Abstract

We experimentally demonstrate spatial interference between simultaneously generated four-wave mixing (FWM) and six-wave mixing (SWM) signals in a multilevel atomic system. By tuning the relative phase between the FWM and SWM processes the relative strengths between these two high-order nonlinear optical processes can be investigated.

© 2008 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
  8. Y. P. Zhang and M. Xiao, Appl. Phys. Lett. 90, 111104 (2007).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]

2008

J. Wen, S. Du, Y. P. Zhang, M. Xiao, and M. H. Rubin, Phys. Rev. A 77, 033816 (2008).
[CrossRef]

K. Harada, N. Harashi, K. Mori, and M. Misunaga, J. Opt. Soc. Am. B 25, 40 (2008).
[CrossRef]

2007

Y. P. Zhang, A. W. Brown, and M. Xiao, Opt. Lett. 32, 1120 (2007).
[CrossRef] [PubMed]

Y. P. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. Lett. 99, 123603 (2007).
[CrossRef] [PubMed]

Y. P. Zhang and M. Xiao, Appl. Phys. Lett. 90, 111104 (2007).
[CrossRef]

2006

H. Michinel, M. J. Paz-Alonso, and V. M. Pérez-García, Phys. Rev. Lett. 96, 023903 (2006).
[CrossRef] [PubMed]

2005

2004

D. A. Braje, V. Balix, S. Goda, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

H. Kang, G. Hernandez, and Y. Zhu, Phys. Rev. A 70, 061804(R) (2004).
[CrossRef]

2000

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. At., Mol., Opt. Phys. 42, 347 (2000), and references therein.
[CrossRef]

1998

1996

1995

Balix, V.

D. A. Braje, V. Balix, S. Goda, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Braje, D. A.

D. A. Braje, V. Balix, S. Goda, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Brown, A. W.

Y. P. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. Lett. 99, 123603 (2007).
[CrossRef] [PubMed]

Y. P. Zhang, A. W. Brown, and M. Xiao, Opt. Lett. 32, 1120 (2007).
[CrossRef] [PubMed]

Burkett, W. H.

Cronin-Golomb, M.

Donochue, J.

Du, S.

J. Wen, S. Du, Y. P. Zhang, M. Xiao, and M. H. Rubin, Phys. Rev. A 77, 033816 (2008).
[CrossRef]

Gea-Banacloche, J.

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Goda, S.

D. A. Braje, V. Balix, S. Goda, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Harada, K.

Harashi, N.

Harris, S. E.

D. A. Braje, V. Balix, S. Goda, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

Hemmer, P. R.

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. At., Mol., Opt. Phys. 42, 347 (2000), and references therein.
[CrossRef]

P. R. Hemmer, D. P. Katz, J. Donochue, M. Cronin-Golomb, M. S. Shahriar, and P. Kumar, Opt. Lett. 20, 982 (1995).
[CrossRef] [PubMed]

Hernandez, G.

H. Kang, G. Hernandez, and Y. Zhu, Phys. Rev. A 70, 061804(R) (2004).
[CrossRef]

Jin, S.

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Kanbashi, T.

Kang, H.

H. Kang, G. Hernandez, and Y. Zhu, Phys. Rev. A 70, 061804(R) (2004).
[CrossRef]

Katz, D. P.

Kumar, P.

Li, Y.

Y. Li and Min Xiao, Opt. Lett. 21, 1064 (1996).
[CrossRef] [PubMed]

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Lü, B.

Lukin, M. D.

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. At., Mol., Opt. Phys. 42, 347 (2000), and references therein.
[CrossRef]

Michinel, H.

H. Michinel, M. J. Paz-Alonso, and V. M. Pérez-García, Phys. Rev. Lett. 96, 023903 (2006).
[CrossRef] [PubMed]

Misunaga, M.

Mitsunaga, M.

Mori, K.

Moromura, K.

Paz-Alonso, M. J.

H. Michinel, M. J. Paz-Alonso, and V. M. Pérez-García, Phys. Rev. Lett. 96, 023903 (2006).
[CrossRef] [PubMed]

Pérez-García, V. M.

H. Michinel, M. J. Paz-Alonso, and V. M. Pérez-García, Phys. Rev. Lett. 96, 023903 (2006).
[CrossRef] [PubMed]

Rubin, M. H.

J. Wen, S. Du, Y. P. Zhang, M. Xiao, and M. H. Rubin, Phys. Rev. A 77, 033816 (2008).
[CrossRef]

Scully, M. O.

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. At., Mol., Opt. Phys. 42, 347 (2000), and references therein.
[CrossRef]

Shahriar, M. S.

Tanaka, S.

Wen, J.

