Abstract

We report an experimental demonstration that shows that the spatial structure carried by engineered coherent superpositions of light beams with orbital angular momentum can be mapped into the nonlinear polarization induced in a cloud of cold cesium atoms. The structure of such polarization was revealed by nearly degenerate four-wave-mixing processes.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. Allen, M. W. Beijersbergen, R. J. C. Spreuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
    [CrossRef] [PubMed]
  2. H. He, M. E. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 76, 826 (1995).
    [CrossRef]
  3. N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
    [CrossRef] [PubMed]
  4. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbet, P. E. Bryant, and K. Dholakia, Science 292, 912 (2002).
    [CrossRef]
  5. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
    [CrossRef] [PubMed]
  6. G. Molina-Terriza, J. P. Torres, and L. Torner, Phys. Rev. Lett. 88, 013601 (2002).
    [CrossRef]
  7. S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, Phys. Rev. A 65, 033823 (2002).
    [CrossRef]
  8. A. Vaziri, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 89, 240401 (2002).
    [CrossRef]
  9. E. Santamato, A. Sasso, B. Piccirillo, and A. Vella, Opt. Express 10, 871 (2002), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  10. J. P. Torres, Y. Deyanova, L. Torner, and G. Molina-Terriza, Phys. Rev. A 67, 052313 (2003).
    [CrossRef]
  11. D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Express 11, 158 (2003), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  12. P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
    [CrossRef]
  13. J. W. R. Tabosa and D. V. Petrov, Phys. Rev. Lett. 83, 4967 (1999).
    [CrossRef]
  14. S. Barreiro and J. W. R. Tabosa, Phys. Rev. Lett. 90, 133001 (2003).
    [CrossRef]
  15. D. Akamatsu and M. Kozuma, Phys. Rev. A 67, 023803 (2003).
    [CrossRef]
  16. C. Liu, Z. D. C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
    [CrossRef] [PubMed]
  17. D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
    [CrossRef] [PubMed]
  18. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995).
  19. G. P. Agrawal and R. W. Boyd, eds., Contemporary Nonlinear Optics (Academic, San Diego, Calif., 1992).
  20. V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabibis, Opt. Commun. 198, 459 (2001).
    [CrossRef]
  21. I. V. Basistiy, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
    [CrossRef]

2003 (4)

J. P. Torres, Y. Deyanova, L. Torner, and G. Molina-Terriza, Phys. Rev. A 67, 052313 (2003).
[CrossRef]

S. Barreiro and J. W. R. Tabosa, Phys. Rev. Lett. 90, 133001 (2003).
[CrossRef]

D. Akamatsu and M. Kozuma, Phys. Rev. A 67, 023803 (2003).
[CrossRef]

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Express 11, 158 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

2002 (6)

E. Santamato, A. Sasso, B. Piccirillo, and A. Vella, Opt. Express 10, 871 (2002), http://www.opticsexpress.org .
[CrossRef] [PubMed]

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbet, P. E. Bryant, and K. Dholakia, Science 292, 912 (2002).
[CrossRef]

G. Molina-Terriza, J. P. Torres, and L. Torner, Phys. Rev. Lett. 88, 013601 (2002).
[CrossRef]

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, Phys. Rev. A 65, 033823 (2002).
[CrossRef]

A. Vaziri, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 89, 240401 (2002).
[CrossRef]

2001 (4)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

C. Liu, Z. D. C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabibis, Opt. Commun. 198, 459 (2001).
[CrossRef]

1999 (1)

J. W. R. Tabosa and D. V. Petrov, Phys. Rev. Lett. 83, 4967 (1999).
[CrossRef]

1997 (1)

1995 (2)

H. He, M. E. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 76, 826 (1995).
[CrossRef]

I. V. Basistiy, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

1992 (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995).

Akamatsu, D.

D. Akamatsu and M. Kozuma, Phys. Rev. A 67, 023803 (2003).
[CrossRef]

Allen, L.

