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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References

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  1. P.R.Berman, ed., Cavity Quantum Electrodynamics (Academic, 1994).
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    [CrossRef] [PubMed]
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  7. H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
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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]
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    [CrossRef] [PubMed]

2009

2008

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

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

2006

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

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

2001

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

2000

1998

1996

1990

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

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

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

Opt. Lett.

Phys. Rev. A

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.

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

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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