J. Wen, S. Du, Y. P. Zhang, M. Xiao, and M. H. Rubin, Phys. Rev. A 77, 033816 (2008).
[CrossRef]

Xiao, M.

J. Wen, S. Du, Y. P. Zhang, M. Xiao, and M. H. Rubin, Phys. Rev. A 77, 033816 (2008).
[CrossRef]

Y. P. Zhang and M. Xiao, Appl. Phys. Lett. 90, 111104 (2007).
[CrossRef]

Y. P. Zhang, A. W. Brown, and M. Xiao, Opt. Lett. 32, 1120 (2007).
[CrossRef] [PubMed]

Y. P. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. Lett. 99, 123603 (2007).
[CrossRef] [PubMed]

B. Lü, W. H. Burkett, and M. Xiao, Opt. Lett. 23, 804 (1998).
[CrossRef]

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Xiao, Min

Zhang, Y. P.

J. Wen, S. Du, Y. P. Zhang, M. Xiao, and M. H. Rubin, Phys. Rev. A 77, 033816 (2008).
[CrossRef]

Y. P. Zhang and M. Xiao, Appl. Phys. Lett. 90, 111104 (2007).
[CrossRef]

Y. P. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. Lett. 99, 123603 (2007).
[CrossRef] [PubMed]

Y. P. Zhang, A. W. Brown, and M. Xiao, Opt. Lett. 32, 1120 (2007).
[CrossRef] [PubMed]

Zhu, Y.

H. Kang, G. Hernandez, and Y. Zhu, Phys. Rev. A 70, 061804(R) (2004).
[CrossRef]

Adv. At., Mol., Opt. Phys.

M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. At., Mol., Opt. Phys. 42, 347 (2000), and references therein.
[CrossRef]

Appl. Phys. Lett.

Y. P. Zhang and M. Xiao, Appl. Phys. Lett. 90, 111104 (2007).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. A

H. Kang, G. Hernandez, and Y. Zhu, Phys. Rev. A 70, 061804(R) (2004).
[CrossRef]

J. Wen, S. Du, Y. P. Zhang, M. Xiao, and M. H. Rubin, Phys. Rev. A 77, 033816 (2008).
[CrossRef]

J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, Phys. Rev. A 51, 576 (1995).
[CrossRef] [PubMed]

Phys. Rev. Lett.

H. Michinel, M. J. Paz-Alonso, and V. M. Pérez-García, Phys. Rev. Lett. 96, 023903 (2006).
[CrossRef] [PubMed]

Y. P. Zhang, A. W. Brown, and M. Xiao, Phys. Rev. Lett. 99, 123603 (2007).
[CrossRef] [PubMed]

D. A. Braje, V. Balix, S. Goda, and S. E. Harris, Phys. Rev. Lett. 93, 183601 (2004).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

(a) Three-dimensional beam geometry of the laser beams. (b) Five-level atomic system in Rb 85 for generating both FWM and SWM signals.

Fig. 2
Fig. 2

(a) FWM profile and its cross sections, (b) SWM profile and its cross sections, (c) interference profile and its cross sections. Δ 1 = 250 MHz , Δ 2 = 250 MHz , Δ 3 = 750 MHz , P 1 = 16.7 mW , P 2 = 10.2 mW , P 2 = 2.6 mW , P 3 = 66 mW , and P 3 = 72 mW .

Fig. 3
Fig. 3

Cross sections of the phase-dependent component in the spatial profile for different phases. Δ 1 = 250 MHz , Δ 2 = 250 MHz , Δ 3 = 750 MHz , P 1 = 16.7 mW , P 2 = 10.2 mW , P 2 = 2.6 mW , P 3 = 66 mW , and P 3 = 72 mW .

Fig. 4
Fig. 4

Intensity in the small region of interest for two different values of the power in E 2 . (a) P E 2 = 712 μ W . (b) P E 2 = 460 μ W . Δ 1 = 250 MHz , Δ 2 = 250 MHz , Δ 3 = 750 MHz , P 1 = 7.7 mW , P 2 = 15.8 mW , P 3 = 82.5 mW , and P 3 = 83.5 mW .

Fig. 5
Fig. 5

Visibility of the interference as a function of the E 2 power. Δ 1 = 250 MHz , Δ 2 = 250 MHz , Δ 3 = 750 MHz , P 1 = 7.7 mW , P 2 = 15.8 mW , P 3 = 82.5 mW , and P 3 = 83.5 mW .

Equations (2)

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I = I f + I s + 2 I f I s sin ( ϕ ) ,
V = 2 χ ( 3 ) E 2 * χ ( 5 ) E 2 * E 3 E 3 * ( 1 + χ ( 3 ) E 2 * χ ( 5 ) E 2 * E 3 E 3 * ) ,

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