Abstract

For a four-level atomic system with a doublet of closely spaced levels, we find that, owing to the coherence that results from the vacuum of the radiation field, population trapping at excited levels and probe gain with population inversion can be achieved with weak incoherent pumping. This gain is different from both the conventional lasing gain and gain without inversion in that there exists population inversion on probe transitions but the inversion is achieved by the vacuum-induced coherence.

© 2003 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]

2000

G. S. Agarwal, Phys. Rev. Lett. 84, 5500 (2000).
[CrossRef] [PubMed]

F. Ghafoor, S. Y. Zhu, and M. S. Zubairy, Phys. Rev. A 62, 013811 (2000).
[CrossRef]

1998

J. Mompart, C. Peters, and R. Corbalon, Phys. Rev. A 57, 2163 (1998).
[CrossRef]

E. Paspalakis, C. H. Keitel, and P. L. Knight, Phys. Rev. A 58, 4868 (1998).
[CrossRef]

E. Paspalakis and P. L. Knight, Phys. Rev. Lett. 81, 293 (1998).
[CrossRef]

1995

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

1993

C. H. Keitel, O. A. Kocharovskaya, L. M. Narducci, M. O. Scully, and S.-Y. Zhu, Phys. Rev. A 48, 3196 (1993).
[CrossRef] [PubMed]

1992

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

1989

Agarwal, G. S.

G. S. Agarwal, Phys. Rev. Lett. 84, 5500 (2000).
[CrossRef] [PubMed]

Corbalon, R.

J. Mompart, C. Peters, and R. Corbalon, Phys. Rev. A 57, 2163 (1998).
[CrossRef]

Gao, J. Y.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Ghafoor, F.

F. Ghafoor, S. Y. Zhu, and M. S. Zubairy, Phys. Rev. A 62, 013811 (2000).
[CrossRef]

Guo, C.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Guo, X.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Harris, S. E.

Hollberg, L.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

Imamoglu, A.

Jiang, D.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Jiang, Y.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Jin, G.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Keitel, C. H.

E. Paspalakis, C. H. Keitel, and P. L. Knight, Phys. Rev. A 58, 4868 (1998).
[CrossRef]

C. H. Keitel, O. A. Kocharovskaya, L. M. Narducci, M. O. Scully, and S.-Y. Zhu, Phys. Rev. A 48, 3196 (1993).
[CrossRef] [PubMed]

Knight, P. L.

E. Paspalakis, C. H. Keitel, and P. L. Knight, Phys. Rev. A 58, 4868 (1998).
[CrossRef]

E. Paspalakis and P. L. Knight, Phys. Rev. Lett. 81, 293 (1998).
[CrossRef]

Kocharovskaya, O. A.

C. H. Keitel, O. A. Kocharovskaya, L. M. Narducci, M. O. Scully, and S.-Y. Zhu, Phys. Rev. A 48, 3196 (1993).
[CrossRef] [PubMed]

Lukin, M. D.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

Mompart, J.

J. Mompart, C. Peters, and R. Corbalon, Phys. Rev. A 57, 2163 (1998).
[CrossRef]

Narducci, L. M.

C. H. Keitel, O. A. Kocharovskaya, L. M. Narducci, M. O. Scully, and S.-Y. Zhu, Phys. Rev. A 48, 3196 (1993).
[CrossRef] [PubMed]

Nikonov, D. E.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

Paspalakis, E.

E. Paspalakis and P. L. Knight, Phys. Rev. Lett. 81, 293 (1998).
[CrossRef]

E. Paspalakis, C. H. Keitel, and P. L. Knight, Phys. Rev. A 58, 4868 (1998).
[CrossRef]

Peters, C.

J. Mompart, C. Peters, and R. Corbalon, Phys. Rev. A 57, 2163 (1998).
[CrossRef]

Robinson, H. G.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

Scully, M. O.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

C. H. Keitel, O. A. Kocharovskaya, L. M. Narducci, M. O. Scully, and S.-Y. Zhu, Phys. Rev. A 48, 3196 (1993).
[CrossRef] [PubMed]

Velichansky, V. L.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

Wang, D.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Wang, P.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Zhang, H.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Zhao, J.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Zhu, S. Y.

