CrossRef] [PubMed]

Gea-Banacloche, J.

N. A. Ansari, J. Gea-Banacloche, and M. S. Zubairy, “Phase-sensitive amplification in a three-level atomic system,” Phys. Rev. A 41, 5179–5186 (1990).
[CrossRef] [PubMed]

Gong, S. Q.

X. M. Hu, Z. Z. Xu, and S. Q. Gong, “Irreversibility of coherent excitation in three-level systems: lasing with inversion,” J. Phys. B 33, L265–L274 (2000).
[CrossRef]

Hahn, K. H.

K. H. Hahn, D. A. King, and S. E. Harris, “Nonlinear generation of 104.8-nm radiation within an absorption window in zinc,” Phys. Rev. Lett. 65, 2777–2780 (1990).
[CrossRef] [PubMed]

Harris, S. E.

K.-J. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

S. E. Harris, J. E. Field, and A. Imamoglu, “Nonlinear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107–1110 (1990).
[CrossRef] [PubMed]

K. H. Hahn, D. A. King, and S. E. Harris, “Nonlinear generation of 104.8-nm radiation within an absorption window in zinc,” Phys. Rev. Lett. 65, 2777–2780 (1990).
[CrossRef] [PubMed]

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

Herezfeld, P. R.

M. A. G. Martinez, P. R. Herezfeld, C. Samuels, L. M. Narducci, and C. H. Keitel, “Quantum interference effects in spontaneous atomic emission: dependence of the resonance fluorescence spectrum on the phase of the driving field,” Phys. Rev. A 55, 4483–4491 (1997).
[CrossRef]

Hu, X. M.

X. M. Hu, Z. Z. Xu, and S. Q. Gong, “Irreversibility of coherent excitation in three-level systems: lasing with inversion,” J. Phys. B 33, L265–L274 (2000).
[CrossRef]

X. M. Hu and J. S. Peng, “Dynamically irreversible channels of population transfer in coherently driven Λ systems,” Opt. Commun. 170, 259–263 (1999).
[CrossRef]

Huss, A.

E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, “Phase-dependent electromagnetically induced transparency,” Phys. Rev. A 59, 2302–2305 (1999).
[CrossRef]

Imamoglu, A.

K.-J. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

S. E. Harris, J. E. Field, and A. Imamoglu, “Nonlinear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107–1110 (1990).
[CrossRef] [PubMed]

Keitel, C. H.

M. A. G. Martinez, P. R. Herezfeld, C. Samuels, L. M. Narducci, and C. H. Keitel, “Quantum interference effects in spontaneous atomic emission: dependence of the resonance fluorescence spectrum on the phase of the driving field,” Phys. Rev. A 55, 4483–4491 (1997).
[CrossRef]

M. Fleischhauer, C. H. Keitel, L. M. Narducci, and M. O. Scully, “Lasing without inversion: interference of radiatively broadened resonances in dressed atomic systems,” Opt. Commun. 94, 599–608 (1992).
[CrossRef]

M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
[CrossRef] [PubMed]

King, D. A.

K. H. Hahn, D. A. King, and S. E. Harris, “Nonlinear generation of 104.8-nm radiation within an absorption window in zinc,” Phys. Rev. Lett. 65, 2777–2780 (1990).
[CrossRef] [PubMed]

Knight, P. L.

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

Kocharovskaya, O.

O. Kocharovskaya, P. Mandel, and M. Scully, “Atomic coherence via modified spontaneous relaxation of driven three-level atoms,” Phys. Rev. Lett. 74, 2451–2454 (1995).
[CrossRef] [PubMed]

Korsunsky, E. A.

E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, “Phase-dependent electromagnetically induced transparency,” Phys. Rev. A 59, 2302–2305 (1999).
[CrossRef]

Lange, W.

