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 [41] C. I. Osorio, A. Valencia, and J. P. Torres, “Spatiotemporal correlations in entangled photons generated by spontaneous parametric down conversion,” New J. Phys., vol. 10, p. 113012, 2008. [42] J. Altepeter, E. Jeffrey, and P. Kwiat, “Photonic state tomography,” in Advances in Atomic, Molecular and Optical Physics (P. Berman and C. Lin, eds.), vol. 52, p. 107, Elsevier, 2005. [43] T. A. Brun, “Measuring polynomial functions of states,” Quantum Inf. Comput., vol. 4, pp. 401–408, 2004. [44] R. B. A. Adamson, L. K. Shalm, and A. M. Steinberg, “Preparation of pure and mixed polarization qubits and the direct measurement of figures of merit,” Phys. Rev. A, vol. 75, p. 012104, 2007. [45] L. E. Vicent, A. B. U’Ren, C. I. Osorio, and J. P. Torres, “Design of bright, fiber-coupled and fully factorable photon pair sources,” To be submitted, 2009. [46] T. Yarnall, A. F. Abouraddy, B. E. Saleh, and M. C. Teich, “Spatial coherence effects on second- andfourth-order temporal interference,” Opt. Express, vol. 16, pp. 7634–7640, 2008. [47] M. P. van Exter, A. Aiello, S. S. R. Oemrawsingh, G. Nienhuis, and J. P. Woerdman, “Effect of spatial filtering on the schmidt decomposition of entangled photons,” Phys. Rev. A, vol. 74, p. 012309, 2006. [48] G. Adesso, A. Serafini, and F. Illuminati, “Determination of continuous variable entanglement by purity measurements,” Phys. Rev. Lett., vol. 92, p. 087901, 2004. [49] P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Conditional preparation of single photons using parametric downconversion: a recipe for purity,” New J. Phys., vol. 10, p. 093011, 2008. [50] A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, “Quantum state reconstruction of the single-photon fock state,” Phys. Rev. Lett., vol. 87, p. 050402, 2001. [51] L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of laguerregaussian laser modes,” Phys. Rev. A, vol. 45, pp. 8185–8189, 1992. [52] G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: Preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett., vol. 88, p. 013601, 2001. [53] J. U. Kang, Y. J. Ding, W. K. Burns, and J. S. Melinger, “Backward second-harmonic generation in periodically poled bulk linbo3,” Opt. Lett., vol. 22, pp. 862–864, 1997. [54] A. De Rossi and V. Berger, “Counterpropagating twin photons by parametric fluorescence,” Phys. Rev. Lett., vol. 88, p. 043901, 2002. 76
Bibliography [55] M. C. Booth, M. Atatüre, G. Di Giuseppe, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Counterpropagating entangled photons from a waveguide with periodic nonlinearity,” Phys. Rev. A, vol. 66, p. 023815, 2002. [56] N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring entangled qutrits and their use for quantum bit commitment,” Phys. Rev. Lett., vol. 93, p. 053601, 2004. [57] D. C. Burnham and D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett., vol. 25, pp. 84–87, 1970. [58] A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: Qutrits of photon orbital angular momentum,” Phys. Rev. Lett., vol. 91, p. 227902, 2003. [59] D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S.-Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett., vol. 95, p. 040405, 2005. [60] V. Balić, D. A. Braje, P. Kolchin, G. Y. Yin, and S. E. Harris, “Generation of paired photons with controllable waveforms,” Phys. Rev. Lett., vol. 94, p. 183601, 2005. [61] L. M. Duan, J. I. Cirac, and P. Zoller, “Three-dimensional theory for interaction between atomic ensembles and free-space light,” Phys. Rev. A, vol. 66, p. 023818, 2002. [62] J. H. Eberly, “Emission of one photon in an electric dipole transition of one among n atoms,” J. Phys. B, vol. 39, no. 15, pp. S599–S604, 2006. [63] M. O. Scully, E. S. Fry, C. H. R. Ooi, and K. Wódkiewicz, “Directed spontaneous emission from an extended ensemble of n atoms: Timing is everything,” Phys. Rev. Lett., vol. 96, p. 010501, Jan 2006. [64] A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, “Generation of nonclassical photon pairs for scalable quantum communication with atomic ensembles,” Nature, vol. 423, pp. 731–734, 2003. [65] D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett., vol. 93, p. 183601, 2004. [66] J. Wen and M. H. Rubin, “Transverse effects in paired-photon generation via an electromagnetically induced transparency medium. i. perturbation theory,” Phys. Rev. A, vol. 74, p. 023808, 2006. [67] J. Wen and M. H. Rubin, “Transverse effects in paired-photon generation via an electromagnetically induced transparency medium. ii. beyond perturbation theory,” Phys. Rev. A, vol. 74, p. 023809, 2006. 77
