Abstract

We use spatial light modulators to observe the quantum entanglement of down-converted photon pairs. Acting as diffractive optical elements within one of the beams, they can be reconfigured in real time to set the spatial profile of the measured mode. Such configurations are highly applicable to the measurement of orbital angular momentum states or other spatial modes, such as those associated with quantum imaging.

© 2006 Optical Society of America

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  1. A. Aspect, J. Dalibard, and G Roger, “Experimental test of Bell inequalities using time-varying analysers,” Phys. Rev. Lett. 49, 1804–1807 (1982).
    [Crossref]
  2. L. Mandel and E. Wolf, “Coherence and Quantum Optics” (Cambridge University Press, Cambridge, 1995).
  3. D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y.H. Shih, “Observation of 2-photon ghost interference and diffraction,” Phys. Rev. Lett. 74, 3600–3603 (1995).
    [Crossref] [PubMed]
  4. J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen Paradox Using Momentum- and Position-Entangled Photons from Spontaneous Parametric Down Conversion” Phys. Rev. Lett. 92, 210403 (2004).
    [Crossref] [PubMed]
  5. L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
    [Crossref]
  6. L. Allen, S. M. Barnett, and M. J. Padgett “Optical Angular Momentum” (Institute of Physics Publishing, Bristol, 2003).
  7. A. Mair, A Vaziri, G Weihs, and A. Zeilinger “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
    [Crossref] [PubMed]
  8. J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
    [Crossref] [PubMed]
  9. M. A. Golub, E. L. Kaganov, A. A. Kondorov, V. A. Soifer, and G. V. Usplen’ev, “Experimental investigation of a multibeam holographic optical element matched to Gauss-Laguerre modes,” Kvantovaya Electronika 23, 188–190 (1996).
  10. G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12, 5448–5456 (2004).
    [Crossref] [PubMed]
  11. Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
    [Crossref]
  12. J. Leach, M. Dennis, J. Courtial, and M. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).
    [Crossref] [PubMed]
  13. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, Vortex knots in light”, New J. Phys. 7, 55.1–55.11 (2005).
    [Crossref]
  14. V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429–431 (1990).
  15. S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, “Two-photon entanglement of orbital angular momentum states,” Phys. Rev. A 65, 033823 (2002).
    [Crossref]
  16. A. Vaziri, G. Weihs, and A. Zeilinger, “Superpositions of the orbital angular momentum for applications in quantum experiments,” J. Opt. B: Quantum Semiclass. Opt. 4S47–S51 (2002).
    [Crossref]
  17. M. Padgett, J. Courtial, L. Allen, S. Franke-Arnold, and S. M. Barnett, “Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion,” J. Mod. Opt. 49, 777–785 (2002).
    [Crossref]
  18. A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication,” Phys. Rev. Lett. 89, 240401 (2002).
    [Crossref] [PubMed]
  19. R. Ghosh, C. K. Hong, Z. Y. Ou, and L. Mandel, “Interference of two photons in parametric down conversion,” Phys. Rev. A 34, 3962–3968 (1986).
    [Crossref] [PubMed]
  20. S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
    [Crossref]
  21. D. T. Pegg, S. M. Barnett, R. Zambrini, S. Franke-Arnold, and M. Padgett, “Minimum uncertainty states of angular momentum and angular position” New J. Phys. 7, 62.1–62.20 (2005).
    [Crossref]
  22. J. B. Götte, S. Franke-Arnold, and S. M. Barnett “Angular EPR paradox” J. Mod. Opt. 53, 627–645 (2006).
    [Crossref]
  23. S. M. Barnett and R. Zambrini, Orbital angular momentum of light, in Quantum Images, ed. M. Kolobov (Springer-Verlag, in press).

