Abstract

We studied anticorrelated quantum fluctuations between the TEM00 and the TEM01 transverse modes of a vertical-cavity surface-emitting semiconductor laser by measuring the transverse spatial distribution of the laser beam intensity noise. Our experimental results are found to be in good agreement with the predictions of a phenomenological model that accounts for quantum correlations between transverse modes in a light beam.

© 1999 Optical Society of America

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  1. D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
    [CrossRef]
  2. Y. Yamamoto, S. Machida, and O. Nilsson, Phys. Rev. A 34, 4025 (1986).
    [CrossRef] [PubMed]
  3. J.-L. Vey and W. Elsässer, Opt. Lett. 23, 721 (1998).
    [CrossRef]
  4. J. Martin-Regalado, S. Balle, and M. San Miguel, Opt. Lett. 22, 460 (1997).
    [CrossRef] [PubMed]
  5. J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
    [CrossRef]
  6. D. C. Kilper, P. A. Roos, and J. L. Carlsten, Phys. Rev. A 55, R3323 (1997).
    [CrossRef]
  7. S. Inoue, H. Ohzu, S. Machida, and Y. Yamamoto, Phys. Rev. A 46, 2757 (1992).
    [CrossRef] [PubMed]
  8. F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
    [CrossRef] [PubMed]
  9. D. C. Kilper, D. G. Steel, R. Craig, and D. R. Scifres, Opt. Lett. 21, 1283 (1996).
    [CrossRef] [PubMed]
  10. M. D. Levenson, W. H. Richardson, and S. H. Perlmutter, Opt. Lett. 14, 779 (1989).
    [CrossRef] [PubMed]
  11. J.-Ph. Poizat, T. Chang, O. Ripoll, and Ph. Grangier, J. Opt. Soc. Am. B 15, 1757 (1998).
    [CrossRef]
  12. G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998).
    [CrossRef]
  13. G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
    [CrossRef]
  14. F. Marin and G. Giacomelli, Quantum Semiclassic. Opt. 1, 128 (1999).
    [CrossRef]
  15. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), p. 125.

1999 (1)

F. Marin and G. Giacomelli, Quantum Semiclassic. Opt. 1, 128 (1999).
[CrossRef]

1998 (5)

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998).
[CrossRef]

G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

J.-Ph. Poizat, T. Chang, O. Ripoll, and Ph. Grangier, J. Opt. Soc. Am. B 15, 1757 (1998).
[CrossRef]

J.-L. Vey and W. Elsässer, Opt. Lett. 23, 721 (1998).
[CrossRef]

1997 (3)

J. Martin-Regalado, S. Balle, and M. San Miguel, Opt. Lett. 22, 460 (1997).
[CrossRef] [PubMed]

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

D. C. Kilper, P. A. Roos, and J. L. Carlsten, Phys. Rev. A 55, R3323 (1997).
[CrossRef]

1996 (1)

1995 (1)

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

1992 (1)

S. Inoue, H. Ohzu, S. Machida, and Y. Yamamoto, Phys. Rev. A 46, 2757 (1992).
[CrossRef] [PubMed]

1989 (1)

1986 (1)

Y. Yamamoto, S. Machida, and O. Nilsson, Phys. Rev. A 34, 4025 (1986).
[CrossRef] [PubMed]

Abraham, N. B.

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

Balle, S.

Bramati, A.

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

Carlsten, J. L.

D. C. Kilper, P. A. Roos, and J. L. Carlsten, Phys. Rev. A 55, R3323 (1997).
[CrossRef]

Chang, T.

Craig, R.

Ebeling, K. J.

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

Elsässer, W.

Gabrysch, M.

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998).
[CrossRef]

Giacobino, E.

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

Giacomelli, G.

F. Marin and G. Giacomelli, Quantum Semiclassic. Opt. 1, 128 (1999).
[CrossRef]

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998).
[CrossRef]

G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

Grabherr, M.

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

Grangier, P.

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

Grangier, Ph.

Gulden, K. H.

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998).
[CrossRef]

Inoue, S.

S. Inoue, H. Ohzu, S. Machida, and Y. Yamamoto, Phys. Rev. A 46, 2757 (1992).
[CrossRef] [PubMed]

Jager, R.

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

Jung, C.

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

Kilper, D. C.

D. C. Kilper, P. A. Roos, and J. L. Carlsten, Phys. Rev. A 55, R3323 (1997).
[CrossRef]

D. C. Kilper, D. G. Steel, R. Craig, and D. R. Scifres, Opt. Lett. 21, 1283 (1996).
[CrossRef] [PubMed]

Levenson, M. D.