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, Phys. Rev. A 65, 033823 (2002).
[CrossRef]

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
[CrossRef] [PubMed]

L. Allen, M. W. Beijersbergen, R. J. C. Spreuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Arlt, J.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbet, P. E. Bryant, and K. Dholakia, Science 292, 912 (2002).
[CrossRef]

Barnett, S. M.

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, Phys. Rev. A 65, 033823 (2002).
[CrossRef]

Barreiro, S.

S. Barreiro and J. W. R. Tabosa, Phys. Rev. Lett. 90, 133001 (2003).
[CrossRef]

Basistiy, I. V.

I. V. Basistiy, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

Behroozi, Z. D. C. H.

C. Liu, Z. D. C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Bryant, P. E.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbet, P. E. Bryant, and K. Dholakia, Science 292, 912 (2002).
[CrossRef]

Deyanova, Y.

J. P. Torres, Y. Deyanova, L. Torner, and G. Molina-Terriza, Phys. Rev. A 67, 052313 (2003).
[CrossRef]

Dholakia, K.

Fischer, T.

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Franke-Arnold, S.

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, Phys. Rev. A 65, 033823 (2002).
[CrossRef]

Friese, M. E.

H. He, M. E. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 76, 826 (1995).
[CrossRef]

Hau, L. V.

C. Liu, Z. D. C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

He, H.

H. He, M. E. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 76, 826 (1995).
[CrossRef]

Heckenberg, N. R.

H. He, M. E. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 76, 826 (1995).
[CrossRef]

Horak, P.

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

Kozuma, M.

D. Akamatsu and M. Kozuma, Phys. Rev. A 67, 023803 (2003).
[CrossRef]

Liu, C.

C. Liu, Z. D. C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Lukin, M. D.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

MacDonald, M. P.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbet, P. E. Bryant, and K. Dholakia, Science 292, 912 (2002).
[CrossRef]

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Maunz, P.

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

McGloin, D.

Melville, H.

Molina-Terriza, G.

J. P. Torres, Y. Deyanova, L. Torner, and G. Molina-Terriza, Phys. Rev. A 67, 052313 (2003).
[CrossRef]

G. Molina-Terriza, J. P. Torres, and L. Torner, Phys. Rev. Lett. 88, 013601 (2002).
[CrossRef]

Padgett, M. J.

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, Phys. Rev. A 65, 033823 (2002).
[CrossRef]

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
[CrossRef] [PubMed]

Paterson, L.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbet, P. E. Bryant, and K. Dholakia, Science 292, 912 (2002).
[CrossRef]

Petrov, D. V.

J. W. R. Tabosa and D. V. Petrov, Phys. Rev. Lett. 83, 4967 (1999).
[CrossRef]

Phillips, D. F.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Piccirillo, B.

Pinkse, P. W. H.

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

Puppe, T.

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

Pyragaite, V.

V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabibis, Opt. Commun. 198, 459 (2001).
[CrossRef]

Regelskis, K.

V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabibis, Opt. Commun. 198, 459 (2001).
[CrossRef]

Rempe, G.

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

Ritsch, H.

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

Rubinsztein-Dunlop, H.

H. He, M. E. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 76, 826 (1995).
[CrossRef]

Santamato, E.

Sasso, A.

Sibbet, W.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbet, P. E. Bryant, and K. Dholakia, Science 292, 912 (2002).
[CrossRef]

Sibbett, W.

Simpson, N. B.

Smilgevicius, V.

V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabibis, Opt. Commun. 198, 459 (2001).
[CrossRef]

Soskin, M. S.

I. V. Basistiy, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

Spalding, G. C.

Spreuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Stabibis, A.

V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabibis, Opt. Commun. 198, 459 (2001).
[CrossRef]

Tabosa, J. W. R.

S. Barreiro and J. W. R. Tabosa, Phys. Rev. Lett. 90, 133001 (2003).
[CrossRef]

J. W. R. Tabosa and D. V. Petrov, Phys. Rev. Lett. 83, 4967 (1999).
[CrossRef]

Torner, L.

J. P. Torres, Y. Deyanova, L. Torner, and G. Molina-Terriza, Phys. Rev. A 67, 052313 (2003).
[CrossRef]

G. Molina-Terriza, J. P. Torres, and L. Torner, Phys. Rev. Lett. 88, 013601 (2002).
[CrossRef]

Torres, J. P.