A. Nottelmann, C. Peters, and W. Lange, “Inversionless amplification of picosecond pulses due to Zeeman coherence,” Phys. Rev. Lett. 70, 1783–1786 (1993).
[CrossRef] [PubMed]

Leinfellner, N.

E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, “Phase-dependent electromagnetically induced transparency,” Phys. Rev. A 59, 2302–2305 (1999).
[CrossRef]

Mandel, P.

O. Kocharovskaya, P. Mandel, and M. Scully, “Atomic coherence via modified spontaneous relaxation of driven three-level atoms,” Phys. Rev. Lett. 74, 2451–2454 (1995).
[CrossRef] [PubMed]

Martinez, M. A. G.

M. A. G. Martinez, P. R. Herezfeld, C. Samuels, L. M. Narducci, and C. H. Keitel, “Quantum interference effects in spontaneous atomic emission: dependence of the resonance fluorescence spectrum on the phase of the driving field,” Phys. Rev. A 55, 4483–4491 (1997).
[CrossRef]

Meduri, K. K.

K. K. Meduri, G. A. Wilson, P. B. Sellin, and T. W. Mossberg, “Dynamically induced irreversibility in coherently driven systems,” Phys. Rev. Lett. 71, 4311–4314 (1993).
[CrossRef] [PubMed]

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]

Mossberg, T. W.

K. K. Meduri, G. A. Wilson, P. B. Sellin, and T. W. Mossberg, “Dynamically induced irreversibility in coherently driven systems,” Phys. Rev. Lett. 71, 4311–4314 (1993).
[CrossRef] [PubMed]

Narducci, L. M.

M. A. G. Martinez, P. R. Herezfeld, C. Samuels, L. M. Narducci, and C. H. Keitel, “Quantum interference effects in spontaneous atomic emission: dependence of the resonance fluorescence spectrum on the phase of the driving field,” Phys. Rev. A 55, 4483–4491 (1997).
[CrossRef]

S.-Y. Zhu, L. M. Narducci, and M. O. Scully, “Quantum-mechanical interference effects in the spontaneous-emission spectrum of a driven atom,” Phys. Rev. A 52, 4791–4802 (1995).
[CrossRef] [PubMed]

M. Fleischhauer, C. H. Keitel, L. M. Narducci, and M. O. Scully, “Lasing without inversion: interference of radiatively broadened resonances in dressed atomic systems,” Opt. Commun. 94, 599–608 (1992).
[CrossRef]

L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A 42, 1630–1649 (1990).
[CrossRef] [PubMed]

Nottelmann, A.

A. Nottelmann, C. Peters, and W. Lange, “Inversionless amplification of picosecond pulses due to Zeeman coherence,” Phys. Rev. Lett. 70, 1783–1786 (1993).
[CrossRef] [PubMed]

Oppo, G.-L.

L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A 42, 1630–1649 (1990).
[CrossRef] [PubMed]

Paspalakis, E.

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

Peng, J. S.

X. M. Hu and J. S. Peng, “Dynamically irreversible channels of population transfer in coherently driven Λ systems,” Opt. Commun. 170, 259–263 (1999).
[CrossRef]

Peters, C.

A. Nottelmann, C. Peters, and W. Lange, “Inversionless amplification of picosecond pulses due to Zeeman coherence,” Phys. Rev. Lett. 70, 1783–1786 (1993).
[CrossRef] [PubMed]

Ru, P.

L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A 42, 1630–1649 (1990).
[CrossRef] [PubMed]

Samuels, C.

M. A. G. Martinez, P. R. Herezfeld, C. Samuels, L. M. Narducci, and C. H. Keitel, “Quantum interference effects in spontaneous atomic emission: dependence of the resonance fluorescence spectrum on the phase of the driving field,” Phys. Rev. A 55, 4483–4491 (1997).
[CrossRef]

Scully, M.

O. Kocharovskaya, P. Mandel, and M. Scully, “Atomic coherence via modified spontaneous relaxation of driven three-level atoms,” Phys. Rev. Lett. 74, 2451–2454 (1995).
[CrossRef] [PubMed]

Scully, M. O.