2006 (1)

J. B. Götte, S. Franke-Arnold, and S. M. Barnett “Angular EPR paradox” J. Mod. Opt. 53, 627–645 (2006).
[Crossref]

2005 (2)

D. T. Pegg, S. M. Barnett, R. Zambrini, S. Franke-Arnold, and M. Padgett, “Minimum uncertainty states of angular momentum and angular position” New J. Phys. 7, 62.1–62.20 (2005).
[Crossref]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, Vortex knots in light”, New J. Phys. 7, 55.1–55.11 (2005).
[Crossref]

2004 (5)

J. Leach, M. Dennis, J. Courtial, and M. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref] [PubMed]

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen Paradox Using Momentum- and Position-Entangled Photons from Spontaneous Parametric Down Conversion” Phys. Rev. Lett. 92, 210403 (2004).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12, 5448–5456 (2004).
[Crossref] [PubMed]

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
[Crossref]

2002 (4)

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, “Two-photon entanglement of orbital angular momentum states,” Phys. Rev. A 65, 033823 (2002).
[Crossref]

A. Vaziri, G. Weihs, and A. Zeilinger, “Superpositions of the orbital angular momentum for applications in quantum experiments,” J. Opt. B: Quantum Semiclass. Opt. 4S47–S51 (2002).
[Crossref]

M. Padgett, J. Courtial, L. Allen, S. Franke-Arnold, and S. M. Barnett, “Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion,” J. Mod. Opt. 49, 777–785 (2002).
[Crossref]

A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication,” Phys. Rev. Lett. 89, 240401 (2002).
[Crossref] [PubMed]

2001 (1)

A. Mair, A Vaziri, G Weihs, and A. Zeilinger “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[Crossref] [PubMed]

1999 (1)

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

1996 (2)

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

M. A. Golub, E. L. Kaganov, A. A. Kondorov, V. A. Soifer, and G. V. Usplen’ev, “Experimental investigation of a multibeam holographic optical element matched to Gauss-Laguerre modes,” Kvantovaya Electronika 23, 188–190 (1996).

1995 (1)

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y.H. Shih, “Observation of 2-photon ghost interference and diffraction,” Phys. Rev. Lett. 74, 3600–3603 (1995).
[Crossref] [PubMed]

1990 (1)

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429–431 (1990).

1986 (1)

R. Ghosh, C. K. Hong, Z. Y. Ou, and L. Mandel, “Interference of two photons in parametric down conversion,” Phys. Rev. A 34, 3962–3968 (1986).
[Crossref] [PubMed]

1982 (1)

A. Aspect, J. Dalibard, and G Roger, “Experimental test of Bell inequalities using time-varying analysers,” Phys. Rev. Lett. 49, 1804–1807 (1982).
[Crossref]

Allen, L.

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, “Two-photon entanglement of orbital angular momentum states,” Phys. Rev. A 65, 033823 (2002).
[Crossref]

M. Padgett, J. Courtial, L. Allen, S. Franke-Arnold, and S. M. Barnett, “Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion,” J. Mod. Opt. 49, 777–785 (2002).
[Crossref]

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

L. Allen, S. M. Barnett, and M. J. Padgett “Optical Angular Momentum” (Institute of Physics Publishing, Bristol, 2003).

Aspect, A.

A. Aspect, J. Dalibard, and G Roger, “Experimental test of Bell inequalities using time-varying analysers,” Phys. Rev. Lett. 49, 1804–1807 (1982).
[Crossref]

Babiker, M.

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

Barnett, S. M.

J. B. Götte, S. Franke-Arnold, and S. M. Barnett “Angular EPR paradox” J. Mod. Opt. 53, 627–645 (2006).
[Crossref]

D. T. Pegg, S. M. Barnett, R. Zambrini, S. Franke-Arnold, and M. Padgett, “Minimum uncertainty states of angular momentum and angular position” New J. Phys. 7, 62.1–62.20 (2005).
[Crossref]

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
[Crossref]

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12, 5448–5456 (2004).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

M. Padgett, J. Courtial, L. Allen, S. Franke-Arnold, and S. M. Barnett, “Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion,” J. Mod. Opt. 49, 777–785 (2002).
[Crossref]

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, “Two-photon entanglement of orbital angular momentum states,” Phys. Rev. A 65, 033823 (2002).
[Crossref]

L. Allen, S. M. Barnett, and M. J. Padgett “Optical Angular Momentum” (Institute of Physics Publishing, Bristol, 2003).

S. M. Barnett and R. Zambrini, Orbital angular momentum of light, in Quantum Images, ed. M. Kolobov (Springer-Verlag, in press).

