Abstract

A scheme for giant enhancement of the Kerr nonlinearity in a four-level system with double dark resonances is proposed. Compared with that generated in a single-dark-resonance system, the Kerr nonlinearity can be enhanced by several orders of magnitude with vanishing linear absorption. We attribute this dramatic enhancement to the interaction of dark resonances.

© 2005 Optical Society of America

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  1. S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1991).
    [CrossRef]
  2. V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).
    [CrossRef] [PubMed]
  3. S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
    [CrossRef]
  4. S. E. Harris, Phys. Today 50(7), 36 (1997), and reference therein.
    [CrossRef]
  5. H. Schmidt and A. Imamoglu, Opt. Lett. 21, 1936 (1996).
    [CrossRef] [PubMed]
  6. H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
    [CrossRef]
  7. A. B. Matsko, I. Novikova, G. R. Welch, and M. S. Zubairy, Opt. Lett. 28, 96 (2003).
    [CrossRef] [PubMed]
  8. S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
    [CrossRef]
  9. P. R. Hammer, D. P. Katz, J. Donoghue, M. Cronin-Golomb, M. S. Shahriar, and P. Kumar, Opt. Lett. 20, 982 (1995).
    [CrossRef]
  10. A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997).
    [CrossRef]
  11. N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, Adv. At., Mol., Opt. Phys. 46, 55 (2001).
    [CrossRef]
  12. M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 60, 3225 (1999).
    [CrossRef]
  13. Y.-C. Chen, Y.-A. Liao, H.-Y. Chiu, J.-J. Su, and I. A. Yu, Phys. Rev. A 64, 053806 (2001).
    [CrossRef]
  14. S. F. Yelin and P. R. Hemmer, Phys. Rev. A 66, 013803 (2002).
    [CrossRef]
  15. C. Goren, A. D. Wilson-Gordon, M. Rosenbluh, and H. Friedmann, Phys. Rev. A 69, 063802 (2004).
    [CrossRef]
  16. Y. Niu, S. Gong, R. Li, and S. Jin, Phys. Rev. A 70, 023805 (2004).
    [CrossRef]
  17. Y. Niu, R. Li, and S. Gong, Phys. Rev. A 71, 043819 (2005).
    [CrossRef]
  18. H. Wang, D. J. Goorskey, and M. Xiao, Phys. Rev. Lett. 87, 073601 (2001).
    [CrossRef]
  19. H. Wang, D. J. Goorskey, and M. Xiao, J. Mod. Opt. 49, 335 (2001).
    [CrossRef]

2005 (1)

Y. Niu, R. Li, and S. Gong, Phys. Rev. A 71, 043819 (2005).
[CrossRef]

2004 (3)

C. Goren, A. D. Wilson-Gordon, M. Rosenbluh, and H. Friedmann, Phys. Rev. A 69, 063802 (2004).
[CrossRef]

Y. Niu, S. Gong, R. Li, and S. Jin, Phys. Rev. A 70, 023805 (2004).
[CrossRef]

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

2003 (2)

2002 (1)

S. F. Yelin and P. R. Hemmer, Phys. Rev. A 66, 013803 (2002).
[CrossRef]

2001 (4)

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

H. Wang, D. J. Goorskey, and M. Xiao, J. Mod. Opt. 49, 335 (2001).
[CrossRef]

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, Adv. At., Mol., Opt. Phys. 46, 55 (2001).
[CrossRef]

Y.-C. Chen, Y.-A. Liao, H.-Y. Chiu, J.-J. Su, and I. A. Yu, Phys. Rev. A 64, 053806 (2001).
[CrossRef]

1999 (2)

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 60, 3225 (1999).
[CrossRef]

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

1997 (2)

S. E. Harris, Phys. Today 50(7), 36 (1997), and reference therein.
[CrossRef]

A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997).
[CrossRef]

1996 (2)

H. Schmidt and A. Imamoglu, Opt. Lett. 21, 1936 (1996).
[CrossRef] [PubMed]

V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).
[CrossRef] [PubMed]

1995 (1)

1991 (1)

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1991).
[CrossRef]

Artoni, M.

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Bergmann, K.

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, Adv. At., Mol., Opt. Phys. 46, 55 (2001).
[CrossRef]

Cataliotti, F.

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Chen, Y.-C.

Y.-C. Chen, Y.-A. Liao, H.-Y. Chiu, J.-J. Su, and I. A. Yu, Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Chiu, H.-Y.

Y.-C. Chen, Y.-A. Liao, H.-Y. Chiu, J.-J. Su, and I. A. Yu, Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Christou, J.

V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).
[CrossRef] [PubMed]

Corbalan, R.

