Abstract

We suggest a way in which entangled photons produced by a type II downconverter can be used for magneto-optical spectroscopy with district advantages. Both collinear and noncollinear geometries can be used. We present quantum mechanical results for the coincidence detection of different polarizations at the output.

© 2003 Optical Society of America

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References

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  1. L. Mandel and E. Wolf, Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chaps. 12 and 22.
    [CrossRef]
  2. A. Zeilinger, Rev. Mod. Phys. 71, 5288 (1999).
    [CrossRef]
  3. P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
    [CrossRef]
  4. A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
    [CrossRef] [PubMed]
  5. G. S. Agarwal, R. Boyd, E. Nagasako, and S. J. Bentley, Phys. Rev. Lett. 86, 1389 (2001).
    [CrossRef]
  6. G. Björk, L. L. Sanchez-Soto, and J. Söderholm, Phys. Ref. Lett. 86, 4516 (2001).
    [CrossRef]
  7. M. D’Angelo, M. Chekhova, and Y. Shih, Phys. Rev. Lett. 87, 013602 (2001).
    [CrossRef]
  8. T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
    [CrossRef]
  9. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 87, 123602 (2001).
    [CrossRef]
  10. A. F. Abouraddy, K. C. Toussaint, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, J. Opt. Soc. Am. B 19, 656 (2002).
    [CrossRef]
  11. M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
    [CrossRef] [PubMed]
  12. A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
    [CrossRef]
  13. J.-P. Connerade, Highly Excited Atoms (Cambridge U. Press, Cambridge, 1998), Chap. IV.
    [CrossRef]
  14. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), Sec. 9.10.
    [CrossRef]

2002 (2)

A. F. Abouraddy, K. C. Toussaint, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, J. Opt. Soc. Am. B 19, 656 (2002).
[CrossRef]

A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
[CrossRef]

2001 (4)

G. S. Agarwal, R. Boyd, E. Nagasako, and S. J. Bentley, Phys. Rev. Lett. 86, 1389 (2001).
[CrossRef]

G. Björk, L. L. Sanchez-Soto, and J. Söderholm, Phys. Ref. Lett. 86, 4516 (2001).
[CrossRef]

M. D’Angelo, M. Chekhova, and Y. Shih, Phys. Rev. Lett. 87, 013602 (2001).
[CrossRef]

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 87, 123602 (2001).
[CrossRef]

2000 (1)

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
[CrossRef] [PubMed]

1999 (1)

A. Zeilinger, Rev. Mod. Phys. 71, 5288 (1999).
[CrossRef]

1995 (2)

P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

1994 (1)

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Abouraddy, A. F.

A. F. Abouraddy, K. C. Toussaint, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, J. Opt. Soc. Am. B 19, 656 (2002).
[CrossRef]

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 87, 123602 (2001).
[CrossRef]

Abrams, D. S.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
[CrossRef] [PubMed]

Agarwal, G. S.

G. S. Agarwal, R. Boyd, E. Nagasako, and S. J. Bentley, Phys. Rev. Lett. 86, 1389 (2001).
[CrossRef]

Bentley, S. J.

G. S. Agarwal, R. Boyd, E. Nagasako, and S. J. Bentley, Phys. Rev. Lett. 86, 1389 (2001).
[CrossRef]

Björk, G.

G. Björk, L. L. Sanchez-Soto, and J. Söderholm, Phys. Ref. Lett. 86, 4516 (2001).
[CrossRef]

Boto, A. N.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
[CrossRef] [PubMed]

Boyd, R.

G. S. Agarwal, R. Boyd, E. Nagasako, and S. J. Bentley, Phys. Rev. Lett. 86, 1389 (2001).
[CrossRef]

Braunstein, S. L.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
[CrossRef] [PubMed]

Budker, D.

A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
[CrossRef]

Chekhova, M.

M. D’Angelo, M. Chekhova, and Y. Shih, Phys. Rev. Lett. 87, 013602 (2001).
[CrossRef]

Connerade, J.-P.

J.-P. Connerade, Highly Excited Atoms (Cambridge U. Press, Cambridge, 1998), Chap. IV.
[CrossRef]

D’Angelo, M.

M. D’Angelo, M. Chekhova, and Y. Shih, Phys. Rev. Lett. 87, 013602 (2001).
[CrossRef]

Dowling, J. P.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
[CrossRef] [PubMed]

Kimball, D. F.

A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
[CrossRef]

Klyshko, D. N.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Kok, P.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
[CrossRef] [PubMed]

Kwait, P. G.

P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Mandel, L.

L. Mandel and E. Wolf, Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chaps. 12 and 22.
[CrossRef]

Matsko, A. B.

A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
[CrossRef]

Mattle, K.

P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Nagasako, E.

G. S. Agarwal, R. Boyd, E. Nagasako, and S. J. Bentley, Phys. Rev. Lett. 86, 1389 (2001).
[CrossRef]

Novikova, I.

A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
[CrossRef]

Pittman, T. B.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Rochester, S. M.

A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
[CrossRef]

Rubin, M. H.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Saleh, B. E. A.