Bazhenov, V. Yu.

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429–431 (1990).

Bennink, R. S.

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen Paradox Using Momentum- and Position-Entangled Photons from Spontaneous Parametric Down Conversion” Phys. Rev. Lett. 92, 210403 (2004).
[Crossref] [PubMed]

Bentley, S. J.

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen Paradox Using Momentum- and Position-Entangled Photons from Spontaneous Parametric Down Conversion” Phys. Rev. Lett. 92, 210403 (2004).
[Crossref] [PubMed]

Boyd, R. W.

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen Paradox Using Momentum- and Position-Entangled Photons from Spontaneous Parametric Down Conversion” Phys. Rev. Lett. 92, 210403 (2004).
[Crossref] [PubMed]

Courtial, J.

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, Vortex knots in light”, New J. Phys. 7, 55.1–55.11 (2005).
[Crossref]

J. Leach, M. Dennis, J. Courtial, and M. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12, 5448–5456 (2004).
[Crossref] [PubMed]

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
[Crossref]

M. Padgett, J. Courtial, L. Allen, S. Franke-Arnold, and S. M. Barnett, “Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion,” J. Mod. Opt. 49, 777–785 (2002).
[Crossref]

Dalibard, J.

A. Aspect, J. Dalibard, and G Roger, “Experimental test of Bell inequalities using time-varying analysers,” Phys. Rev. Lett. 49, 1804–1807 (1982).
[Crossref]

Dennis, M.

J. Leach, M. Dennis, J. Courtial, and M. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref] [PubMed]

Dennis, M. R.

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, Vortex knots in light”, New J. Phys. 7, 55.1–55.11 (2005).
[Crossref]

Franke-Arnold, S.

J. B. Götte, S. Franke-Arnold, and S. M. Barnett “Angular EPR paradox” J. Mod. Opt. 53, 627–645 (2006).
[Crossref]

D. T. Pegg, S. M. Barnett, R. Zambrini, S. Franke-Arnold, and M. Padgett, “Minimum uncertainty states of angular momentum and angular position” New J. Phys. 7, 62.1–62.20 (2005).
[Crossref]

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
[Crossref]

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12, 5448–5456 (2004).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

M. Padgett, J. Courtial, L. Allen, S. Franke-Arnold, and S. M. Barnett, “Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion,” J. Mod. Opt. 49, 777–785 (2002).
[Crossref]

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, “Two-photon entanglement of orbital angular momentum states,” Phys. Rev. A 65, 033823 (2002).
[Crossref]

Ghosh, R.

R. Ghosh, C. K. Hong, Z. Y. Ou, and L. Mandel, “Interference of two photons in parametric down conversion,” Phys. Rev. A 34, 3962–3968 (1986).
[Crossref] [PubMed]

Gibson, G.

Golub, M. A.

M. A. Golub, E. L. Kaganov, A. A. Kondorov, V. A. Soifer, and G. V. Usplen’ev, “Experimental investigation of a multibeam holographic optical element matched to Gauss-Laguerre modes,” Kvantovaya Electronika 23, 188–190 (1996).

Götte, J. B.

J. B. Götte, S. Franke-Arnold, and S. M. Barnett “Angular EPR paradox” J. Mod. Opt. 53, 627–645 (2006).
[Crossref]

Hara,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Haruyoshi,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Hong, C. K.

R. Ghosh, C. K. Hong, Z. Y. Ou, and L. Mandel, “Interference of two photons in parametric down conversion,” Phys. Rev. A 34, 3962–3968 (1986).
[Crossref] [PubMed]

Howell, J. C.

