Abstract
This chapter and Chapter 5 constitute a direct continuation of Chapter 1, with a description of the developments in the continuous variable approach to quantum imaging, achieved in the framework of QUANTIM. Whereas Chapter 2 treats the traveling-wave configuration for PDC, the discussion of Chapter 5 focuses on the cavity configuration of optical parametric oscillators. The structure of this chapter is as follows. Section 2.2 presents the theoretical picture of spatial entanglement in type-II materials. Contrary to most literature on PDC, the emphasis is on the high-gain regime. Section 2.3 describes the experimental observations of those theoretical predictions outlined in Section 2.2, which concern the quantum correlations in the far field, with an associated phenomenon of photon antibunching in space. In the final Section 2.4 we illustrate the multiphoton, multimode polarization entanglement in the high-gain PDC. Instead of considering the standard polarization entanglement in single pairs of signal–idler photons, we focus on collective polarization entanglement properties at the macroscopic level.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).
M. I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999), and references quoted therein.
A. Gatti, R. Zambrini, M. San Miguel, and L. A. Lugiato, Phys. Rev. A 68, 053807 (2003).
P. Scotto and M. San Miguel, Phys. Rev. A 65, 42811 (2002).
A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 90, 133603 (2003).
M. J. Werner, M. G. Raymer, M. Beck, and P. D. Drummond Phys. Rev. A 52, 4202 (1995); M. J. Werner and P. D. Drummond, Phys. Rev. A 56, 1508 (1997).
In the simulations we made use of a reliable Gaussian random number generator which is discussed in R. Toral, A. Chakrabarti, Comput. Phys. Comm., 74, 327 (1993).
See, e.g., W. Press, B. Flannery, S. Teukolsky, W. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1992).
B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, and M. C. Teich, Opt. Expr. 3, 81 (1998).
A. Berzanskis, W. Chinaglia, L. A. Lugiato, K. H. Feller, and P. Di Trapani, Phys. Rev. A 60, 1626 (1999).
O. Jedrkiewicz, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601 (2004).
O. Jedrkiewicz, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, J. Mod. Opt., 53, 575 (2006).
L. A. Lugiato, A. Gatti and E. Brambilla, J. Opt. B: Quant. Semiclass. Opt. 4, S176 (2002), and references therein.
D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato Phys. Rev. Lett. 94, 183602 (2005).
R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
W. A. T. Nogueira, S. P. Walborn, S. Padua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).
J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd Phys. Rev. Lett. 92, 210403 (2004).
A. Gatti, E. Brambilla, L. A. Lugiato, and M. I. Kolobov, Phys. Rev. Lett. 83, 1763 (1999); E. Brambilla, A. Gatti, L. A. Lugiato, and M. I. Kolobov, Eur. Phys. J. D 15, 117 (2001).
O. Aytur and P. Kumar, Phys. Rev. Lett. 65, 1551 (1990).
B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, and M. C. Teich, Opt. Express 81, 3 (1998).
S. S. R. Oemrawsingh, W. J. van Drunen, E. R. Eliel, and J. P. Woerdman, J. Opt. Soc. Am. B 19, 2391 (2002).
N. Treps, U. Andersen, B. Buchler, P. K. Lam, A. Maître, H.-A. Bachor, and C. Fabre, Phys. Rev. Lett. 88, 203601, (2002).
A. Mosset, F. Devaux, and E. Lantz, Phys. Rev. Lett. 94, 223603 (2005).
J. R. Janesick, Scientific Charge-Coupled Devices (SPIE Bellingham, WA, 2001), pp. 204–205; see also http://www.roperScientific.de/theory.html.
Y.-K. Jiang, O. Jedrkiewicz, S. Minardi, P. Di Trapani, A. Mosset, E. Lantz, and F. Devaux, Eur. Phys. J. D 22, 521 (2003).
A. Mosset, F. Devaux, G. Fanjoux, and E. Lantz, Eur. Phys. J. D 28, 447 (2004).
J. W. Goodman, Statistical Optics (Wiley Classics Library, New York, 2000).
S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992), p. 151.
P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, Phys. Rev. Lett. 80, 265 (1998).
I. Marzoli, A. Gatti, and L. A. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).
L. A. Lugiato, A. Gatti, H. Ritsch, I. Marzoli, and G.-L. Oppo, J. Mod. Opt. 44, 1899 (1997).
C. Szwaj, G.-L. Oppo, A. Gatti, and L. A. Lugiato, Eur. Phys. J. D 10, 433 (2000).
W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002); W. P. Bowen, N. Treps, R. Schnabel, and P. K. Lam, Phys. Rev. Lett. 89, 253601 (2002); R. Schnabel, W. P. Bowen, N. Treps, T. C. Ralph, H.-A. Bachor, and P. K. Lam, Phys. Rev. A67, 012316 (2003).
N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002); e-print quant-ph/0108098.
J. Hald, J. L. Sorensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter and A. Zeilinger, Nature (London) 390, 575 (1997); D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, Phys. Rev. Lett. 80, 1121 (1998).
A. V. Sergienko, M. Atatüre, Z. Walton, G. Jaeger, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 60, R2622 (1999); T. Jennewein, C. Simon, G. Weihs, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 84, 4729 (2000).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
Gatti, A., Brambilla, E., Jedrkiewicz, O., Lugiato, L.A. (2007). Spatial Entanglement in Optical Parametric Down-Conversion. In: Kolobov, M.I. (eds) Quantum Imaging. Springer, New York, NY. https://doi.org/10.1007/0-387-33988-4_2
Download citation
DOI: https://doi.org/10.1007/0-387-33988-4_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-33818-7
Online ISBN: 978-0-387-33988-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)