Abstract

We report significant enhancement of the nonlinear Faraday rotation in optically thick Rb vapor. Polarization rotation angles as large as 10  rad were observed for what is believed to be the first time for sub-Gauss magnetic fields. The use of this effect for high-precision magnetometry is also discussed.

© 2001 Optical Society of America

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  1. W. Gawlik, in Modern Nonlinear Optics, M. Evans and S. Kielich, eds., Vol. LXXXV of Advances in Chemical Physics Series (Wiley, New York, 1994), Part 3, p. 733.
  2. D. Budker, D. J. Orlando, and V. Yashchuk, Am. J. Phys. 67, 584 (1999).
    [CrossRef]
  3. F. Schuller and D. N. Stacey, Phys. Rev. A 60, 973 (1999).
    [CrossRef]
  4. S. E. Harris, Phys. Today 50(7), 36 (1997).
    [CrossRef]
  5. D. Budker, V. Yashchuk, and M. Zolotorev, Phys. Rev. Lett. 81, 5788 (1998).
    [CrossRef]
  6. D. Budker, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and M. Zolotorev, Phys. Rev. A 62, 043403 (2000).
    [CrossRef]
  7. M. Fleischhauer, A. B. Matsko, and M. O. Scully, Phys. Rev. A 62, 013808 (2000).
    [CrossRef]
  8. V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
    [CrossRef]
  9. F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, Phys. Rev. A 55, 3710 (1997).
    [CrossRef]
  10. Y. Dancheva, G. Alzetta, S. Cartaleva, M. Taslakov, and C. Andreeva, Opt. Commun. 178, 103 (2000).
    [CrossRef]
  11. D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
    [CrossRef]
  12. This was first recognized by Breit in his explanation of the Hanle effect: G. Breit, Rev. Mod. Phys. 5, 91 (1933).
    [CrossRef]
  13. H. Lee, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 58, 2587 (1998).
    [CrossRef]
  14. W. Gawlik, J. Kowalski, R. Neumann, H. B. Wiegemann, and K. Winkler, J. Phys. B 12, 3873 (1979).
    [CrossRef]
  15. G. S. Agarwal, P. A. Lakshmi, J. P. Connerade, and S. West, J. Phys. B 30, 5971 (1997).
    [CrossRef]
  16. A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
    [CrossRef] [PubMed]
  17. T. Hollstein, Phys. Rev. 72, 1212 (1947).
    [CrossRef]
  18. A. F. Molisch and B. P. Oehry, Radiation Trapping in Atomic Vapours (Clarendon, Oxford, 1998).
  19. A. B. Matsko, I. Novikova, M. O. Scully, and G. R. Welch, “Radiation trapping in coherent media,” February1, 2001, arXiv.org e-Print archive, Preprint quart-ph/0101147, http://xxx.lanl.gov . Submitted to Phys. Rev. Lett.
    [CrossRef] [PubMed]
  20. I. Novikova, A. B. Matsko, V. A. Sautenkov, V. L. Velichansky, G. R. Welch, and M. O. Scully, Opt. Lett. 25, 1651 (2000).
    [CrossRef]
  21. E. B. Alexandrov and V. A. Bonch-Bruevich, Opt. Eng. 31, 711 (1992).
    [CrossRef]
  22. E. B. Alexandrov, M. V. Balabas, A. S. Pasgalev, A. K. Vershovskii, and N. N. Yakobson, Laser Phys. 6, 244 (1996).

2000 (5)

D. Budker, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and M. Zolotorev, Phys. Rev. A 62, 043403 (2000).
[CrossRef]

M. Fleischhauer, A. B. Matsko, and M. O. Scully, Phys. Rev. A 62, 013808 (2000).
[CrossRef]

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

Y. Dancheva, G. Alzetta, S. Cartaleva, M. Taslakov, and C. Andreeva, Opt. Commun. 178, 103 (2000).
[CrossRef]

I. Novikova, A. B. Matsko, V. A. Sautenkov, V. L. Velichansky, G. R. Welch, and M. O. Scully, Opt. Lett. 25, 1651 (2000).
[CrossRef]

1999 (3)

