Spatial Characterization Of Two-Photon States - GAP-Optique
Spatial Characterization Of Two-Photon States - GAP-Optique Spatial Characterization Of Two-Photon States - GAP-Optique
Bibliography [13] M. Barbieri, C. Cinelli, P. Mataloni, and F. D. Martini, “Polarizationmomentum hyperentangled states: Realization and characterization,” Phys. Rev. A, vol. 72, p. 052110, 2005. [14] D. P. Caetano and P. H. S. Ribeiro, “Quantum distillation of position entanglement with the polarization degrees of freedom,” Opt. Commun., vol. 211, p. 265, 2002. [15] J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett., vol. 88, p. 257901, 2002. [16] H. Wei, X. Xue, J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, E. Yao, and J. Courtial, “Simplified measurement of the orbital angular momentum of single photons,” Opt. Commun., vol. 223, pp. 117 – 122, 2003. [17] S. Haroche and J.-M. Raimond, Exploring the quantum. Oxford, UK: Oxford University Press, 2006. [18] J. D. Jackson, Classical electrodynamics. New York, US: John Wiley and sons, 1999. [19] V. Y. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefonts,” JETP Lett, vol. 52, p. 429, 1990. [20] N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “‘generation of optical phase singularities by computer generated holograms,” Opt. Lett., vol. 17, p. 221, 1992. [21] E. Yao, S. Franke-Arnold, J. Courtial, M. J. Padgett, and S. M. Barnett, “Observation of quantum entanglement using spatial light modulators,” Opt. Express, vol. 14, pp. 13089–13094, 2006. [22] H. H. Arnaut and G. A. Barbosa, “Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion,” Phys. Rev. Lett., vol. 85, pp. 286–289, Jul 2000. [23] R. Inoue, N. Kanai, T. Yonehara, Y. Miyamoto, M. Koashi, and M. Kozuma, “Entanglement of orbital angular momentum states between an ensemble of cold atoms and a photon,” Phys. Rev. A, vol. 74, p. 053809, 2006. [24] A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental two-photon, three dimensional entanglement for quantum communications,” Phys. Rev. Lett., vol. 89, p. 240401, 2002. [25] G. Molina-Terriza, A. Vaziri, R. Ursin, and A. Zeilinger, “Experimental quantum coin tossing,” Phys. Rev. Lett., vol. 94, p. 040501, 2005. [26] S. Gröblacher, T. Jennewein, A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental quantum cryptography with qutrits,” New J. Phys., vol. 8, p. 75, 2006. 74
Bibliography [27] J. P. Torres, A. Alexandrescu, and L. Torner, “Quantum spiral bandwidth of entangled two-photon states,” Phys. Rev. A, vol. 68, p. 050301, Nov 2003. [28] S. P. Walborn, A. N. de Oliveira, R. S. Thebaldi, and C. H. Monken, “Entanglement and conservation of orbital angular momentum in spontaneous parametric down-conversion,” Phys. Rev. A, vol. 69, p. 023811, 2004. [29] G. Molina-Terriza, A. Vaziri, J. ˇ Reháček, Z. Hradil, and A. Zeilinger, “Triggered qutrits for quantum communication protocols,” Phys. Rev. Lett., vol. 92, p. 167903, 2004. [30] J. P. Torres, G. Molina-Terriza, and L. Torner, “The spatial shape of entangled photon states generated in non-collinear, walking parametric down conversion,” J. Opt. B: Quantum Semiclass. Opt., vol. 7, pp. 235– 239, 2005. [31] A. R. Altman, K. G. Köprülü, E. Corndorf, P. Kumar, and G. A. Barbosa, “Quantum imaging of nonlocal spatial correlations induced by orbital angular momentum,” Phys. Rev. Lett., vol. 94, p. 123601, 2005. [32] G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, and J. P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down-conversion,” Phys. Rev. A, vol. 72, p. 065802, 2005. [33] C. I. Osorio, G. Molina-Terriza, B. G. Font, and J. P. Torres, “Azimuthal distinguishability of entangled photons generated in spontaneous parametric down-conversion,” Opt. Express, vol. 15, pp. 14636–14643, 2007. [34] R. W. Boyd, Nonlinear Optics. London, UK: Academic Press - Elsevier, 1977. [35] A. Yariv, Quantum Electronics. New York, US: Wiley-VCH, 1987. [36] R. Loudon, The quantum theory of light. Oxford, UK: Oxford University Press, 2000. [37] C. K. Hong and L. Mandel, “Theory of parametric frequency downconversion of light,” Phys. Rev. A, vol. 31, pp. 2409–2418, 1985. [38] A. Joobeur, B. E. A. Saleh, and M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric downconversion,” Phys. Rev. A, vol. 50, pp. 3349–3361, 1994. [39] J. P. Torres, C. I. Osorio, and L. Torner, “Orbital angular momentum of entangled counterpropagating photons,” Opt. Lett., vol. 29, pp. 1939–1941, 2004. [40] A. Joobeur, B. E. A. Saleh, T. S. Larchuk, and M. C. Teich, “Coherence properties of entangled light beams generated by parametric downconversion: Theory and experiment,” Phys. Rev. A, vol. 53, pp. 4360–4371, 1996. 75
- Page 43 and 44: 2.3. Correlations between signal an
- Page 45 and 46: 2.3. Correlations between signal an
- Page 47 and 48: Signal purity 1 0 (a) 0.1 3 2.3. Co
- Page 49 and 50: CHAPTER 3 Spatial correlations and
- Page 51 and 52: 3.2. OAM transfer in general SPDC c
- Page 53 and 54: 3.2. OAM transfer in general SPDC c
- Page 55: Phase front 3.3. OAM transfer in co
- Page 58 and 59: 4. OAM transfer in noncollinear con
- Page 60 and 61: 4. OAM transfer in noncollinear con
- Page 62 and 63: 4. OAM transfer in noncollinear con
- Page 64 and 65: 4. OAM transfer in noncollinear con
- Page 66 and 67: 4. OAM transfer in noncollinear con
- Page 68 and 69: 4. OAM transfer in noncollinear con
- Page 70 and 71: 4. OAM transfer in noncollinear con
- Page 72 and 73: 5. Spatial correlations in Raman tr
- Page 74 and 75: 5. Spatial correlations in Raman tr
- Page 76 and 77: 5. Spatial correlations in Raman tr
- Page 78 and 79: 5. Spatial correlations in Raman tr
- Page 81 and 82: CHAPTER 6 Summary This thesis chara
- Page 83 and 84: APPENDIX A The matrix form of the m
- Page 85 and 86: v =γ 2 L 2 Np sin ϕi − γ 2 L 2
- Page 87: The matrix C is given by C = 1 ⎛
- Page 90 and 91: B. Integrals of the matrix mode fun
- Page 92 and 93: C. Methods for OAM measurements Inp
- Page 96 and 97: Bibliography [41] C. I. Osorio, A.
