Abstract

I analyze a scheme that is capable of producing large Kerr nonlinearities on cavity-atom polaritons in a cavity quantum electrodynamics system consisting of multiple three-level atoms confined in a cavity mode. A weak control laser coupled to the atoms from free space induces destructive quantum interference in the polariton excitation of the coupled cavity-atom system and creates large Kerr nonlinearities on the intra-cavity light field. The scheme can be used for optical switching or cross-phase modulation of the cavity-atom polariton at ultralow light levels.

© 2010 Optical Society of America

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  1. P.R.Berman, ed., Cavity Quantum Electrodynamics (Academic, 1994).
  2. A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  6. H. Schmidt and A. Imamoglu, Opt. Lett. 21, 1936 (1996).
    [CrossRef] [PubMed]
  7. H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
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    [CrossRef] [PubMed]
  9. A. B. Matsko, I. Novikova, G. R. Welch, and M. S. Zubairy, Opt. Lett. 28, 96 (2003).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
  17. J. Zhang, G. Hernandez, and Y. Zhu, Opt. Express 16, 7860 (2008).
    [CrossRef] [PubMed]
  18. G. Hernandez, J. Zhang, and Y. Zhu, Opt. Express 17, 4798 (2009).
    [CrossRef] [PubMed]

2009 (1)

2008 (2)

H. Wu, J. Gea-Banacloche, and M. Xiao, Phys. Rev. Lett. 100, 173602 (2008).
[CrossRef] [PubMed]

J. Zhang, G. Hernandez, and Y. Zhu, Opt. Express 16, 7860 (2008).
[CrossRef] [PubMed]

2007 (1)

G. Hernandez, J. Zhang, and Y. Zhu, Phys. Rev. A 76, 053814 (2007).
[CrossRef]

2006 (2)

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

Z. B. Wang, K. P. Marzlin, and B. C. Sanders, Phys. Rev. Lett. 97, 063901 (2006).
[CrossRef] [PubMed]

2004 (2)

D. Petrosyan and Y. P. Malakyan, Phys. Rev. A 70, 023822 (2004).
[CrossRef]

A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
[CrossRef] [PubMed]

2003 (2)

2001 (1)

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef] [PubMed]

2000 (1)

1998 (1)

1996 (1)

1990 (1)

Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
[CrossRef] [PubMed]

1989 (1)

M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble, and H. J. Carmichael, Phys. Rev. Lett. 63, 240 (1989).
[CrossRef] [PubMed]

1984 (1)

G. S. Agarwal, Phys. Rev. Lett. 53, 1732 (1984).
[CrossRef]

Agarwal, G. S.

G. S. Agarwal, Phys. Rev. Lett. 53, 1732 (1984).
[CrossRef]

Birnbaum, K. M.

A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
[CrossRef] [PubMed]

Boca, A.

A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
[CrossRef] [PubMed]

Boozer, A. D.

A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
[CrossRef] [PubMed]

Brecha, R. J.

M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble, and H. J. Carmichael, Phys. Rev. Lett. 63, 240 (1989).
[CrossRef] [PubMed]

Burkett, W. H.

Carmichael, H. J.

Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
[CrossRef] [PubMed]

M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble, and H. J. Carmichael, Phys. Rev. Lett. 63, 240 (1989).
[CrossRef] [PubMed]

Chen, Y. F.

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

Fleischhauer, M.

Gauthier, D. J.

Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
[CrossRef] [PubMed]

Gea-Banacloche, J.

H. Wu, J. Gea-Banacloche, and M. Xiao, Phys. Rev. Lett. 100, 173602 (2008).
[CrossRef] [PubMed]

Goorskey, D.

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef] [PubMed]

Goorskey, D. J.

Hernandez, G.

Imamoglu, A.

Kang, H.

H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef] [PubMed]

Kimble, H. J.

A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
[CrossRef] [PubMed]

M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble, and H. J. Carmichael, Phys. Rev. Lett. 63, 240 (1989).
[CrossRef] [PubMed]

Lukin, M. D.

Malakyan, Y. P.

D. Petrosyan and Y. P. Malakyan, Phys. Rev. A 70, 023822 (2004).
[CrossRef]

Marzlin, K. P.

Z. B. Wang, K. P. Marzlin, and B. C. Sanders, Phys. Rev. Lett. 97, 063901 (2006).
[CrossRef] [PubMed]

Matsko, A. B.

McKeever, J.

A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
[CrossRef] [PubMed]

Miller, R.

A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
[CrossRef] [PubMed]

Morin, S. E.

Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
[CrossRef] [PubMed]

Mossberg, T. W.

Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
[CrossRef] [PubMed]

Novikova, I.

Petrosyan, D.

D. Petrosyan and Y. P. Malakyan, Phys. Rev. A 70, 023822 (2004).
[CrossRef]

Raizen, M. G.

M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble, and H. J. Carmichael, Phys. Rev. Lett. 63, 240 (1989).
[CrossRef] [PubMed]

Sanders, B. C.

