Abstract

We study the light generated by spontaneous emission into a mode of a cavity QED system under weak excitation of the orthogonally polarized mode. Operating in the intermediate regime of cavity QED with comparable coherent and decoherent coupling constants, we find an enhancement of the emission into the undriven cavity mode by more than a factor of 18.5 over that expected by the solid angle subtended by the mode. A model that incorporates three atomic levels and two polarization modes quantitatively explains the observations.

© 2007 Optical Society of America

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    [CrossRef]
  2. P. R. Rice, J. Gea-Banacloche, M. L. Terraciano, D. L. Freimund, and L. A. Orozco, Opt. Express 14, 4514 (2006).
    [CrossRef] [PubMed]
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  4. J. J. Childs, K. An, M. S. Otteson, R. R. Desari, and M. S. Feld, Phys. Rev. Lett. 77, 2901 (1996).
    [CrossRef] [PubMed]
  5. Y. Zhu, A. Lezama, T. W. Mossberg, and M. Lewenstein, Phys. Rev. Lett. 61, 1946 (1988).
    [CrossRef] [PubMed]
  6. M. Hennrich, A. Kuhn, and G. Rempe, Phys. Rev. Lett. 94, 053604 (2005).
    [CrossRef] [PubMed]
  7. K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
    [CrossRef] [PubMed]
  8. H. J. Carmichael, An Open Systems Approach to Quantum Optics, Vol. 18 of Lecture Notes in Physics (Springer-Verlag, 1993).
  9. P. R. Rice and H. J. Carmichael, J. Opt. Soc. Am. B 5, 1661 (1988).
    [CrossRef]
  10. J. P. Clemens, P. R. Rice, and L. M. Pedrotti, J. Opt. Soc. Am. B 21, 2025 (2004).
    [CrossRef]
  11. S. Aubin, E. Gomez, L. A. Orozco, and G. D. Sprouse, Rev. Sci. Instrum. 74, 4342 (2003).
    [CrossRef]

2006 (1)

2005 (2)

M. Hennrich, A. Kuhn, and G. Rempe, Phys. Rev. Lett. 94, 053604 (2005).
[CrossRef] [PubMed]

K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
[CrossRef] [PubMed]

2004 (1)

2003 (1)

S. Aubin, E. Gomez, L. A. Orozco, and G. D. Sprouse, Rev. Sci. Instrum. 74, 4342 (2003).
[CrossRef]

1997 (1)

J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997).
[CrossRef]

1996 (1)

J. J. Childs, K. An, M. S. Otteson, R. R. Desari, and M. S. Feld, Phys. Rev. Lett. 77, 2901 (1996).
[CrossRef] [PubMed]

1988 (2)

Y. Zhu, A. Lezama, T. W. Mossberg, and M. Lewenstein, Phys. Rev. Lett. 61, 1946 (1988).
[CrossRef] [PubMed]

P. R. Rice and H. J. Carmichael, J. Opt. Soc. Am. B 5, 1661 (1988).
[CrossRef]

An, K.

J. J. Childs, K. An, M. S. Otteson, R. R. Desari, and M. S. Feld, Phys. Rev. Lett. 77, 2901 (1996).
[CrossRef] [PubMed]

Aubin, S.

S. Aubin, E. Gomez, L. A. Orozco, and G. D. Sprouse, Rev. Sci. Instrum. 74, 4342 (2003).
[CrossRef]

Birnbaum, K. M.

K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
[CrossRef] [PubMed]

Boca, A.

K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
[CrossRef] [PubMed]

Boozer, A. D.

K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
[CrossRef] [PubMed]

Carmichael, H. J.

P. R. Rice and H. J. Carmichael, J. Opt. Soc. Am. B 5, 1661 (1988).
[CrossRef]

H. J. Carmichael, An Open Systems Approach to Quantum Optics, Vol. 18 of Lecture Notes in Physics (Springer-Verlag, 1993).

Childs, J. J.

J. J. Childs, K. An, M. S. Otteson, R. R. Desari, and M. S. Feld, Phys. Rev. Lett. 77, 2901 (1996).
[CrossRef] [PubMed]

Cirac, J. I.

J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997).
[CrossRef]

Clemens, J. P.

Desari, R. R.

J. J. Childs, K. An, M. S. Otteson, R. R. Desari, and M. S. Feld, Phys. Rev. Lett. 77, 2901 (1996).
[CrossRef] [PubMed]

Feld, M. S.

J. J. Childs, K. An, M. S. Otteson, R. R. Desari, and M. S. Feld, Phys. Rev. Lett. 77, 2901 (1996).
[CrossRef] [PubMed]

Freimund, D. L.

Gea-Banacloche, J.

Gomez, E.

S. Aubin, E. Gomez, L. A. Orozco, and G. D. Sprouse, Rev. Sci. Instrum. 74, 4342 (2003).
[CrossRef]

Hennrich, M.

M. Hennrich, A. Kuhn, and G. Rempe, Phys. Rev. Lett. 94, 053604 (2005).
[CrossRef] [PubMed]

Hinds, E. A.

