Correlations in far field of photons emitted by parametric fluorescence

The fundamental research of the parametrical fluorescence is discussed. We start with the mathematical model. We have included the final size of nonlinear crystal, the chirped pump pulse of Gaussian elliptical beam in the model. We have verified the numerical results experimentally. We have used two different methods. First one used ICCD camera, and second one, scan by Hong-Ou-Mandel interferometer.

[1]  S. P. Walborn,et al.  Entanglement and conservation of orbital angular momentum in spontaneous parametric down-conversion , 2004 .

[2]  Jan Perina,et al.  Direct measurement and reconstruction of nonclassical features of twin beams generated in spontaneous parametric down-conversion , 2005 .

[3]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[4]  Barbosa,et al.  Spatial properties of spontaneous parametric down-conversion and their effect on induced coherence without induced emission. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[5]  M. Teich,et al.  Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera. , 1998, Optics express.

[6]  Hong,et al.  Theory of parametric frequency down conversion of light. , 1985, Physical review. A, General physics.

[7]  L. Mandel,et al.  Induced coherence without induced emission. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[8]  Yanhua Shih,et al.  Entangled biphoton source - property and preparation , 2003 .

[9]  G. Molina-Terriza,et al.  Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down-conversion , 2005, quant-ph/0508058.

[10]  Yanhua Shih,et al.  Identifying entanglement using quantum "ghost" interference and imaging , 2004, InternationalQuantum Electronics Conference, 2004. (IQEC)..

[11]  Mario Bertolotti,et al.  Properties of entangled photon pairs generated in one-dimensional nonlinear photonic-band-gap structures , 2006 .

[12]  I. Walmsley,et al.  Spectral information and distinguishability in type-II down-conversion with a broadband pump , 1997 .

[13]  A. V. Sergienko,et al.  Dispersion in femtosecond entangled two-photon interference , 1999 .

[14]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

[15]  Alexander V. Sergienko,et al.  Quantum Interference and Indistinguishability with Femtosecond Pulses , 1997 .

[16]  A. Gatti,et al.  Simultaneous near-field and far-field spatial quantum correlations in the high-gain regime of parametric down-conversion , 2003, quant-ph/0306116.

[17]  Bahaa E. A. Saleh,et al.  Spatial effects in two- and four-beam interference of partially entangled biphotons , 1998 .

[18]  Bahaa E. A. Saleh,et al.  Biphoton focusing for two-photon excitation , 2002 .

[19]  Jan Perina,et al.  Transverse coherence of photon pairs generated in spontaneous parametric down-conversion , 2010, 1003.1249.

[20]  M. Rubin,et al.  THEORY OF TWO-PHOTON ENTANGLEMENT FOR SPONTANEOUS PARAMETRIC DOWN-CONVERSION DRIVEN BY A NARROW PUMP PULSE , 1997 .

[21]  John C Howell,et al.  Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion. , 2004, Physical review letters.

[22]  Ole Steuernagel,et al.  Spontaneous parametric down-conversion for an arbitrary monochromatic pump beam , 1998 .

[23]  Carlos H. Monken,et al.  Optimizing the photon pair collection efficiency: A step toward a loophole-free Bell’s inequalities experiment , 1998 .

[24]  Jan Perina,et al.  Simple direct measurement of nonclassical joint signal–idler photon-number statistics and the correlation area of twin photon beams , 2005, 0708.2241.