S.-Y. Zhu, L. M. Narducci, and M. O. Scully, “Quantum-mechanical interference effects in the spontaneous-emission spectrum of a driven atom,” Phys. Rev. A 52, 4791–4802 (1995).
[CrossRef] [PubMed]

M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
[CrossRef] [PubMed]

M. Fleischhauer, C. H. Keitel, L. M. Narducci, and M. O. Scully, “Lasing without inversion: interference of radiatively broadened resonances in dressed atomic systems,” Opt. Commun. 94, 599–608 (1992).
[CrossRef]

M. O. Scully, “Enhancement of the index of refraction via quantum coherence,” Phys. Rev. Lett. 67, 1855–1858 (1991).
[CrossRef] [PubMed]

L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A 42, 1630–1649 (1990).
[CrossRef] [PubMed]

M. O. Scully, S.-Y. Zhu, and A. Gavrielides, “Degenerate quantum-beat laser: lasing without inversion and inversion without lasing,” Phys. Rev. Lett. 62, 2813–2816 (1989).
[CrossRef] [PubMed]

Sellin, P. B.

K. K. Meduri, G. A. Wilson, P. B. Sellin, and T. W. Mossberg, “Dynamically induced irreversibility in coherently driven systems,” Phys. Rev. Lett. 71, 4311–4314 (1993).
[CrossRef] [PubMed]

Su, C.

M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
[CrossRef] [PubMed]

Swain, S.

P. Zhou and S. Swain, “Phase-dependent spectra in a driven two-level atom,” Phys. Rev. Lett. 82, 2500–2504 (1999).
[CrossRef]

Tredicce, J. R.

L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A 42, 1630–1649 (1990).
[CrossRef] [PubMed]

Ulrich, B. T.

M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
[CrossRef] [PubMed]

Wilson, G. A.

K. K. Meduri, G. A. Wilson, P. B. Sellin, and T. W. Mossberg, “Dynamically induced irreversibility in coherently driven systems,” Phys. Rev. Lett. 71, 4311–4314 (1993).
[CrossRef] [PubMed]

Windholz, L.

E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, “Phase-dependent electromagnetically induced transparency,” Phys. Rev. A 59, 2302–2305 (1999).
[CrossRef]

Xia, H. R.

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1037 (1996).
[CrossRef] [PubMed]

Xu, Z. Z.

X. M. Hu, Z. Z. Xu, and S. Q. Gong, “Irreversibility of coherent excitation in three-level systems: lasing with inversion,” J. Phys. B 33, L265–L274 (2000).
[CrossRef]

Ye, C. Y.

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1037 (1996).
[CrossRef] [PubMed]

Zhou, P.

P. Zhou and S. Swain, “Phase-dependent spectra in a driven two-level atom,” Phys. Rev. Lett. 82, 2500–2504 (1999).
[CrossRef]

Zhu, S. Y.

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1037 (1996).
[CrossRef] [PubMed]

Zhu, S.-Y.

S.-Y. Zhu, L. M. Narducci, and M. O. Scully, “Quantum-mechanical interference effects in the spontaneous-emission spectrum of a driven atom,” Phys. Rev. A 52, 4791–4802 (1995).
[CrossRef] [PubMed]

M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
[CrossRef] [PubMed]

M. O. Scully, S.-Y. Zhu, and A. Gavrielides, “Degenerate quantum-beat laser: lasing without inversion and inversion without lasing,” Phys. Rev. Lett. 62, 2813–2816 (1989).
[CrossRef] [PubMed]

Zubairy, M. S.