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen Paradox Using Momentum- and Position-Entangled Photons from Spontaneous Parametric Down Conversion” Phys. Rev. Lett. 92, 210403 (2004).
[Crossref] [PubMed]

Igasaki,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Kaganov, E. L.

M. A. Golub, E. L. Kaganov, A. A. Kondorov, V. A. Soifer, and G. V. Usplen’ev, “Experimental investigation of a multibeam holographic optical element matched to Gauss-Laguerre modes,” Kvantovaya Electronika 23, 188–190 (1996).

Klyshko, D. N.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y.H. Shih, “Observation of 2-photon ghost interference and diffraction,” Phys. Rev. Lett. 74, 3600–3603 (1995).
[Crossref] [PubMed]

Kobayashi,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Kondorov, A. A.

M. A. Golub, E. L. Kaganov, A. A. Kondorov, V. A. Soifer, and G. V. Usplen’ev, “Experimental investigation of a multibeam holographic optical element matched to Gauss-Laguerre modes,” Kvantovaya Electronika 23, 188–190 (1996).

Leach, J.

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, Vortex knots in light”, New J. Phys. 7, 55.1–55.11 (2005).
[Crossref]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

J. Leach, M. Dennis, J. Courtial, and M. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref] [PubMed]

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
[Crossref]

Mair, A.

A. Mair, A Vaziri, G Weihs, and A. Zeilinger “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[Crossref] [PubMed]

Mandel, L.

R. Ghosh, C. K. Hong, Z. Y. Ou, and L. Mandel, “Interference of two photons in parametric down conversion,” Phys. Rev. A 34, 3962–3968 (1986).
[Crossref] [PubMed]

L. Mandel and E. Wolf, “Coherence and Quantum Optics” (Cambridge University Press, Cambridge, 1995).

Mukohzaka,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Naohisa,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Narihiro,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Ou, Z. Y.

R. Ghosh, C. K. Hong, Z. Y. Ou, and L. Mandel, “Interference of two photons in parametric down conversion,” Phys. Rev. A 34, 3962–3968 (1986).
[Crossref] [PubMed]

Padgett, M.

D. T. Pegg, S. M. Barnett, R. Zambrini, S. Franke-Arnold, and M. Padgett, “Minimum uncertainty states of angular momentum and angular position” New J. Phys. 7, 62.1–62.20 (2005).
[Crossref]

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
[Crossref]

J. Leach, M. Dennis, J. Courtial, and M. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref] [PubMed]

M. Padgett, J. Courtial, L. Allen, S. Franke-Arnold, and S. M. Barnett, “Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion,” J. Mod. Opt. 49, 777–785 (2002).
[Crossref]

Padgett, M. J.

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, Vortex knots in light”, New J. Phys. 7, 55.1–55.11 (2005).
[Crossref]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12, 5448–5456 (2004).
[Crossref] [PubMed]

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, “Two-photon entanglement of orbital angular momentum states,” Phys. Rev. A 65, 033823 (2002).
[Crossref]

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

L. Allen, S. M. Barnett, and M. J. Padgett “Optical Angular Momentum” (Institute of Physics Publishing, Bristol, 2003).

Pas’ko, V.

Pegg, D. T.

D. T. Pegg, S. M. Barnett, R. Zambrini, S. Franke-Arnold, and M. Padgett, “Minimum uncertainty states of angular momentum and angular position” New J. Phys. 7, 62.1–62.20 (2005).
[Crossref]

Roger, G

A. Aspect, J. Dalibard, and G Roger, “Experimental test of Bell inequalities using time-varying analysers,” Phys. Rev. Lett. 49, 1804–1807 (1982).
[Crossref]

Sergienko, A. V.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y.H. Shih, “Observation of 2-photon ghost interference and diffraction,” Phys. Rev. Lett. 74, 3600–3603 (1995).
[Crossref] [PubMed]

Shih, Y.H.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y.H. Shih, “Observation of 2-photon ghost interference and diffraction,” Phys. Rev. Lett. 74, 3600–3603 (1995).
[Crossref] [PubMed]

Skeldon, K.