A. F. Abouraddy, K. C. Toussaint, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, J. Opt. Soc. Am. B 19, 656 (2002).
[CrossRef]

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 87, 123602 (2001).
[CrossRef]

Sanchez-Soto, L. L.

G. Björk, L. L. Sanchez-Soto, and J. Söderholm, Phys. Ref. Lett. 86, 4516 (2001).
[CrossRef]

Scully, M. O.

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), Sec. 9.10.
[CrossRef]

Sergienko, A. V.

A. F. Abouraddy, K. C. Toussaint, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, J. Opt. Soc. Am. B 19, 656 (2002).
[CrossRef]

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 87, 123602 (2001).
[CrossRef]

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Shih, Y.

M. D’Angelo, M. Chekhova, and Y. Shih, Phys. Rev. Lett. 87, 013602 (2001).
[CrossRef]

P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Shih, Y. H.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Söderholm, J.

G. Björk, L. L. Sanchez-Soto, and J. Söderholm, Phys. Ref. Lett. 86, 4516 (2001).
[CrossRef]

Strekalov, D. V.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Teich, M. C.

A. F. Abouraddy, K. C. Toussaint, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, J. Opt. Soc. Am. B 19, 656 (2002).
[CrossRef]

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 87, 123602 (2001).
[CrossRef]

Toussaint, K. C.

Weinfurter, H.

P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Welch, G. R.

A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
[CrossRef]

Williams, C. P.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
[CrossRef] [PubMed]

Wolf, E.

L. Mandel and E. Wolf, Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chaps. 12 and 22.
[CrossRef]

Zeilinger, A.

A. Zeilinger, Rev. Mod. Phys. 71, 5288 (1999).
[CrossRef]

P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Zubairy, M. S.

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), Sec. 9.10.
[CrossRef]

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

Phys. Ref. Lett. (1)

G. Björk, L. L. Sanchez-Soto, and J. Söderholm, Phys. Ref. Lett. 86, 4516 (2001).
[CrossRef]

Phys. Rev. A (3)

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

A. B. Matsko, I. Novikova, G. R. Welch, D. Budker, D. F. Kimball, and S. M. Rochester, Phys. Rev. A 66, 043815 (2002).
[CrossRef]

Phys. Rev. Lett. (5)

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 87, 123602 (2001).
[CrossRef]

M. D’Angelo, M. Chekhova, and Y. Shih, Phys. Rev. Lett. 87, 013602 (2001).
[CrossRef]

P. G. Kwait, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
[CrossRef] [PubMed]

G. S. Agarwal, R. Boyd, E. Nagasako, and S. J. Bentley, Phys. Rev. Lett. 86, 1389 (2001).
[CrossRef]

Rev. Mod. Phys. (1)

A. Zeilinger, Rev. Mod. Phys. 71, 5288 (1999).
[CrossRef]

Other (3)

L. Mandel and E. Wolf, Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chaps. 12 and 22.
[CrossRef]

J.-P. Connerade, Highly Excited Atoms (Cambridge U. Press, Cambridge, 1998), Chap. IV.
[CrossRef]

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), Sec. 9.10.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Setup for magneto-optical spectroscopy with collinear output from a downconverter. PBS, polarizing beam splitter.

Fig. 2
Fig. 2

Setup for magneto-optical spectroscopy with noncollinear output from the downconverter. Each detector is accompanied by its own polarization filter.

Equations (21)

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

|Ψnc=12(|x,y+|y,x),
|Ψc=|x,y.
Ez,texp-iωt+ikzxˆεx+yˆεy+c.c.exp-iωt+ikzˆ+ε++ˆ-ε-+c.c.,
ˆ±=xˆ±iyˆ/2,    ε±εxiεy/2.
El,texp-iωt+iklˆ+expiklχ+ε++ˆ-expiklχ-ε-+c.c.,
El,texp-iωt+iklxˆεxl+yˆεyl+c.c.
εxlεyl=Rεxεy,
R=12α++α--iα+-α-iα+-α-α++α-,α±=expiklχ±.
Iyl/Ix=expiχ+kl-expiχ-kl2,
Iyl/Ix=sin212χ+-χ-kl.
axlayl=Raxay+F,
Ix=axlaxl,  Iy=aylayl,Ixy=axlaylaxlayl.
Ixy=R11R22+R12R212=12exp2iχ+kl+exp2iχ-kl2,Ix=Iy=12expiχ+kl2+expiχ-kl2.
ΔIxy1-12exp2iχ+kl+exp2iχ-kl2,
ΔIxysin2χ+-χ-kl.
Ixx=axlaxlaxlaxl=4R112R122,=exp2iχ+kl-exp2iχ-kl2,
Ixx=4 sin2χ+-χ-kl.
I12=AA,A1xaxl+1yayl2xbx+2yby.
I12=2y1xR11+1yR21+2x1xR12+1yR222.
Ixx=Iyy=12expiχ+kl-expiχ-kl2, Ixy=Iyx=12expiχ+kl+expiχ-kl2.
Ixx=Iyy=0,    Ixy=Iyx=1.

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