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

D. Budker, D. J. Orlando, and V. Yashchuk, Am. J. Phys. 67, 584 (1999).
[CrossRef]

F. Schuller and D. N. Stacey, Phys. Rev. A 60, 973 (1999).
[CrossRef]

1998 (2)

D. Budker, V. Yashchuk, and M. Zolotorev, Phys. Rev. Lett. 81, 5788 (1998).
[CrossRef]

H. Lee, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 58, 2587 (1998).
[CrossRef]

1997 (3)

G. S. Agarwal, P. A. Lakshmi, J. P. Connerade, and S. West, J. Phys. B 30, 5971 (1997).
[CrossRef]

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

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, Phys. Rev. A 55, 3710 (1997).
[CrossRef]

1996 (2)

A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
[CrossRef] [PubMed]

E. B. Alexandrov, M. V. Balabas, A. S. Pasgalev, A. K. Vershovskii, and N. N. Yakobson, Laser Phys. 6, 244 (1996).

1992 (1)

E. B. Alexandrov and V. A. Bonch-Bruevich, Opt. Eng. 31, 711 (1992).
[CrossRef]

1979 (1)

W. Gawlik, J. Kowalski, R. Neumann, H. B. Wiegemann, and K. Winkler, J. Phys. B 12, 3873 (1979).
[CrossRef]

1947 (1)

T. Hollstein, Phys. Rev. 72, 1212 (1947).
[CrossRef]

1933 (1)

This was first recognized by Breit in his explanation of the Hanle effect: G. Breit, Rev. Mod. Phys. 5, 91 (1933).
[CrossRef]

Agarwal, G. S.

G. S. Agarwal, P. A. Lakshmi, J. P. Connerade, and S. West, J. Phys. B 30, 5971 (1997).
[CrossRef]

Alexandrov, E. B.

E. B. Alexandrov, M. V. Balabas, A. S. Pasgalev, A. K. Vershovskii, and N. N. Yakobson, Laser Phys. 6, 244 (1996).

E. B. Alexandrov and V. A. Bonch-Bruevich, Opt. Eng. 31, 711 (1992).
[CrossRef]

Alzetta, G.

Y. Dancheva, G. Alzetta, S. Cartaleva, M. Taslakov, and C. Andreeva, Opt. Commun. 178, 103 (2000).
[CrossRef]

Andreeva, C.

Y. Dancheva, G. Alzetta, S. Cartaleva, M. Taslakov, and C. Andreeva, Opt. Commun. 178, 103 (2000).
[CrossRef]

Arimondo, E.

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, Phys. Rev. A 55, 3710 (1997).
[CrossRef]

Balabas, M. V.

E. B. Alexandrov, M. V. Balabas, A. S. Pasgalev, A. K. Vershovskii, and N. N. Yakobson, Laser Phys. 6, 244 (1996).

Bednar, C. J.

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

Bonch-Bruevich, V. A.

E. B. Alexandrov and V. A. Bonch-Bruevich, Opt. Eng. 31, 711 (1992).
[CrossRef]

Breit, G.

This was first recognized by Breit in his explanation of the Hanle effect: G. Breit, Rev. Mod. Phys. 5, 91 (1933).
[CrossRef]

Budker, D.

D. Budker, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and M. Zolotorev, Phys. Rev. A 62, 043403 (2000).
[CrossRef]

D. Budker, D. J. Orlando, and V. Yashchuk, Am. J. Phys. 67, 584 (1999).
[CrossRef]

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

D. Budker, V. Yashchuk, and M. Zolotorev, Phys. Rev. Lett. 81, 5788 (1998).
[CrossRef]

Cartaleva, S.

Y. Dancheva, G. Alzetta, S. Cartaleva, M. Taslakov, and C. Andreeva, Opt. Commun. 178, 103 (2000).
[CrossRef]

Connerade, J. P.

G. S. Agarwal, P. A. Lakshmi, J. P. Connerade, and S. West, J. Phys. B 30, 5971 (1997).
[CrossRef]

Dancheva, Y.

Y. Dancheva, G. Alzetta, S. Cartaleva, M. Taslakov, and C. Andreeva, Opt. Commun. 178, 103 (2000).
[CrossRef]

Fleischhauer, M.