Machida, S.

S. Inoue, H. Ohzu, S. Machida, and Y. Yamamoto, Phys. Rev. A 46, 2757 (1992).
[CrossRef] [PubMed]

Y. Yamamoto, S. Machida, and O. Nilsson, Phys. Rev. A 34, 4025 (1986).
[CrossRef] [PubMed]

Marin, F.

F. Marin and G. Giacomelli, Quantum Semiclassic. Opt. 1, 128 (1999).
[CrossRef]

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998).
[CrossRef]

G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

Martin-Regalado, J.

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

J. Martin-Regalado, S. Balle, and M. San Miguel, Opt. Lett. 22, 460 (1997).
[CrossRef] [PubMed]

Michalzik, R.

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

Moser, M.

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998).
[CrossRef]

Nilsson, O.

Y. Yamamoto, S. Machida, and O. Nilsson, Phys. Rev. A 34, 4025 (1986).
[CrossRef] [PubMed]

Ohzu, H.

S. Inoue, H. Ohzu, S. Machida, and Y. Yamamoto, Phys. Rev. A 46, 2757 (1992).
[CrossRef] [PubMed]

Perlmutter, S. H.

Poizat, J.-Ph.

J.-Ph. Poizat, T. Chang, O. Ripoll, and Ph. Grangier, J. Opt. Soc. Am. B 15, 1757 (1998).
[CrossRef]

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

Prati, F.

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

Richardson, W. H.

Ripoll, O.

Roch, J.-F.

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

Roos, P. A.

D. C. Kilper, P. A. Roos, and J. L. Carlsten, Phys. Rev. A 55, R3323 (1997).
[CrossRef]

San Miguel, M.

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

J. Martin-Regalado, S. Balle, and M. San Miguel, Opt. Lett. 22, 460 (1997).
[CrossRef] [PubMed]

Schnitzer, P.

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

Scifres, D. R.

Scully, M. O.

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), p. 125.

Steel, D. G.

Vey, J.-L.

Wiedenmann, D.

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

Yamamoto, Y.

S. Inoue, H. Ohzu, S. Machida, and Y. Yamamoto, Phys. Rev. A 46, 2757 (1992).
[CrossRef] [PubMed]

Y. Yamamoto, S. Machida, and O. Nilsson, Phys. Rev. A 34, 4025 (1986).
[CrossRef] [PubMed]

Zhang, T.-C.

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

Zubairy, M. S.

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), p. 125.

Appl. Phys. Lett. (1)

D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jager, R. Michalzik, and K. J. Ebeling, Appl. Phys. Lett. 73, 717 (1998).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

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

Opt. Commun. (1)

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. A (3)

Y. Yamamoto, S. Machida, and O. Nilsson, Phys. Rev. A 34, 4025 (1986).
[CrossRef] [PubMed]

D. C. Kilper, P. A. Roos, and J. L. Carlsten, Phys. Rev. A 55, R3323 (1997).
[CrossRef]

S. Inoue, H. Ohzu, S. Machida, and Y. Yamamoto, Phys. Rev. A 46, 2757 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

F. Marin, A. Bramati, E. Giacobino, T.-C. Zhang, J.-Ph. Poizat, J.-F. Roch, and P. Grangier, Phys. Rev. Lett. 75, 4606 (1995).
[CrossRef] [PubMed]

Quantum Semiclassic. Opt. (2)

G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

F. Marin and G. Giacomelli, Quantum Semiclassic. Opt. 1, 128 (1999).
[CrossRef]

Other (1)

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), p. 125.

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Figures (3)

Fig. 1
Fig. 1

Experimental setup. The razor blade is mounted upon a motorized translation stage.

Fig. 2
Fig. 2

Normalized intensity noise spectrum versus the position of the razor blade normalized to the size of the beam. v00=480.6, v01=28.22, C=-1, q=0.11.

Fig. 3
Fig. 3

Normalized intensity noise versus the position of the razor blade normalized to the size of the beam. (a) Theoretical prediction, (b) experimental results. The parameters are C=-0.98, v00=80.2, v01=3648, and q=34.8. (c) Normalized intensity noise that would be obtained by attenuation of the full beam to the intensity of the cut beam when the blade is at position y.

Equations (4)

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

T00y=2/wπy+ exp-2u2/w2du,
T01y=42/w3πy+u2 exp-2u2/w2du,
C=δn2-δn002+δn0122δn002δn0121/2,
Sy=T00yqT00yq+T01y1+T00yv00+T01yT00yq+T01y1+T01yv01+2T00yT01yT00yq+T01yCq1+v001+v011/2.

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