N. A. Ansari, J. Gea-Banacloche, and M. S. Zubairy, “Phase-sensitive amplification in a three-level atomic system,” Phys. Rev. A 41, 5179–5186 (1990).
[CrossRef] [PubMed]

J. Phys. B (1)

X. M. Hu, Z. Z. Xu, and S. Q. Gong, “Irreversibility of coherent excitation in three-level systems: lasing with inversion,” J. Phys. B 33, L265–L274 (2000).
[CrossRef]

Opt. Commun. (2)

X. M. Hu and J. S. Peng, “Dynamically irreversible channels of population transfer in coherently driven Λ systems,” Opt. Commun. 170, 259–263 (1999).
[CrossRef]

M. Fleischhauer, C. H. Keitel, L. M. Narducci, and M. O. Scully, “Lasing without inversion: interference of radiatively broadened resonances in dressed atomic systems,” Opt. Commun. 94, 599–608 (1992).
[CrossRef]

Phys. Rev. A (7)

E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, “Phase-dependent electromagnetically induced transparency,” Phys. Rev. A 59, 2302–2305 (1999).
[CrossRef]

M. A. G. Martinez, P. R. Herezfeld, C. Samuels, L. M. Narducci, and C. H. Keitel, “Quantum interference effects in spontaneous atomic emission: dependence of the resonance fluorescence spectrum on the phase of the driving field,” Phys. Rev. A 55, 4483–4491 (1997).
[CrossRef]

L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A 42, 1630–1649 (1990).
[CrossRef] [PubMed]

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, L. M. Narducci, and M. O. Scully, “Quantum-mechanical interference effects in the spontaneous-emission spectrum of a driven atom,” Phys. Rev. A 52, 4791–4802 (1995).
[CrossRef] [PubMed]

N. A. Ansari, J. Gea-Banacloche, and M. S. Zubairy, “Phase-sensitive amplification in a three-level atomic system,” Phys. Rev. A 41, 5179–5186 (1990).
[CrossRef] [PubMed]

M. Fleischhauer, C. H. Keitel, M. O. Scully, C. Su, B. T. Ulrich, and S.-Y. Zhu, “Resonantly enhanced refractive index without absorption via atomic coherence,” Phys. Rev. A 46, 1468–1487 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett. (12)

O. Kocharovskaya, P. Mandel, and M. Scully, “Atomic coherence via modified spontaneous relaxation of driven three-level atoms,” Phys. Rev. Lett. 74, 2451–2454 (1995).
[CrossRef] [PubMed]

S. E. Harris, J. E. Field, and A. Imamoglu, “Nonlinear optical processes using electromagnetically induced transparency,” Phys. Rev. Lett. 64, 1107–1110 (1990).
[CrossRef] [PubMed]

K. H. Hahn, D. A. King, and S. E. Harris, “Nonlinear generation of 104.8-nm radiation within an absorption window in zinc,” Phys. Rev. Lett. 65, 2777–2780 (1990).
[CrossRef] [PubMed]

K.-J. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

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

M. O. Scully, S.-Y. Zhu, and A. Gavrielides, “Degenerate quantum-beat laser: lasing without inversion and inversion without lasing,” Phys. Rev. Lett. 62, 2813–2816 (1989).
[CrossRef] [PubMed]

A. Nottelmann, C. Peters, and W. Lange, “Inversionless amplification of picosecond pulses due to Zeeman coherence,” Phys. Rev. Lett. 70, 1783–1786 (1993).
[CrossRef] [PubMed]

M. O. Scully, “Enhancement of the index of refraction via quantum coherence,” Phys. Rev. Lett. 67, 1855–1858 (1991).
[CrossRef] [PubMed]

P. Zhou and S. Swain, “Phase-dependent spectra in a driven two-level atom,” Phys. Rev. Lett. 82, 2500–2504 (1999).
[CrossRef]

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

K. K. Meduri, G. A. Wilson, P. B. Sellin, and T. W. Mossberg, “Dynamically induced irreversibility in coherently driven systems,” Phys. Rev. Lett. 71, 4311–4314 (1993).
[CrossRef] [PubMed]

