Simultaneous near-field and far-field spatial quantum correlations in the high-gain regime of parametric down-conversion

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 2, 2004, Pages 238021-2380219

  Brambilla, E ^a   Gatti, A ^a   Bache, M ^a   Lugiato, L A ^a  

^a UNIVERSITY OF INSUBRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CORRELATION METHODS; DIFFRACTION; HOLOGRAPHY; IMAGE PROCESSING; MATHEMATICAL MODELS; NOISE ABATEMENT; NONLINEAR OPTICS; OPTICAL CORRELATION; OPTICAL PUMPING; PARAMETRIC OSCILLATORS; RANDOM PROCESSES;

PARAMETERIC DOWN-CONVERSION (PDC); PHASE-MATCHING CONFIGURATIONS; STOCHASTIC MODEL;

QUANTUM OPTICS;

EID: 1942443023     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (44)

1. M.I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999), and refer-ences quoted therein.
2. L.A. Lugiato, M. Brambilla, and A. Gatti, Adv. At., Mol., Opt. Phys. 40, 229 (1999).
3. C.K. Hong and L. Mandel, Phys. Rev. A 31, 2409 (1985); D.N. Klyshko, Photons and Nonlinear Optics (Gordon and Breach, New York, 1988).
4. C.K. Hong and L. Mandel, Phys. Rev. A 31, 2409 (1985); D.N. Klyshko, Photons and Nonlinear Optics (Gordon and Breach, New York, 1988).
5. P.H.S. Ribeiro, S. Padua, J.C. Machado da Silva, and G.A. Barbosa, Phys. Rev. A 49, 4176 (1994); D.V. Strekalov, A.V. Sergienko, D.N. Klyshko, and Y.H. Shih, Phys. Rev. Lett. 74, 3600 (1995); T.B. Pittman, Y.H. Shih, D.V. Strekalov, and A.V. Sergienko, Phys. Rev. A 52, R3429 (1995).
6. P.H.S. Ribeiro, S. Padua, J.C. Machado da Silva, and G.A. Barbosa, Phys. Rev. A 49, 4176 (1994); D.V. Strekalov, A.V. Sergienko, D.N. Klyshko, and Y.H. Shih, Phys. Rev. Lett. 74, 3600 (1995); T.B. Pittman, Y.H. Shih, D.V. Strekalov, and A.V. Sergienko, Phys. Rev. A 52, R3429 (1995).
7. P.H.S. Ribeiro, S. Padua, J.C. Machado da Silva, and G.A. Barbosa, Phys. Rev. A 49, 4176 (1994); D.V. Strekalov, A.V. Sergienko, D.N. Klyshko, and Y.H. Shih, Phys. Rev. Lett. 74, 3600 (1995); T.B. Pittman, Y.H. Shih, D.V. Strekalov, and A.V. Sergienko, Phys. Rev. A 52, R3429 (1995).
8. D.N. Klyshko, Sov. Phys. JETP 67, 1131 (1988); A.V. Belinskii and D.N. Klyshko, ibid. 78, 259 (1994).
9. D.N. Klyshko, Sov. Phys. JETP 67, 1131 (1988); A.V. Belinskii and D.N. Klyshko, ibid. 78, 259 (1994).
10. G.A. Barbosa, Phys. Rev. A 54, 4473 (1996).
11. T.B. Pittman, D.V. Strekalov, D.N. Klyshko, M.H. Rubin, A.V. Sergienko, and Y.H. Shih, Phys. Rev. A 53, 2804 (1996).
12. A.V. Burlakov, M.V. Chekhova, D.N. Klyshko, S.P. Kulik, A.N. Penin, Y.H. Shih, and D.V. Strekalov, Phys. Rev. A 56, 3214 (1997).
13. M.H. Rubin, Phys. Rev. A 54, 5349 (1996).
14. B.E.A. Saleh, A.F. Abouraddy, A.V. Sergienko, and M.C. Teich, Phys. Rev. A 62, 043816 (2000); A.F. Abouraddy, M.B. Nasr, B.E.A. Saleh, A.V. Sergienko, and M.V. Teich, ibid. 63, 063803 (2001); A.F. Abouraddy, B.E.A. Saleh, A.V. Sergienko, and M.C. Teich, J. Opt. Soc. Am. B 19, 1174 (2002).
15. B.E.A. Saleh, A.F. Abouraddy, A.V. Sergienko, and M.C. Teich, Phys. Rev. A 62, 043816 (2000); A.F. Abouraddy, M.B. Nasr, B.E.A. Saleh, A.V. Sergienko, and M.V. Teich, ibid. 63, 063803 (2001); A.F. Abouraddy, B.E.A. Saleh, A.V. Sergienko, and M.C. Teich, J. Opt. Soc. Am. B 19, 1174 (2002).
16. B.E.A. Saleh, A.F. Abouraddy, A.V. Sergienko, and M.C. Teich, Phys. Rev. A 62, 043816 (2000); A.F. Abouraddy, M.B. Nasr, B.E.A. Saleh, A.V. Sergienko, and M.V. Teich, ibid. 63, 063803 (2001); A.F. Abouraddy, B.E.A. Saleh, A.V. Sergienko, and M.C. Teich, J. Opt. Soc. Am. B 19, 1174 (2002).