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

M. Fleischhauer, A. B. Matsko, and M. O. Scully, Phys. Rev. A 62, 013808 (2000).
[CrossRef]

H. Lee, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 58, 2587 (1998).
[CrossRef]

Gawlik, W.

W. Gawlik, J. Kowalski, R. Neumann, H. B. Wiegemann, and K. Winkler, J. Phys. B 12, 3873 (1979).
[CrossRef]

W. Gawlik, in Modern Nonlinear Optics, M. Evans and S. Kielich, eds., Vol. LXXXV of Advances in Chemical Physics Series (Wiley, New York, 1994), Part 3, p. 733.

Harris, S. E.

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

Hollberg, L.

A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
[CrossRef] [PubMed]

Hollstein, T.

T. Hollstein, Phys. Rev. 72, 1212 (1947).
[CrossRef]

Kimball, D. F.

D. Budker, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and M. Zolotorev, Phys. Rev. A 62, 043403 (2000).
[CrossRef]

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

Kowalski, J.

W. Gawlik, J. Kowalski, R. Neumann, H. B. Wiegemann, and K. Winkler, J. Phys. B 12, 3873 (1979).
[CrossRef]

Lakshmi, P. A.

G. S. Agarwal, P. A. Lakshmi, J. P. Connerade, and S. West, J. Phys. B 30, 5971 (1997).
[CrossRef]

Lee, H.

H. Lee, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 58, 2587 (1998).
[CrossRef]

Lukin, M. D.

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
[CrossRef] [PubMed]

Maichen, W.

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, Phys. Rev. A 55, 3710 (1997).
[CrossRef]

Matsko, A. B.

M. Fleischhauer, A. B. Matsko, and M. O. Scully, Phys. Rev. A 62, 013808 (2000).
[CrossRef]

I. Novikova, A. B. Matsko, V. A. Sautenkov, V. L. Velichansky, G. R. Welch, and M. O. Scully, Opt. Lett. 25, 1651 (2000).
[CrossRef]

A. B. Matsko, I. Novikova, M. O. Scully, and G. R. Welch, “Radiation trapping in coherent media,” February1, 2001, arXiv.org e-Print archive, Preprint quart-ph/0101147, http://xxx.lanl.gov . Submitted to Phys. Rev. Lett.
[CrossRef] [PubMed]

Mikhailov, E.

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

Molisch, A. F.

A. F. Molisch and B. P. Oehry, Radiation Trapping in Atomic Vapours (Clarendon, Oxford, 1998).

Neumann, R.

W. Gawlik, J. Kowalski, R. Neumann, H. B. Wiegemann, and K. Winkler, J. Phys. B 12, 3873 (1979).
[CrossRef]

Nikonov, D. E.

A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
[CrossRef] [PubMed]

Novikova, I.

I. Novikova, A. B. Matsko, V. A. Sautenkov, V. L. Velichansky, G. R. Welch, and M. O. Scully, Opt. Lett. 25, 1651 (2000).
[CrossRef]

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

A. B. Matsko, I. Novikova, M. O. Scully, and G. R. Welch, “Radiation trapping in coherent media,” February1, 2001, arXiv.org e-Print archive, Preprint quart-ph/0101147, http://xxx.lanl.gov . Submitted to Phys. Rev. Lett.
[CrossRef] [PubMed]

Oehry, B. P.

A. F. Molisch and B. P. Oehry, Radiation Trapping in Atomic Vapours (Clarendon, Oxford, 1998).

Orlando, D. J.

D. Budker, D. J. Orlando, and V. Yashchuk, Am. J. Phys. 67, 584 (1999).
[CrossRef]

Pasgalev, A. S.

E. B. Alexandrov, M. V. Balabas, A. S. Pasgalev, A. K. Vershovskii, and N. N. Yakobson, Laser Phys. 6, 244 (1996).

Renzoni, F.

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, Phys. Rev. A 55, 3710 (1997).
[CrossRef]

Robinson, H. G.

A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
[CrossRef] [PubMed]

Rochester, S. M.