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

Soifer, V. A.

M. A. Golub, E. L. Kaganov, A. A. Kondorov, V. A. Soifer, and G. V. Usplen’ev, “Experimental investigation of a multibeam holographic optical element matched to Gauss-Laguerre modes,” Kvantovaya Electronika 23, 188–190 (1996).

Soskin, M. S.

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429–431 (1990).

Strekalov, D. V.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y.H. Shih, “Observation of 2-photon ghost interference and diffraction,” Phys. Rev. Lett. 74, 3600–3603 (1995).
[Crossref] [PubMed]

Toyoda,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Tsutomu,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Usplen’ev, G. V.

M. A. Golub, E. L. Kaganov, A. A. Kondorov, V. A. Soifer, and G. V. Usplen’ev, “Experimental investigation of a multibeam holographic optical element matched to Gauss-Laguerre modes,” Kvantovaya Electronika 23, 188–190 (1996).

Vasnetsov, M.

Vasnetsov, M. V.

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429–431 (1990).

Vaziri, A

A. Mair, A Vaziri, G Weihs, and A. Zeilinger “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[Crossref] [PubMed]

Vaziri, A.

A. Vaziri, G. Weihs, and A. Zeilinger, “Superpositions of the orbital angular momentum for applications in quantum experiments,” J. Opt. B: Quantum Semiclass. Opt. 4S47–S51 (2002).
[Crossref]

A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication,” Phys. Rev. Lett. 89, 240401 (2002).
[Crossref] [PubMed]

Weihs, G

A. Mair, A Vaziri, G Weihs, and A. Zeilinger “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[Crossref] [PubMed]

Weihs, G.

A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication,” Phys. Rev. Lett. 89, 240401 (2002).
[Crossref] [PubMed]

A. Vaziri, G. Weihs, and A. Zeilinger, “Superpositions of the orbital angular momentum for applications in quantum experiments,” J. Opt. B: Quantum Semiclass. Opt. 4S47–S51 (2002).
[Crossref]

Wolf, E.

L. Mandel and E. Wolf, “Coherence and Quantum Optics” (Cambridge University Press, Cambridge, 1995).

Yao, E.

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
[Crossref]

Yasuhiro,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Yoshida,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Yuji,

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Zambrini, R.

D. T. Pegg, S. M. Barnett, R. Zambrini, S. Franke-Arnold, and M. Padgett, “Minimum uncertainty states of angular momentum and angular position” New J. Phys. 7, 62.1–62.20 (2005).
[Crossref]

S. M. Barnett and R. Zambrini, Orbital angular momentum of light, in Quantum Images, ed. M. Kolobov (Springer-Verlag, in press).

Zeilinger, A.

A. Vaziri, G. Weihs, and A. Zeilinger, “Superpositions of the orbital angular momentum for applications in quantum experiments,” J. Opt. B: Quantum Semiclass. Opt. 4S47–S51 (2002).
[Crossref]

A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication,” Phys. Rev. Lett. 89, 240401 (2002).
[Crossref] [PubMed]

A. Mair, A Vaziri, G Weihs, and A. Zeilinger “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[Crossref] [PubMed]

J. Mod. Opt. (2)

M. Padgett, J. Courtial, L. Allen, S. Franke-Arnold, and S. M. Barnett, “Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion,” J. Mod. Opt. 49, 777–785 (2002).
[Crossref]

J. B. Götte, S. Franke-Arnold, and S. M. Barnett “Angular EPR paradox” J. Mod. Opt. 53, 627–645 (2006).
[Crossref]

J. Opt. B: Quantum Semiclass. Opt. (1)

A. Vaziri, G. Weihs, and A. Zeilinger, “Superpositions of the orbital angular momentum for applications in quantum experiments,” J. Opt. B: Quantum Semiclass. Opt. 4S47–S51 (2002).
[Crossref]

JETP Lett. (1)

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429–431 (1990).

