Abstract

A laser's intensity can be stabilized by negative feedback from a conventional photodetector. I propose extraction of sub-shot-noise light from the feedback loop at a beam splitter by illuminating the back side of the beam splitter with squeezed-state light.

© 1987 Optical Society of America

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References

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  1. R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
    [CrossRef] [PubMed]
  2. R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, Phys. Rev. Lett. 57, 691 (1986).
    [CrossRef] [PubMed]
  3. L.-A. Wu, H. J. Kimble, J. L. Hall, H. Wu, Phys. Rev. Lett. 57, 2520 (1986).
    [CrossRef] [PubMed]
  4. M. W. Maeda, P. Kumar, J. H. Shapiro, Opt. Lett. 12, 161 (1987).
    [CrossRef] [PubMed]
  5. S. Machida, Y. Yamamoto, Opt. Commun. 57, 290 (1986).
    [CrossRef]
  6. Y. Yamamoto, N. Imoto, S. Machida, Phys. Rev. A 33, 3243 (1986).
    [CrossRef] [PubMed]
  7. H. A. Haus, Y. Yamamoto, Phys. Rev. A 34, 270 (1986).
    [CrossRef] [PubMed]
  8. J. H. Shapiro, G. Saplakoglu, S.-T. Ho, P. Kumar, B. E. A. Saleh, M. C. Teich, J. Opt. Soc. Am. B 4, 1604 (1987).
    [CrossRef]
  9. J. H. Shapiro, M. C. Teich, B. E. A. Saleh, P. Kumar, G. Saplakoglu, Phys. Rev. Lett. 56, 1136 (1986).
    [CrossRef] [PubMed]
  10. N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. A 32, 2287 (1985).
    [CrossRef] [PubMed]

1987 (2)

1986 (6)

R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, Phys. Rev. Lett. 57, 691 (1986).
[CrossRef] [PubMed]

L.-A. Wu, H. J. Kimble, J. L. Hall, H. Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef] [PubMed]

S. Machida, Y. Yamamoto, Opt. Commun. 57, 290 (1986).
[CrossRef]

Y. Yamamoto, N. Imoto, S. Machida, Phys. Rev. A 33, 3243 (1986).
[CrossRef] [PubMed]

H. A. Haus, Y. Yamamoto, Phys. Rev. A 34, 270 (1986).
[CrossRef] [PubMed]

J. H. Shapiro, M. C. Teich, B. E. A. Saleh, P. Kumar, G. Saplakoglu, Phys. Rev. Lett. 56, 1136 (1986).
[CrossRef] [PubMed]

1985 (2)

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. A 32, 2287 (1985).
[CrossRef] [PubMed]

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
[CrossRef] [PubMed]

DeVoe, R. G.

R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, Phys. Rev. Lett. 57, 691 (1986).
[CrossRef] [PubMed]

Hall, J. L.

L.-A. Wu, H. J. Kimble, J. L. Hall, H. Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef] [PubMed]

Haus, H. A.

H. A. Haus, Y. Yamamoto, Phys. Rev. A 34, 270 (1986).
[CrossRef] [PubMed]

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. A 32, 2287 (1985).
[CrossRef] [PubMed]

Ho, S.-T.

Hollberg, L. W.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
[CrossRef] [PubMed]

Imoto, N.

Y. Yamamoto, N. Imoto, S. Machida, Phys. Rev. A 33, 3243 (1986).
[CrossRef] [PubMed]

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. A 32, 2287 (1985).
[CrossRef] [PubMed]

Kimble, H. J.

L.-A. Wu, H. J. Kimble, J. L. Hall, H. Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef] [PubMed]

Kumar, P.

Levenson, M. D.

R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, Phys. Rev. Lett. 57, 691 (1986).
[CrossRef] [PubMed]

Machida, S.

S. Machida, Y. Yamamoto, Opt. Commun. 57, 290 (1986).
[CrossRef]

Y. Yamamoto, N. Imoto, S. Machida, Phys. Rev. A 33, 3243 (1986).
[CrossRef] [PubMed]

Maeda, M. W.

Mertz, J. C.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
[CrossRef] [PubMed]

Perlmutter, S. H.

R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, Phys. Rev. Lett. 57, 691 (1986).
[CrossRef] [PubMed]

Saleh, B. E. A.

J. H. Shapiro, G. Saplakoglu, S.-T. Ho, P. Kumar, B. E. A. Saleh, M. C. Teich, J. Opt. Soc. Am. B 4, 1604 (1987).
[CrossRef]

J. H. Shapiro, M. C. Teich, B. E. A. Saleh, P. Kumar, G. Saplakoglu, Phys. Rev. Lett. 56, 1136 (1986).
[CrossRef] [PubMed]

Saplakoglu, G.

J. H. Shapiro, G. Saplakoglu, S.-T. Ho, P. Kumar, B. E. A. Saleh, M. C. Teich, J. Opt. Soc. Am. B 4, 1604 (1987).
[CrossRef]

J. H. Shapiro, M. C. Teich, B. E. A. Saleh, P. Kumar, G. Saplakoglu, Phys. Rev. Lett. 56, 1136 (1986).
[CrossRef] [PubMed]

Shapiro, J. H.

Shelby, R. M.

R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, Phys. Rev. Lett. 57, 691 (1986).
[CrossRef] [PubMed]

Slusher, R. E.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
[CrossRef] [PubMed]

Teich, M. C.