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Cronin-Golomb, M.

Deutsch, M.

A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997).
[CrossRef]

Donoghue, J.

Field, J. E.

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1991).
[CrossRef]

Fleischhauer, M.

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, Adv. At., Mol., Opt. Phys. 46, 55 (2001).
[CrossRef]

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 60, 3225 (1999).
[CrossRef]

Friedmann, H.

C. Goren, A. D. Wilson-Gordon, M. Rosenbluh, and H. Friedmann, Phys. Rev. A 69, 063802 (2004).
[CrossRef]

Gong, S.

Y. Niu, R. Li, and S. Gong, Phys. Rev. A 71, 043819 (2005).
[CrossRef]

Y. Niu, S. Gong, R. Li, and S. Jin, Phys. Rev. A 70, 023805 (2004).
[CrossRef]

Goorskey, D. J.

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

H. Wang, D. J. Goorskey, and M. Xiao, J. Mod. Opt. 49, 335 (2001).
[CrossRef]

Goren, C.

C. Goren, A. D. Wilson-Gordon, M. Rosenbluh, and H. Friedmann, Phys. Rev. A 69, 063802 (2004).
[CrossRef]

Hammer, P. R.

Harris, S. E.

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

S. E. Harris, Phys. Today 50(7), 36 (1997), and reference therein.
[CrossRef]

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1991).
[CrossRef]

Hau, L. V.

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

Hemmer, P. R.

S. F. Yelin and P. R. Hemmer, Phys. Rev. A 66, 013803 (2002).
[CrossRef]

Imamoglu, A.

A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997).
[CrossRef]

H. Schmidt and A. Imamoglu, Opt. Lett. 21, 1936 (1996).
[CrossRef] [PubMed]

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1991).
[CrossRef]

Jin, S.

Y. Niu, S. Gong, R. Li, and S. Jin, Phys. Rev. A 70, 023805 (2004).
[CrossRef]

Kang, H.

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

Katz, D. P.

Kumar, P.

Li, R.

Y. Niu, R. Li, and S. Gong, Phys. Rev. A 71, 043819 (2005).
[CrossRef]

Y. Niu, S. Gong, R. Li, and S. Jin, Phys. Rev. A 70, 023805 (2004).
[CrossRef]

Liao, Y.-A.

Y.-C. Chen, Y.-A. Liao, H.-Y. Chiu, J.-J. Su, and I. A. Yu, Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Lukin, M. D.

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 60, 3225 (1999).
[CrossRef]

Luther-Davies, B.

V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).
[CrossRef] [PubMed]

Matsko, A. B.

Niu, Y.

Y. Niu, R. Li, and S. Gong, Phys. Rev. A 71, 043819 (2005).
[CrossRef]

Y. Niu, S. Gong, R. Li, and S. Jin, Phys. Rev. A 70, 023805 (2004).
[CrossRef]

Novikova, I.

Ottaviani, C.

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Rebic, S.

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Rosenbluh, M.

C. Goren, A. D. Wilson-Gordon, M. Rosenbluh, and H. Friedmann, Phys. Rev. A 69, 063802 (2004).
[CrossRef]

Schmidt, H.

A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997).
[CrossRef]

H. Schmidt and A. Imamoglu, Opt. Lett. 21, 1936 (1996).
[CrossRef] [PubMed]

Scully, M. O.

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 60, 3225 (1999).
[CrossRef]

Shahriar, M. S.

Shore, B. W.

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, Adv. At., Mol., Opt. Phys. 46, 55 (2001).
[CrossRef]

Su, J.-J.

Y.-C. Chen, Y.-A. Liao, H.-Y. Chiu, J.-J. Su, and I. A. Yu, Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Tikhonenko, V.

V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).
[CrossRef] [PubMed]

Tombesi, P.

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Vitali, D.

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Vitanov, N. V.

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, Adv. At., Mol., Opt. Phys. 46, 55 (2001).
[CrossRef]

Wang, H.

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

H. Wang, D. J. Goorskey, and M. Xiao, J. Mod. Opt. 49, 335 (2001).
[CrossRef]

Welch, G. R.

Wilson-Gordon, A. D.

C. Goren, A. D. Wilson-Gordon, M. Rosenbluh, and H. Friedmann, Phys. Rev. A 69, 063802 (2004).
[CrossRef]

Woods, G.

A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997).
[CrossRef]

Xiao, M.

H. Wang, D. J. Goorskey, and M. Xiao, J. Mod. Opt. 49, 335 (2001).
[CrossRef]

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

Yelin, S. F.