J. P. Torres, Y. Deyanova, L. Torner, and G. Molina-Terriza, Phys. Rev. A 67, 052313 (2003).
[CrossRef]

G. Molina-Terriza, J. P. Torres, and L. Torner, Phys. Rev. Lett. 88, 013601 (2002).
[CrossRef]

Vasnetsov, M. V.

I. V. Basistiy, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

Vaziri, A.

A. Vaziri, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 89, 240401 (2002).
[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Vella, A.

Walsworth, R. L.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Weihs, G.

A. Vaziri, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 89, 240401 (2002).
[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Zeilinger, A.

A. Vaziri, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 89, 240401 (2002).
[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Nature (2)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

C. Liu, Z. D. C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Opt. Commun. (2)

V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabibis, Opt. Commun. 198, 459 (2001).
[CrossRef]

I. V. Basistiy, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. A (4)

L. Allen, M. W. Beijersbergen, R. J. C. Spreuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

D. Akamatsu and M. Kozuma, Phys. Rev. A 67, 023803 (2003).
[CrossRef]

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, Phys. Rev. A 65, 033823 (2002).
[CrossRef]

J. P. Torres, Y. Deyanova, L. Torner, and G. Molina-Terriza, Phys. Rev. A 67, 052313 (2003).
[CrossRef]

Phys. Rev. Lett. (7)

P. Horak, H. Ritsch, T. Fischer, P. Maunz, T. Puppe, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 88, 043601 (2002).
[CrossRef]

J. W. R. Tabosa and D. V. Petrov, Phys. Rev. Lett. 83, 4967 (1999).
[CrossRef]

S. Barreiro and J. W. R. Tabosa, Phys. Rev. Lett. 90, 133001 (2003).
[CrossRef]

A. Vaziri, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 89, 240401 (2002).
[CrossRef]

G. Molina-Terriza, J. P. Torres, and L. Torner, Phys. Rev. Lett. 88, 013601 (2002).
[CrossRef]

H. He, M. E. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 76, 826 (1995).
[CrossRef]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Science (1)

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbet, P. E. Bryant, and K. Dholakia, Science 292, 912 (2002).
[CrossRef]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995).

G. P. Agrawal and R. W. Boyd, eds., Contemporary Nonlinear Optics (Academic, San Diego, Calif., 1992).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Normalized spatial light distribution obtained for a noncollinear superposition of LG beams. (a) Superposition of two LG modes with l=0,p=0 and l=1,p=0, with A0=A1, θ0=0, θ1=0.15 mrad. (b) Superposition of two LG modes with l=0,p=0, l=1,p=0, and l=2,p=0, with A0=A1=A2, θ0=0 mrad, θ1=θ2=0.15 mrad. In all cases the beam width of the Gaussian beam (l=0) is w0=20 mm and the radius of curvature is R0=5×104 m. For all beams with l0 the beam width is wl=10 mm and Rl=1×109. All distances are in millimeters.

Fig. 2
Fig. 2

Experimental setup: OI, optical isolator; BS1–BS7, beam splitters; M1–M7, mirrors; L1–L3, lenses; MOT, magneto-optic trap; λ/2, half-wave plate; D, detector; LD, laser diode. Other terms defined in text. Inset, double Mach–Zehnder interferometer to generate different superpositions of LG modes.

Fig. 3
Fig. 3

(a) Incident light spatial distribution pattern corresponding to the noncollinear superposition of two LG beams with l=1 and l=2. (b) Spatial profile of the generated superposition corresponding to the beam observed in (a). (c) Incident light spatial distribution pattern corresponding to the noncollinear superposition of three LG beams with l=0, l=1, and l=2. (d) Spatial profile of the generated superposition corresponding to the incident beam described in (c). The presented images are obtained by subtracting from the corresponding image the dark image, recorded when the injection of the diode laser is blocked, where no coherent signal is observed.

Equations (1)

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

Cpl=n=1NAndxdyu0nx,y,z=0uplx,y,z=0*×expikθnx.

Metrics