D. Budker, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and M. Zolotorev, Phys. Rev. A 62, 043403 (2000).
[CrossRef]

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

Sautenkov, V. A.

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

I. Novikova, A. B. Matsko, V. A. Sautenkov, V. L. Velichansky, G. R. Welch, and M. O. Scully, Opt. Lett. 25, 1651 (2000).
[CrossRef]

Schuller, F.

F. Schuller and D. N. Stacey, Phys. Rev. A 60, 973 (1999).
[CrossRef]

Scully, M. O.

M. Fleischhauer, A. B. Matsko, and M. O. Scully, Phys. Rev. A 62, 013808 (2000).
[CrossRef]

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

I. Novikova, A. B. Matsko, V. A. Sautenkov, V. L. Velichansky, G. R. Welch, and M. O. Scully, Opt. Lett. 25, 1651 (2000).
[CrossRef]

H. Lee, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 58, 2587 (1998).
[CrossRef]

A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
[CrossRef] [PubMed]

A. B. Matsko, I. Novikova, M. O. Scully, and G. R. Welch, “Radiation trapping in coherent media,” February1, 2001, arXiv.org e-Print archive, Preprint quart-ph/0101147, http://xxx.lanl.gov . Submitted to Phys. Rev. Lett.
[CrossRef] [PubMed]

Stacey, D. N.

F. Schuller and D. N. Stacey, Phys. Rev. A 60, 973 (1999).
[CrossRef]

Taslakov, M.

Y. Dancheva, G. Alzetta, S. Cartaleva, M. Taslakov, and C. Andreeva, Opt. Commun. 178, 103 (2000).
[CrossRef]

Velichansky, V. L.

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

I. Novikova, A. B. Matsko, V. A. Sautenkov, V. L. Velichansky, G. R. Welch, and M. O. Scully, Opt. Lett. 25, 1651 (2000).
[CrossRef]

A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
[CrossRef] [PubMed]

Vershovskii, A. K.

E. B. Alexandrov, M. V. Balabas, A. S. Pasgalev, A. K. Vershovskii, and N. N. Yakobson, Laser Phys. 6, 244 (1996).

Welch, G. R.

I. Novikova, A. B. Matsko, V. A. Sautenkov, V. L. Velichansky, G. R. Welch, and M. O. Scully, Opt. Lett. 25, 1651 (2000).
[CrossRef]

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

A. B. Matsko, I. Novikova, M. O. Scully, and G. R. Welch, “Radiation trapping in coherent media,” February1, 2001, arXiv.org e-Print archive, Preprint quart-ph/0101147, http://xxx.lanl.gov . Submitted to Phys. Rev. Lett.
[CrossRef] [PubMed]

West, S.

G. S. Agarwal, P. A. Lakshmi, J. P. Connerade, and S. West, J. Phys. B 30, 5971 (1997).
[CrossRef]

Wiegemann, H. B.

W. Gawlik, J. Kowalski, R. Neumann, H. B. Wiegemann, and K. Winkler, J. Phys. B 12, 3873 (1979).
[CrossRef]

Windholz, L.

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, Phys. Rev. A 55, 3710 (1997).
[CrossRef]

Winkler, K.

W. Gawlik, J. Kowalski, R. Neumann, H. B. Wiegemann, and K. Winkler, J. Phys. B 12, 3873 (1979).
[CrossRef]

Yakobson, N. N.

E. B. Alexandrov, M. V. Balabas, A. S. Pasgalev, A. K. Vershovskii, and N. N. Yakobson, Laser Phys. 6, 244 (1996).

Yashchuk, V.

D. Budker, D. J. Orlando, and V. Yashchuk, Am. J. Phys. 67, 584 (1999).
[CrossRef]

D. Budker, V. Yashchuk, and M. Zolotorev, Phys. Rev. Lett. 81, 5788 (1998).
[CrossRef]

Yashchuk, V. V.

D. Budker, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and M. Zolotorev, Phys. Rev. A 62, 043403 (2000).
[CrossRef]

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

Zibrov, A. S.

A. S. Zibrov, M. D. Lukin, L. Hollberg, D. E. Nikonov, M. O. Scully, H. G. Robinson, and V. L. Velichansky, Phys. Rev. Lett. 76, 3935 (1996).
[CrossRef] [PubMed]

Zolotorev, M.