J. H. Shapiro, G. Saplakoglu, S.-T. Ho, P. Kumar, B. E. A. Saleh, M. C. Teich, J. Opt. Soc. Am. B 4, 1604 (1987).
[CrossRef]

J. H. Shapiro, M. C. Teich, B. E. A. Saleh, P. Kumar, G. Saplakoglu, Phys. Rev. Lett. 56, 1136 (1986).
[CrossRef] [PubMed]

Valley, J. F.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
[CrossRef] [PubMed]

Walls, D. F.

R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, Phys. Rev. Lett. 57, 691 (1986).
[CrossRef] [PubMed]

Wu, H.

L.-A. Wu, H. J. Kimble, J. L. Hall, H. Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef] [PubMed]

Wu, L.-A.

L.-A. Wu, H. J. Kimble, J. L. Hall, H. Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef] [PubMed]

Yamamoto, Y.

H. A. Haus, Y. Yamamoto, Phys. Rev. A 34, 270 (1986).
[CrossRef] [PubMed]

S. Machida, Y. Yamamoto, Opt. Commun. 57, 290 (1986).
[CrossRef]

Y. Yamamoto, N. Imoto, S. Machida, Phys. Rev. A 33, 3243 (1986).
[CrossRef] [PubMed]

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. A 32, 2287 (1985).
[CrossRef] [PubMed]

Yurke, B.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
[CrossRef] [PubMed]

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

S. Machida, Y. Yamamoto, Opt. Commun. 57, 290 (1986).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (3)

Y. Yamamoto, N. Imoto, S. Machida, Phys. Rev. A 33, 3243 (1986).
[CrossRef] [PubMed]

H. A. Haus, Y. Yamamoto, Phys. Rev. A 34, 270 (1986).
[CrossRef] [PubMed]

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. A 32, 2287 (1985).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

J. H. Shapiro, M. C. Teich, B. E. A. Saleh, P. Kumar, G. Saplakoglu, Phys. Rev. Lett. 56, 1136 (1986).
[CrossRef] [PubMed]

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
[CrossRef] [PubMed]

R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, Phys. Rev. Lett. 57, 691 (1986).
[CrossRef] [PubMed]

L.-A. Wu, H. J. Kimble, J. L. Hall, H. Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef] [PubMed]

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Figures (1)

Fig. 1
Fig. 1

Technique for stabilizing laser intensity and extracting sub-shot-noise light at a beam splitter.

Equations (18)

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E a L ( + ) = + d ω 2 π a L ( ω ) e i ω t = P L 1 / 2 e i Ω t + δ E a L ( + ) .
E a L ( + ) = ( E a L , 1 + i E a L , 2 ) e i Ω t .
[ E a L , 1 ( t ) , E a L , 2 ( t ) ] = ½ i [ E a L ( + ) ( t ) , E a L ( ) ( t ) ] = ½ i δ ( t t ) .
E a 1 ( + ) = [ ( 1 ξ ) T 0 P L ] 1 / 2 e i Ω t + δ E a 1 ( + ) ,
δ E a 1 ( + ) = ( + ) ½ ζ [ ( 1 ξ ) T 0 P L ] 1 / 2 δ I 1 ( t ) e i Ω t
( + ) ( 1 ξ ) 1 / 2 [ T 0 1 / 2 δ E a L ( + ) ( 1 T 0 ) 1 / 2 E d ( + ) ] ξ 1 / 2 E a ̅ ( + )
E b 1 ( + ) = χ 1 / 2 E a 1 ( + ) ( 1 χ ) 1 / 2 E a 2 ( + ) ,
E b 2 ( + ) = ( 1 χ ) 1 / 2 E a 1 ( + ) + χ 1 / 2 E a 2 ( + ) .
δ I 1 ( t ) = 2 ( η 1 P 1 ) 1 / 2 [ η 1 1 / 2 δ E b 1 , 1 + ( 1 η 1 ) 1 / 2 E 1 , 1 ] ,
δ I 1 ( t ) = F ( 2 ( η 1 P 1 ) 1 / 2 { η 1 1 / 2 [ χ 1 / 2 1 ( 1 χ ) 1 / 2 E a 2 , 1 ] + ( 1 η 1 ) 1 / 2 E 1 , 1 } ) ,
S I 1 ( ) = F 2 ( 2 η 1 P 1 { 1 + η 1 ( 1 χ ) [ R a 2 , 1 ( ) 1 ] } ) ,
δ E b 2 , 1 = F ( 1 χ ) 1 / 2 1 + 1 F ( 1 χ ) χ 1 / 2 E a 2 , 1 ( 1 F ) ( 1 χ χ ) 1 / 2 ( 1 η 1 η 1 ) 1 / 2 E 1 , 1 ,
δ E b 2 , 2 = ( 1 χ ) 1 / 2 2 + χ 1 / 2 E a 2 , 2 .
R b 2 , 1 ( ) = F 2 ( 1 χ ) + [ 1 F ( 1 χ ) ] 2 χ R a 2 , 1 ( ) + ( 1 F ) 2 1 χ χ 1 η 1 η 1 = 1 + ( 1 F ) 2 1 χ χ η 1 + [ 1 F ( 1 χ ) ] 2 χ [ R a 2 , 1 ( ) 1 ] ,
R b 2 , 2 ( ) = 1 χ + χ R a 2 , 2 ( ) .
S I 2 ( ) = 2 η 2 P 2 [ η 2 R b 2 , 1 ( ) + 1 η 2 ] .
S I 2 ( ) = 2 η P 2 { 1 + η [ R a 2 , 1 ( ) 1 ] χ } η = 1 2 η P 2 R a 2 , 1 ( ) χ .
Q ( ) S I 2 ( ) / I 2 2 2 η P L / η 2 P L 2 = 1 ( 1 χ ) ( 1 ξ ) T 0 S I 2 ( ) 2 η P 2 .

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