17. A. Gatti and L. Lugiato, Phys. Rev. A 52, 1675 (1995); I. Marzoli, A. Gatti, and L.A. Lugiato, Phys. Rev. Lett. 78, 2092 (1997); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.L. Oppo, and S.M. Barnett, Phys. Rev. A 56, 877 (1997); C. Szwaj, G.-L. Oppo, A. Gatti, and L.A. Lugiato, Eur. Phys. J. D 10, 433 (2000).
18. A. Gatti and L. Lugiato, Phys. Rev. A 52, 1675 (1995); I. Marzoli, A. Gatti, and L.A. Lugiato, Phys. Rev. Lett. 78, 2092 (1997); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.L. Oppo, and S.M. Barnett, Phys. Rev. A 56, 877 (1997); C. Szwaj, G.-L. Oppo, A. Gatti, and L.A. Lugiato, Eur. Phys. J. D 10, 433 (2000).
19. A. Gatti and L. Lugiato, Phys. Rev. A 52, 1675 (1995); I. Marzoli, A. Gatti, and L.A. Lugiato, Phys. Rev. Lett. 78, 2092 (1997); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.L. Oppo, and S.M. Barnett, Phys. Rev. A 56, 877 (1997); C. Szwaj, G.-L. Oppo, A. Gatti, and L.A. Lugiato, Eur. Phys. J. D 10, 433 (2000).
20. A. Gatti and L. Lugiato, Phys. Rev. A 52, 1675 (1995); I. Marzoli, A. Gatti, and L.A. Lugiato, Phys. Rev. Lett. 78, 2092 (1997); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.L. Oppo, and S.M. Barnett, Phys. Rev. A 56, 877 (1997); C. Szwaj, G.-L. Oppo, A. Gatti, and L.A. Lugiato, Eur. Phys. J. D 10, 433 (2000).
21. A.F. Abouraddy, B.E.A. Saleh, A.V. Sergienko, and M.C. Teich, Opt. Express 9, 498 (2001).
22. I.V. Sokolov, M.I. Kolobov, A. Gatti, and L.A. Lugiato, Opt. Commun. 193, 175 (2001).
23. N. Treps, U. Andersen, B. Buchler, P.K. Lam, A. Maitre, H.-A. Bachor, and C. Fahre, Phys. Rev. Lett. 88, 203601 (2002).
24. L.A. Lugiato, A. Gatti, and E. Brambilla, J. Opt. B: Quantum Semiclassical Opt. 4, S176 (2002).
25. A. Gatti, E. Brambilla, L.A. Lugiato, and M.I. Kolobov, Phys. Rev. Lett. 83, 1763 (1999).
26. E. Brambilla, A. Gatti, M. Kolobov, and LA. Lugiato, Eur. Phys. J. D 15, 117 (2001).
27. A. Gatti, R. Zambrini, M. San Miguel, and L.A. Lugiato, e-print quant-ph/0306133.
28. A. Gatti, E. Brambilla, and L.A. Lugiato, Phys. Rev. Lett. 90, 133603 (2003).
29. Y. Jiang, O. Jedrkiewicz, S. Minardi, P. Di Trapani, A. Mosset, E. Lantz, and F. Devaux, Eur. Phys. J. D 22, 521 (2003).
30. E. Lantz and F. Devaux, Eur. Phys. J. D 17, 93 (2001).
31. M.I. Kolobov and I.V. Sokolov, Sov. Phys. JETP 69, 1097 (1989); Phys. Lett. A 140, 101 (1989).
32. M.I. Kolobov and I.V. Sokolov, Sov. Phys. JETP 69, 1097 (1989); Phys. Lett. A 140, 101 (1989).
33. V.G. Dmitriev, G.G. Gurzadyan, and D.N. Nikogosyan, Handbook of Nonlinear Optical Crystals, Springer Series in Optical Sciences (Springer-Verlag, Berlin, 1991); N. Boeuf et al., Opt. Eng. 39, 1016 (2000).
34. V.G. Dmitriev, G.G. Gurzadyan, and D.N. Nikogosyan, Handbook of Nonlinear Optical Crystals, Springer Series in Optical Sciences (Springer-Verlag, Berlin, 1991); N. Boeuf et al., Opt. Eng. 39, 1016 (2000).
35. P. Scotto and M. San Miguel, Phys. Rev. A 65, 043811 (2002).
36. F. Devaux and E. Lantz, Eur. Phys. J. D 8, 117 (2000).
37. A. Berzanskis, W. Chinaglia, L.A. Lugiato, K.H. Feller, and P. Di Trapani, Phys. Rev. A 60, 1626 (1999).
38. B.M. Jost, A.V. Sergienko, A.F. Abouraddy, B.E.A. Saleh, and M.C. Teich, Opt. Express 3, 81 (1998).
39. 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, ibid. 56, 1508 (1997).
40. 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, ibid. 56, 1508 (1997).
41. In the simulations we made use of a reliable Gaussian random number generator which is discussed in R. Toral and A. Chakrabarti, Comput. Phys. Commun. 74, 327 (1993).
42. See, e.g., W. Press, B. Flannery, S. Teukolsky, and W. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1992).
43. K. Koch, B.C. Cheung, G.T. Moore, S.H. Chakmakjian, and J.M. Liu, J. Quant. Electr. 31, 769 (1995).
44. C. Gardiner, Quantum Noise (Springer, Berlin, 1991).