Kvantovaya Electronika (1)

M. A. Golub, E. L. Kaganov, A. A. Kondorov, V. A. Soifer, and G. V. Usplen’ev, “Experimental investigation of a multibeam holographic optical element matched to Gauss-Laguerre modes,” Kvantovaya Electronika 23, 188–190 (1996).

Nature (2)

J. Leach, M. Dennis, J. Courtial, and M. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref] [PubMed]

A. Mair, A Vaziri, G Weihs, and A. Zeilinger “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[Crossref] [PubMed]

New J. Phys. (3)

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, Vortex knots in light”, New J. Phys. 7, 55.1–55.11 (2005).
[Crossref]

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, “Uncertainty principle for angular position and angular momentum”, New J. Phys. 6, 103.1–103.8 (2004).
[Crossref]

D. T. Pegg, S. M. Barnett, R. Zambrini, S. Franke-Arnold, and M. Padgett, “Minimum uncertainty states of angular momentum and angular position” New J. Phys. 7, 62.1–62.20 (2005).
[Crossref]

Opt. Express (1)

Phys. Rev. A (2)

S. Franke-Arnold, S. M. Barnett, M. J. Padgett, and L. Allen, “Two-photon entanglement of orbital angular momentum states,” Phys. Rev. A 65, 033823 (2002).
[Crossref]

R. Ghosh, C. K. Hong, Z. Y. Ou, and L. Mandel, “Interference of two photons in parametric down conversion,” Phys. Rev. A 34, 3962–3968 (1986).
[Crossref] [PubMed]

Phys. Rev. Lett. (5)

A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication,” Phys. Rev. Lett. 89, 240401 (2002).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin or the total angular momentum of the photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

A. Aspect, J. Dalibard, and G Roger, “Experimental test of Bell inequalities using time-varying analysers,” Phys. Rev. Lett. 49, 1804–1807 (1982).
[Crossref]

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y.H. Shih, “Observation of 2-photon ghost interference and diffraction,” Phys. Rev. Lett. 74, 3600–3603 (1995).
[Crossref] [PubMed]

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen Paradox Using Momentum- and Position-Entangled Photons from Spontaneous Parametric Down Conversion” Phys. Rev. Lett. 92, 210403 (2004).
[Crossref] [PubMed]

Proc. SPIE (1)

Yoshida, Narihiro, Toyoda, Haruyoshi, Igasaki, Yasuhiro, Mukohzaka, Naohisa, Kobayashi, Yuji, Hara, and Tsutomu “Nonpixellated electrically addressed spatial light modulator (SLM) combining an optically addressed SLM with a CRT” Proc. SPIE 2885132–136 (1996)
[Crossref]

Prog. Opt. (1)

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

Other (3)

L. Allen, S. M. Barnett, and M. J. Padgett “Optical Angular Momentum” (Institute of Physics Publishing, Bristol, 2003).

L. Mandel and E. Wolf, “Coherence and Quantum Optics” (Cambridge University Press, Cambridge, 1995).

S. M. Barnett and R. Zambrini, Orbital angular momentum of light, in Quantum Images, ed. M. Kolobov (Springer-Verlag, in press).

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Figures (3)

Fig. 1.
Fig. 1.

Experimental configuration for optical demonstration of quantum entanglement between photon pairs arising from parametric down-conversion. The key component for manipulating the detected photon state is a programmable spatial light modulator.

Fig. 2.
Fig. 2.

The measured ratio, R, between coincidence and single channel count rate as a function of lateral displacement of the various holograms, displayed as logarithmic surface plots.

Fig. 3.
Fig. 3.

The measured single channel and coincidence channel count rate as a function of angular deviation of the light beam introduced by the hologram. While the graph for the single channel count shows no interference fringes, these are observed in the coincidence channel. The red line is the expected interference fringe pattern.

Equations (1)

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0 = 1 + 2 0 = 1 + 2 .

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