Z. B. Wang, K. P. Marzlin, and B. C. Sanders, Phys. Rev. Lett. 97, 063901 (2006).
[CrossRef] [PubMed]

Schmidt, H.

Scully, M. O.

Thompson, R. J.

M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble, and H. J. Carmichael, Phys. Rev. Lett. 63, 240 (1989).
[CrossRef] [PubMed]

Velichansky, V. L.

Wang, C. Y.

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

Wang, H.

Wang, S. H.

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

Wang, Z. B.

Z. B. Wang, K. P. Marzlin, and B. C. Sanders, Phys. Rev. Lett. 97, 063901 (2006).
[CrossRef] [PubMed]

Welch, G. R.

Wu, H.

H. Wu, J. Gea-Banacloche, and M. Xiao, Phys. Rev. Lett. 100, 173602 (2008).
[CrossRef] [PubMed]

Wu, Q.

Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
[CrossRef] [PubMed]

Xiao, M.

H. Wu, J. Gea-Banacloche, and M. Xiao, Phys. Rev. Lett. 100, 173602 (2008).
[CrossRef] [PubMed]

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef] [PubMed]

H. Wang, D. J. Goorskey, W. H. Burkett, and M. Xiao, Opt. Lett. 25, 1732 (2000).
[CrossRef]

Yu, I. A.

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

Zhang, J.

Zhu, Y.

G. Hernandez, J. Zhang, and Y. Zhu, Opt. Express 17, 4798 (2009).
[CrossRef] [PubMed]

J. Zhang, G. Hernandez, and Y. Zhu, Opt. Express 16, 7860 (2008).
[CrossRef] [PubMed]

G. Hernandez, J. Zhang, and Y. Zhu, Phys. Rev. A 76, 053814 (2007).
[CrossRef]

H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef] [PubMed]

Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
[CrossRef] [PubMed]

Zubairy, M. S.

Opt. Express (2)

Opt. Lett. (4)

Phys. Rev. A (2)

D. Petrosyan and Y. P. Malakyan, Phys. Rev. A 70, 023822 (2004).
[CrossRef]

G. Hernandez, J. Zhang, and Y. Zhu, Phys. Rev. A 76, 053814 (2007).
[CrossRef]

Phys. Rev. Lett. (9)

H. Wu, J. Gea-Banacloche, and M. Xiao, Phys. Rev. Lett. 100, 173602 (2008).
[CrossRef] [PubMed]

H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef] [PubMed]

H. Wang, D. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
[CrossRef] [PubMed]

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

Z. B. Wang, K. P. Marzlin, and B. C. Sanders, Phys. Rev. Lett. 97, 063901 (2006).
[CrossRef] [PubMed]

A. Boca, R. Miller, K. M. Birnbaum, A. D. Boozer, J. McKeever, and H. J. Kimble, Phys. Rev. Lett. 93, 233603 (2004).
[CrossRef] [PubMed]

G. S. Agarwal, Phys. Rev. Lett. 53, 1732 (1984).
[CrossRef]

M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble, and H. J. Carmichael, Phys. Rev. Lett. 63, 240 (1989).
[CrossRef] [PubMed]

Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
[CrossRef] [PubMed]

Other (1)

P.R.Berman, ed., Cavity Quantum Electrodynamics (Academic, 1994).

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Figures (3)

Fig. 1
Fig. 1

Three-level atoms coupled to a cavity field and a free-space control field.

Fig. 2
Fig. 2

I t / I in ( I t is the cavity-transmitted probe intensity and I in is the input probe intensity) versus the normalized probe frequency detuning Δ p / Γ . (a) Without the control laser. (b) With the control laser ( Δ = N g and Ω = 0.2 Γ ). Parameters used in the calculations are γ = 0.01 Γ , optical depth OD = n σ e a = 3 , L = 5   cm , Δ c = 0 , and R = 0.98 . The inset plots the intensity (top) and the phase shift (bottom) of the transmitted probe light between Δ p / Γ = 8 and 11.

Fig. 3
Fig. 3

(a) Phase shift Φ t and (b) normalized intensity I t / I in of the transmitted probe field versus the normalized control frequency detuning δ / Γ ( δ = Δ Δ p = Δ N g ) . OD = 4 and the other parameters are the same as those in Fig. 2.

Equations (4)

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

χ ( ν p ) = K ( Δ p Δ + i γ a b ) | Ω | 2 ( Δ p + i Γ / 2 ) ( Δ p Δ + i γ a b ) .
E t ( υ p ) = E i n ( ν p ) ( 1 R ) exp ( i k ( L + χ + i χ ) ) ( 1 R   exp ( 2 i k ( L + χ + i χ ) ) ) .
χ = K Δ p Δ p 2 + ( Γ / 2 ) 2 + K | μ e b | 2 ( Δ p 2 ( Γ / 2 ) 2 ) 2 ( Δ p 2 + ( Γ / 2 ) 2 ) 2 δ | E | 2 ,
χ = K Γ / 2 Δ p 2 + ( Γ / 2 ) 2 K | μ e b | 2 Δ p Γ 2 ( Δ p 2 + ( Γ / 2 ) 2 ) 2 δ | E | 2 .

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