- Page 98: Bibliography [68] S. Chen, Y.-A. Ch
- Page 103: Spatial Characterization Of Two-Pho
- Page 107: A Luz Stella y Luis Alfonso, mis pa
- Page 110 and 111: Contents B Integrals of the matrix
- Page 112 and 113: When he [Kepler] found that his lon
- Page 114 and 115: Abstract The matrix notation, intro
- Page 116 and 117: Abstract La notación matricial int
- Page 118 and 119: Introduction the transfer of oam fr
- Page 121 and 122: CHAPTER 1 General description of Tw
- Page 123 and 124: y y x z z pump s i (a) signal idle
- Page 125 and 126: 1.3. Approximations and other consi
- Page 127 and 128: x 1.3. Approximations and other con
- Page 129 and 130: x Wave fronts 1.3. Approximations a
- Page 131 and 132: 1 0 -0.2 1.3. Approximations and ot
- Page 133: 1.4. The mode function in matrix fo
- Page 136 and 137: 2. Correlations and entanglement (a
- Page 138 and 139: 2. Correlations and entanglement ch
- Page 140 and 141: 2. Correlations and entanglement th
- Page 142 and 143: 2. Correlations and entanglement Fi
Bibliography<br />
[13] M. Barbieri, C. Cinelli, P. Mataloni, and F. D. Martini, “Polarizationmomentum<br />
hyperentangled states: Realization and characterization,”<br />
Phys. Rev. A, vol. 72, p. 052110, 2005.<br />
[14] D. P. Caetano and P. H. S. Ribeiro, “Quantum distillation of position<br />
entanglement with the polarization degrees of freedom,” Opt. Commun.,<br />
vol. 211, p. 265, 2002.<br />
[15] J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial,<br />
“Measuring the orbital angular momentum of a single photon,” Phys. Rev.<br />
Lett., vol. 88, p. 257901, 2002.<br />
[16] H. Wei, X. Xue, J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold,<br />
E. Yao, and J. Courtial, “Simplified measurement of the orbital angular<br />
momentum of single photons,” Opt. Commun., vol. 223, pp. 117 – 122,<br />
2003.<br />
[17] S. Haroche and J.-M. Raimond, Exploring the quantum. Oxford, UK:<br />
Oxford University Press, 2006.<br />
[18] J. D. Jackson, Classical electrodynamics. New York, US: John Wiley and<br />
sons, 1999.<br />
[19] V. Y. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with<br />
screw dislocations in their wavefonts,” JETP Lett, vol. 52, p. 429, 1990.<br />
[20] N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “‘generation<br />
of optical phase singularities by computer generated holograms,” Opt.<br />
Lett., vol. 17, p. 221, 1992.<br />
[21] E. Yao, S. Franke-Arnold, J. Courtial, M. J. Padgett, and S. M. Barnett,<br />
“Observation of quantum entanglement using spatial light modulators,”<br />
Opt. Express, vol. 14, pp. 13089–13094, 2006.<br />
[22] H. H. Arnaut and G. A. Barbosa, “Orbital and intrinsic angular momentum<br />
of single photons and entangled pairs of photons generated by<br />
parametric down-conversion,” Phys. Rev. Lett., vol. 85, pp. 286–289, Jul<br />
2000.<br />
[23] R. Inoue, N. Kanai, T. Yonehara, Y. Miyamoto, M. Koashi, and<br />
M. Kozuma, “Entanglement of orbital angular momentum states between<br />
an ensemble of cold atoms and a photon,” Phys. Rev. A, vol. 74, p. 053809,<br />
2006.<br />
[24] A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental two-photon, three dimensional<br />
entanglement for quantum communications,” Phys. Rev. Lett.,<br />
vol. 89, p. 240401, 2002.<br />
[25] G. Molina-Terriza, A. Vaziri, R. Ursin, and A. Zeilinger, “Experimental<br />
quantum coin tossing,” Phys. Rev. Lett., vol. 94, p. 040501, 2005.<br />
[26] S. Gröblacher, T. Jennewein, A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental<br />
quantum cryptography with qutrits,” New J. Phys., vol. 8,<br />
p. 75, 2006.<br />
74