H. R. Xia, C. Y. Ye, and S. Y. Zhu, “Experimental observation of spontaneous emission cancellation,” Phys. Rev. Lett. 77, 1032–1037 (1996).
[CrossRef] [PubMed]

Other (1)

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, Cambridge UK, 1997).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Schematic representation of the atomic configurations discussed in this paper; the two coherent fields have the Rabi frequencies 2g and 2G. γ1 and γ2 represent the spontaneous-emission rate. Δ1=ω13ω1 and Δ2=ω12ω2 are the detunings, where ωij is energy separation between states |i〉 and |j〉. The field polarizations are chosen so that one field drives only one transition.

Fig. 2
Fig. 2

Population difference ρ11ρ22 (dashed curve) and gain A(ωω12) (solid curve) versus relative phase φ for Δ1=-10. Other parameters are g=G=10 sin θ, θ=π/4, Δ2=0, and γ2=1.

Fig. 3
Fig. 3

Population difference ρ11ρ33 (dashed curve) and gain A(ωω13) (solid curve) versus relative phase φ for Δ1=0 and Δ2=-10. Other parameters are the same as in Fig. 2.

Fig. 4
Fig. 4

Gain A(ωω13) versus relative phase φ for Δ1=-15 (dashed curve), Δ1=-10 (dotted curve), Δ1=10 (dashed–dotted curve) and Δ1=15 (solid curve) for Δ2=0. Other parameters are the same as in Fig. 2.

Fig. 5
Fig. 5

Gain A(ωω13) versus relative phase φ for Δ2=-15 (dashed curve), Δ2=-10 (dotted curve), Δ2=10 (dashed–dotted curve) and Δ2=15 (solid curve) for Δ1=0. Other parameters are the same as in Fig. 2.

Equations (12)

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

ρ˙11=-2(γ1+γ2)ρ11+igρ31+iGρ21-iG*ρ12-ig*ρ13,
ρ˙22=2γ2ρ11+iG*ρ12-iGρ21,
ρ˙33=2γ1ρ11+ig*ρ13-iGρ31,
ρ˙12=-(γ1+γ2+iΔ2)ρ12+igρ32-iG(ρ11-ρ22),
ρ˙13=-(γ1+γ2+iΔ1)ρ13+iGρ23-ig(ρ11-ρ33),
ρ˙23=-i(Δ1-Δ2)ρ23+2γ1γ2 cos θηρ11+iG*ρ13-igρ21,
ρ11=2g2G2(Δ1-Δ2)2D,
ρ22=g2(G2+g2)g2-(η+η*)2gG+G2D+(Δ1-Δ2)2g4-(η+η*)g3G2Δ2+i(η-η*)g3G2+(Δ1-Δ2)24+Δ22+G2g2D
ρ33=G2(G2+g2)g2-(η+η*)2gG+G2D+(Δ1-Δ2)2G4+(η+η*)2gG3Δ2+i(η-η*)2gG3D+(Δ1-Δ2)2(4+Δ12+g2)G2+(Δ1-Δ2)2(η+η*)2g-2GG3D,
D={(g2+G2)2[g2-(η+η*)cos θgG+G2]}+{[2g2-(η+η*)cos θgG+2G2]×(g2-G2)Δ2(Δ1-Δ2)}+[4G2+4g2+4G2g2+(η+η*)cos θgG3-2G4+(g2+G2)Δ22](Δ1-Δ2)2+[2G2Δ2(Δ1-Δ2)3+G2(Δ1-Δ2)4]+2igG cos θ(η-η*)(g2+G2)×(Δ1-Δ2).
A(ω)=const×{[P(-)(τ1),P(+)(τ0)]},
A(ω)=Re{M(2,6) * [1-Ψ(4)-2Ψ(8)]+M(2, 7) * Ψ(1)+M(2, 8) * Ψ(2)-M(2, 3) * Ψ(5)},

Metrics