Holographic ghost imaging and the violation of a Bell inequality.

We demonstrate the contrast enhancement of images within a ghost-imaging system by use of nonlocal phase filters. We use parametric down-conversion as the two-photon light source and two separated phase modulators, in the signal and idler arms which represent different phase filters and objects, respectively. We obtain edge enhanced images as a direct consequence of the quantum correlations in the orbital angular momentum (OAM) of the down-converted photon pairs. For phase objects, with differently orientated edges, we show a violation of a Bell-type inequality for an OAM subspace, thereby unambiguously revealing the quantum nature of our ghost-imaging arrangement.

[1]  Andrea Aiello,et al.  Nonlocality of high-dimensional two-photon orbital angular momentum states , 2005 .

[2]  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.

[3]  Y. Shih,et al.  Two-photon "ghost" imaging with thermal light , 2004, 2005 Quantum Electronics and Laser Science Conference.

[4]  N. Gisin.  Bell's inequality holds for all non-product states , 1991 .

[5]  Giuliano Scarcelli,et al.  Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations? , 2006, Physical review letters.

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

[7]  M J Padgett,et al.  Poincaré-sphere equivalent for light beams containing orbital angular momentum. , 1999, Optics letters.

[8]  Robert W Boyd,et al.  Quantum and classical coincidence imaging. , 2004, Physical review letters.

[9]  J. Lavoie,et al.  Quantum-inspired interferometry with chirped laser pulses , 2008, 0804.4022.

[10]  A. Vaziri,et al.  Entanglement of the orbital angular momentum states of photons , 2001, Nature.

[11]  M. Teich,et al.  Experimental violation of Bell's inequality in spatial-parity space. , 2007, Physical review letters.

[12]  J. P. Torres,et al.  Quantum spiral bandwidth of entangled two-photon states , 2003 .

[13]  Hong,et al.  Interference of two photons in parametric down conversion. , 1986, Physical review. A, General physics.

[14]  R. Boyd,et al.  "Two-Photon" coincidence imaging with a classical source. , 2002, Physical review letters.

[15]  M. Padgett,et al.  Advances in optical angular momentum , 2008 .

[16]  Stephen M. Barnett,et al.  Two-photon entanglement of orbital angular momentum states , 2002 .

[17]  A. Gatti,et al.  High-resolution ghost image and ghost diffraction experiments with thermal light. , 2005, Physical review letters.

[18]  Shih,et al.  Observation of two-photon "ghost" interference and diffraction. , 1995, Physical review letters.

[19]  Y. Shih.  Quantum Imaging , 2007, IEEE Journal of Selected Topics in Quantum Electronics.

[20]  P. Grangier,et al.  Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment : A New Violation of Bell's Inequalities , 1982 .

[21]  C. Fabre,et al.  Comment on "Can Two-Photon Correlation of Chaotic Light Be Considered as Correlation of Intensity Fluctuations?". , 2007, Physical review letters.

[22]  A. Lvovsky,et al.  Optical mode characterization of single photons prepared by means of conditional measurements on a biphoton state , 2001, quant-ph/0107080.

[23]  S. Bernet,et al.  Spiral Phase Microscopy , 2007 .

[24]  S. Barnett,et al.  Bell's inequality and the Schmidt decomposition , 1992 .

[25]  M Ritsch-Marte,et al.  Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces. , 2009, Optics express.

[26]  Robert W. Boyd,et al.  Fourier relationship between the angle and angular momentum of entangled photons , 2008 .

[27]  Shih,et al.  Optical imaging by means of two-photon quantum entanglement. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[28]  Jeffrey H. Shapiro,et al.  Unified theory of ghost imaging with Gaussian-state light , 2007, 0712.3554.

[29]  Nathan K Langford,et al.  Generation of hyperentangled photon pairs. , 2005, Physical review letters.

[30]  S. Bernet,et al.  Shadow effects in spiral phase contrast microscopy. , 2005, Physical review letters.

[31]  A Gatti,et al.  Entangled imaging and wave-particle duality: from the microscopic to the macroscopic realm. , 2003, Physical review letters.

[32]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.