E. A. Hinds, in Cavity Quantum Electrodynamics, Vol. 28 of Advances in Atomic, Molecular, and Optical Physics, P.R.Berman, ed. (Academic, 1994), Supplement 2.

Kimble, H. J.

K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
[CrossRef] [PubMed]

J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997).
[CrossRef]

Kuhn, A.

M. Hennrich, A. Kuhn, and G. Rempe, Phys. Rev. Lett. 94, 053604 (2005).
[CrossRef] [PubMed]

Lewenstein, M.

Y. Zhu, A. Lezama, T. W. Mossberg, and M. Lewenstein, Phys. Rev. Lett. 61, 1946 (1988).
[CrossRef] [PubMed]

Lezama, A.

Y. Zhu, A. Lezama, T. W. Mossberg, and M. Lewenstein, Phys. Rev. Lett. 61, 1946 (1988).
[CrossRef] [PubMed]

Mabuchi, H.

J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997).
[CrossRef]

Miller, R.

K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
[CrossRef] [PubMed]

Mossberg, T. W.

Y. Zhu, A. Lezama, T. W. Mossberg, and M. Lewenstein, Phys. Rev. Lett. 61, 1946 (1988).
[CrossRef] [PubMed]

Northup, T. E.

K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
[CrossRef] [PubMed]

Orozco, L. A.

Otteson, M. S.

J. J. Childs, K. An, M. S. Otteson, R. R. Desari, and M. S. Feld, Phys. Rev. Lett. 77, 2901 (1996).
[CrossRef] [PubMed]

Pedrotti, L. M.

Rempe, G.

M. Hennrich, A. Kuhn, and G. Rempe, Phys. Rev. Lett. 94, 053604 (2005).
[CrossRef] [PubMed]

Rice, P. R.

Sprouse, G. D.

S. Aubin, E. Gomez, L. A. Orozco, and G. D. Sprouse, Rev. Sci. Instrum. 74, 4342 (2003).
[CrossRef]

Terraciano, M. L.

Zhu, Y.

Y. Zhu, A. Lezama, T. W. Mossberg, and M. Lewenstein, Phys. Rev. Lett. 61, 1946 (1988).
[CrossRef] [PubMed]

Zoller, P.

J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997).
[CrossRef]

J. Opt. Soc. Am. B (2)

Nature (1)

K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
[CrossRef] [PubMed]

Opt. Express (1)

Phys. Rev. Lett. (4)

J. J. Childs, K. An, M. S. Otteson, R. R. Desari, and M. S. Feld, Phys. Rev. Lett. 77, 2901 (1996).
[CrossRef] [PubMed]

Y. Zhu, A. Lezama, T. W. Mossberg, and M. Lewenstein, Phys. Rev. Lett. 61, 1946 (1988).
[CrossRef] [PubMed]

M. Hennrich, A. Kuhn, and G. Rempe, Phys. Rev. Lett. 94, 053604 (2005).
[CrossRef] [PubMed]

J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997).
[CrossRef]

Rev. Sci. Instrum. (1)

S. Aubin, E. Gomez, L. A. Orozco, and G. D. Sprouse, Rev. Sci. Instrum. 74, 4342 (2003).
[CrossRef]

Other (2)

H. J. Carmichael, An Open Systems Approach to Quantum Optics, Vol. 18 of Lecture Notes in Physics (Springer-Verlag, 1993).

E. A. Hinds, in Cavity Quantum Electrodynamics, Vol. 28 of Advances in Atomic, Molecular, and Optical Physics, P.R.Berman, ed. (Academic, 1994), Supplement 2.

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Figures (2)

Fig. 1
Fig. 1

Schematic of the experimental apparatus. A polarizer at the output separates the two orthogonal linear polarizations. The inset shows the energy-level diagram used in the model.

Fig. 2
Fig. 2

Variation of the cavity transmission of the undriven mode (vertical polarization) as a function of cooperatively C. The continuous line is the prediction from the model. The vertical scale is normalized to the empty cavity transmission ( C = 0 ) of the driven mode. The range of the number of atoms is 0 N 36 .

Equations (4)

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H = ϵ κ ( a a ) + i g ( a i = 1 N 2 i 1 a i = 1 N 1 i 2 ) + i G ( c i = 1 N 2 i 3 c i = 1 N 3 i 2 ) i κ ( a a + b b ) i γ + Γ 2 i = 1 N 2 i 2 ,
Ψ = 0000 + c 0010 0010 + c 1000 1000 + c 0100 0100 + c 1001 1001 + c 0101 0101 ;
T d = 1 ( 1 + 2 C 1 N ( 1 + 2 C ̃ 1 ) ) 2 ,
T u = ( 2 C ̃ 1 1 + 2 C ̃ 1 ) ( C 1 N ( 1 + 2 C ̃ 1 ) ( 1 + 2 C 1 N ( 1 + 2 C ̃ 1 ) ) 2 ) .

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