S. F. Yelin and P. R. Hemmer, Phys. Rev. A 66, 013803 (2002).
[CrossRef]

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 60, 3225 (1999).
[CrossRef]

Yu, I. A.

Y.-C. Chen, Y.-A. Liao, H.-Y. Chiu, J.-J. Su, and I. A. Yu, Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Zhu, Y.

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

Zubairy, M. S.

Adv. At., Mol., Opt. Phys. (1)

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, Adv. At., Mol., Opt. Phys. 46, 55 (2001).
[CrossRef]

J. Mod. Opt. (1)

H. Wang, D. J. Goorskey, and M. Xiao, J. Mod. Opt. 49, 335 (2001).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (7)

S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A 70, 032317 (2004).
[CrossRef]

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 60, 3225 (1999).
[CrossRef]

Y.-C. Chen, Y.-A. Liao, H.-Y. Chiu, J.-J. Su, and I. A. Yu, Phys. Rev. A 64, 053806 (2001).
[CrossRef]

S. F. Yelin and P. R. Hemmer, Phys. Rev. A 66, 013803 (2002).
[CrossRef]

C. Goren, A. D. Wilson-Gordon, M. Rosenbluh, and H. Friedmann, Phys. Rev. A 69, 063802 (2004).
[CrossRef]

Y. Niu, S. Gong, R. Li, and S. Jin, Phys. Rev. A 70, 023805 (2004).
[CrossRef]

Y. Niu, R. Li, and S. Gong, Phys. Rev. A 71, 043819 (2005).
[CrossRef]

Phys. Rev. Lett. (6)

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

S. E. Harris, J. E. Field, and A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1991).
[CrossRef]

V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).
[CrossRef] [PubMed]

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

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997).
[CrossRef]

Phys. Today (1)

S. E. Harris, Phys. Today 50(7), 36 (1997), and reference therein.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Generic four-level Λ-type system with a twofold level structure.

Fig. 2
Fig. 2

Variation of Re [ χ ( 3 ) ] with the probe detuning Δ 1 . Parameters are Ω c = 1.0 and Δ 3 = 0.0 . Ω d = 0.2 (solid curve) and Ω d = 0.0 (dotted curve).

Fig. 3
Fig. 3

Variation of Re [ χ ( 3 ) ] (solid curve) and Im [ χ ( 1 ) ] (dotted curve) as a function of the probe detuning Δ 1 . Parameters are Ω c = 1.0 and Ω d = 0.2 ; (a) Δ 3 = 0.0 , (b) Δ 3 = 0.5 , (c) Δ 3 = 1.0 .

Fig. 4
Fig. 4

Variation of Re [ χ ( 3 ) ] (solid curve) and Re [ T 1 ] (dotted curve) versus the probe detuning Δ 1 . Parameters are Ω c = 1.0 , and Ω d = 0.2 ; (a) Δ 3 = 0.0 , (b) Δ 3 = 1.0 .

Equations (2)

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

χ ( 1 ) = 2 N μ 12 2 ε 0 2 ( Δ 1 2 Δ 1 Δ 3 Ω d 2 ) Δ 1 3 + i Δ 1 2 ( r + i Δ 3 ) i r Ω d 2 + Δ 3 Ω c 2 + Δ 1 ( i r Δ 3 Ω d 2 Ω c 2 ) ,
χ ( 3 ) = 2 N μ 12 4 3 ε 0 3 1 ( i r + Δ 1 ) ( Δ 1 2 Δ 1 Δ 3 Ω d 2 ) ( Δ 1 Δ 3 ) Ω c 2 { 2 Ω d 2 Ω c 2 ( Δ 1 Δ 3 + Δ 3 2 + Δ d 2 ) [ i ( r i Δ 1 ) ( Δ 1 2 Δ 1 Δ 3 Ω d 2 ) + ( Δ 1 Δ 3 ) Ω c 2 ] 2 + ( Δ 1 2 Δ 1 Δ 3 Ω d 2 ) 3 [ Δ 3 2 + 2 ( r 2 + Ω d 2 ) ] [ ( i r + Δ 1 ) ( Δ 1 2 Δ 1 Δ 3 Ω d 2 ) Ω c ( Δ 1 Δ 3 ) Ω c 3 ] 2 [ Δ 1 ( Δ 1 + Δ 3 ) + Ω d 2 ] 2 [ i ( r 13 i Δ 1 ) ( Δ 1 Δ 3 ) + 12 Ω d 2 ] 2 Δ 1 ( Δ 1 Δ 3 ) 3 Ω c 2 [ ( i r + Δ 1 ) ( Δ 1 2 Δ 1 Δ 3 Ω d 2 ) ( Δ 1 Δ 3 ) Ω c 2 ] 2 } .

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