- Page 146 and 147: 2. Correlations and entanglement Si
- Page 148 and 149: 2. Correlations and entanglement ri
- Page 150 and 151: 3. Spatial correlations and OAM tra
- Page 152 and 153: 3. Spatial correlations and OAM tra
- Page 154 and 155: 3. Spatial correlations and OAM tra
- Page 157 and 158: CHAPTER 4 OAM transfer in noncollin
- Page 159 and 160: 4.2. Effect of the pump beam waist
- Page 161 and 162: 1.0 0.0 4.2. Effect of the pump bea
- Page 163 and 164: Coincidences 800 0 -4 4.2. Effect o
- Page 165 and 166: Weight 1 0 4.3. Effect of the Poynt
- Page 167 and 168: 4.3. Effect of the Poynting vector
- Page 169 and 170: Before the crystal 4.3. Effect of t
- Page 171 and 172: CHAPTER 5 Spatial correlations in R
- Page 173 and 174: x y z 5.1. The quantum state of Sto
- Page 175 and 176: where 5.2. Orbital angular momentum
- Page 177 and 178: weight 1 0.6 -180º -90º 0º 90º
- Page 179: 5.3. Spatial entanglement 5.20 is s
- Page 182 and 183: 6. Summary Experiments that explain
- Page 184 and 185: A. The matrix form of the mode func
- Page 186 and 187: A. The matrix form of the mode func
- Page 189 and 190: APPENDIX B Integrals of the matrix
- Page 191 and 192: APPENDIX C Methods for OAM measurem
- Page 193 and 194: Bibliography [1] M. A. Nielsen and
- Page 195: Bibliography [27] J. P. Torres, A.
Bibliography<br />
[41] C. I. Osorio, A. Valencia, and J. P. Torres, “Spatiotemporal correlations<br />
in entangled photons generated by spontaneous parametric down conversion,”<br />
New J. Phys., vol. 10, p. 113012, 2008.<br />
[42] J. Altepeter, E. Jeffrey, and P. Kwiat, “<strong>Photon</strong>ic state tomography,” in Advances<br />
in Atomic, Molecular and Optical Physics (P. Berman and C. Lin,<br />
eds.), vol. 52, p. 107, Elsevier, 2005.<br />
[43] T. A. Brun, “Measuring polynomial functions of states,” Quantum Inf.<br />
Comput., vol. 4, pp. 401–408, 2004.<br />
[44] R. B. A. Adamson, L. K. Shalm, and A. M. Steinberg, “Preparation of<br />
pure and mixed polarization qubits and the direct measurement of figures<br />
of merit,” Phys. Rev. A, vol. 75, p. 012104, 2007.<br />
[45] L. E. Vicent, A. B. U’Ren, C. I. Osorio, and J. P. Torres, “Design of bright,<br />
fiber-coupled and fully factorable photon pair sources,” To be submitted,<br />
2009.<br />
[46] T. Yarnall, A. F. Abouraddy, B. E. Saleh, and M. C. Teich, “<strong>Spatial</strong><br />
coherence effects on second- andfourth-order temporal interference,” Opt.<br />
Express, vol. 16, pp. 7634–7640, 2008.<br />
[47] M. P. van Exter, A. Aiello, S. S. R. Oemrawsingh, G. Nienhuis, and J. P.<br />
Woerdman, “Effect of spatial filtering on the schmidt decomposition of<br />
entangled photons,” Phys. Rev. A, vol. 74, p. 012309, 2006.<br />
[48] G. Adesso, A. Serafini, and F. Illuminati, “Determination of continuous<br />
variable entanglement by purity measurements,” Phys. Rev. Lett., vol. 92,<br />
p. 087901, 2004.<br />
[49] P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren,<br />
C. Silberhorn, and I. A. Walmsley, “Conditional preparation of single photons<br />
using parametric downconversion: a recipe for purity,” New J. Phys.,<br />
vol. 10, p. 093011, 2008.<br />
[50] A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and<br />
S. Schiller, “Quantum state reconstruction of the single-photon fock state,”<br />
Phys. Rev. Lett., vol. 87, p. 050402, 2001.<br />
[51] L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman,<br />
“Orbital angular momentum of light and the transformation of laguerregaussian<br />
laser modes,” Phys. Rev. A, vol. 45, pp. 8185–8189, 1992.<br />
[52] G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular<br />
momentum of light: Preparation of photons in multidimensional vector<br />
states of angular momentum,” Phys. Rev. Lett., vol. 88, p. 013601, 2001.<br />
[53] J. U. Kang, Y. J. Ding, W. K. Burns, and J. S. Melinger, “Backward<br />
second-harmonic generation in periodically poled bulk linbo3,” Opt. Lett.,<br />
vol. 22, pp. 862–864, 1997.<br />
[54] A. De Rossi and V. Berger, “Counterpropagating twin photons by parametric<br />
fluorescence,” Phys. Rev. Lett., vol. 88, p. 043901, 2002.<br />
76
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