F. Ghafoor, S. Y. Zhu, and M. S. Zubairy, Phys. Rev. A 62, 013811 (2000).
[CrossRef]

Zhu, S.-Y.

C. H. Keitel, O. A. Kocharovskaya, L. M. Narducci, M. O. Scully, and S.-Y. Zhu, Phys. Rev. A 48, 3196 (1993).
[CrossRef] [PubMed]

Zibrov, A. S.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

Zubairy, M. S.

F. Ghafoor, S. Y. Zhu, and M. S. Zubairy, Phys. Rev. A 62, 013811 (2000).
[CrossRef]

Opt. Commun.

J. Y. Gao, C. Guo, X. Guo, G. Jin, P. Wang, J. Zhao, H. Zhang, Y. Jiang, D. Wang, and D. Jiang, Opt. Commun. 93, 323 (1992).
[CrossRef]

Opt. Lett.

Phys. Rev. A

C. H. Keitel, O. A. Kocharovskaya, L. M. Narducci, M. O. Scully, and S.-Y. Zhu, Phys. Rev. A 48, 3196 (1993).
[CrossRef] [PubMed]

J. Mompart, C. Peters, and R. Corbalon, Phys. Rev. A 57, 2163 (1998).
[CrossRef]

E. Paspalakis, C. H. Keitel, and P. L. Knight, Phys. Rev. A 58, 4868 (1998).
[CrossRef]

F. Ghafoor, S. Y. Zhu, and M. S. Zubairy, Phys. Rev. A 62, 013811 (2000).
[CrossRef]

Phys. Rev. Lett.

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

E. Paspalakis and P. L. Knight, Phys. Rev. Lett. 81, 293 (1998).
[CrossRef]

G. S. Agarwal, Phys. Rev. Lett. 84, 5500 (2000).
[CrossRef] [PubMed]

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic diagram of the four-level atomic system under consideration. (b) Corresponding dressed-state representation.

Fig. 2
Fig. 2

Population distributions ρ11,ρ33, and ρ44 as a function of Λ/γ. Solid (dashed) curve, γ34=γγ34=0. The other parameters are Δp=Δc=0, Δ=γ,γ21=γ31=γ41=γ, Gp=0.01γ, Gc=2γ, and θ=π/4.

Fig. 3
Fig. 3

Probe gain Imρ13+ρ14/Gp as a function of Δp/γ for (a) Gc=2γ and (b) Gc=5γ. Solid (dashed) curve, γ34=γγ34=0. The other parameters are the same as those in Fig. 2, except Λ=1.5γ.

Fig. 4
Fig. 4

Solid curve, probe gain Imρ13+ρ14/Gp at Δp=±Gc; dashed curve, population difference ρ33,44-ρ11 as a function of (a) Λ/γ with Gc=2γ and (b) Gc/γ with Λ=1.5γ for γ34=γ. The other parameters are the same as in Fig. 2.

Equations (9)

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

ρ·22=iGcρ12-ρ21-2γ21ρ22,
ρ·33=iGp1ρ13-ρ31-2γ31ρ33+Λρ11-γ34ρ34+ρ43,
ρ·44=iGp2ρ14-ρ41-2γ41ρ44+Λρ11-γ34ρ34+ρ43,
ρ·12=-γ21+Λ-iΔcρ12+iGp1ρ32+iGp2ρ42+iGcρ22-ρ11,
ρ·13=-γ31+Λ+iΔ-iΔpρ13+iGcρ23+iGp2ρ43+iGp1ρ33-ρ11-γ34ρ14,
ρ·14=-γ41+Λ-iΔ-iΔpρ14+iGcρ24+iGp1ρ34+iGp2ρ44-ρ11-γ34ρ13,
ρ·23=-γ21+γ31-iΔp+iΔc+iΔρ23-iGp1ρ21+iGcρ13-γ34ρ24,
ρ·24=-γ21+γ41-iΔp+iΔc-iΔρ24-iGp2ρ21+iGcρ14-γ34ρ23,
ρ·34=-γ31+γ41-2iΔρ34+iGp1ρ14-iGp2ρ31-γ34ρ33+ρ44.

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