D. Budker, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and M. Zolotorev, Phys. Rev. A 62, 043403 (2000).
[CrossRef]

D. Budker, V. Yashchuk, and M. Zolotorev, Phys. Rev. Lett. 81, 5788 (1998).
[CrossRef]

Am. J. Phys. (1)

D. Budker, D. J. Orlando, and V. Yashchuk, Am. J. Phys. 67, 584 (1999).
[CrossRef]

J. Phys. B (2)

W. Gawlik, J. Kowalski, R. Neumann, H. B. Wiegemann, and K. Winkler, J. Phys. B 12, 3873 (1979).
[CrossRef]

G. S. Agarwal, P. A. Lakshmi, J. P. Connerade, and S. West, J. Phys. B 30, 5971 (1997).
[CrossRef]

Laser Phys. (1)

E. B. Alexandrov, M. V. Balabas, A. S. Pasgalev, A. K. Vershovskii, and N. N. Yakobson, Laser Phys. 6, 244 (1996).

Opt. Commun. (1)

Y. Dancheva, G. Alzetta, S. Cartaleva, M. Taslakov, and C. Andreeva, Opt. Commun. 178, 103 (2000).
[CrossRef]

Opt. Eng. (1)

E. B. Alexandrov and V. A. Bonch-Bruevich, Opt. Eng. 31, 711 (1992).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. (1)

T. Hollstein, Phys. Rev. 72, 1212 (1947).
[CrossRef]

Phys. Rev. A (6)

H. Lee, M. Fleischhauer, and M. O. Scully, Phys. Rev. A 58, 2587 (1998).
[CrossRef]

F. Schuller and D. N. Stacey, Phys. Rev. A 60, 973 (1999).
[CrossRef]

D. Budker, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and M. Zolotorev, Phys. Rev. A 62, 043403 (2000).
[CrossRef]

M. Fleischhauer, A. B. Matsko, and M. O. Scully, Phys. Rev. A 62, 013808 (2000).
[CrossRef]

V. A. Sautenkov, M. D. Lukin, C. J. Bednar, I. Novikova, E. Mikhailov, M. Fleischhauer, V. L. Velichansky, G. R. Welch, and M. O. Scully, Phys. Rev. A 62, 023810 (2000).
[CrossRef]

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, Phys. Rev. A 55, 3710 (1997).
[CrossRef]

Phys. Rev. Lett. (3)

D. Budker, V. Yashchuk, and M. Zolotorev, Phys. Rev. Lett. 81, 5788 (1998).
[CrossRef]

D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, Phys. Rev. Lett. 83, 1767 (1999).
[CrossRef]

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[CrossRef] [PubMed]

Phys. Today (1)

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[CrossRef]

Rev. Mod. Phys. (1)

This was first recognized by Breit in his explanation of the Hanle effect: G. Breit, Rev. Mod. Phys. 5, 91 (1933).
[CrossRef]

Other (3)

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[CrossRef] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

Diagram showing the experimental setup.

Fig. 2
Fig. 2

Dependence of the polarization rotation angle on laser frequency (zero detuning corresponds to the transition F=2F=1). Applied magnetic field B=0.5 G, atomic density N=4.5×1012 cm-3. Inset, level scheme of the D1 line of 87Rb.

Fig. 3
Fig. 3

Experimental dependence of the maximum rotation angle of polarization on atomic density. The dashed curve is a guide for the eye. Inset, experimental dependence of the polarization rotation angle on magnetic field for atomic density N=4.5×1012 cm-3.

Fig. 4
Fig. 4

Experimental dependence of rotation slope dϕ/dB for B=0 on atomic density (filled circles). The solid curve is the theoretical data when the radiation trapping is taken into account as described in Ref.  19; dotted line shows the prediction of the theory developed in Ref.  7.

Fig. 5
Fig. 5

Experimental dependence of the transmission through the cell on atomic density (filled circles) for B=0. The dotted curve is a guide for the eyes.

Equations (1)

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δ0SQL=fγrΔ038πλ2Aγ0tm1/2,

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