Spatial Characterization Of Two-Photon States - GAP-Optique
Spatial Characterization Of Two-Photon States - GAP-Optique Spatial Characterization Of Two-Photon States - GAP-Optique
Introduction the transfer of oam from the generating pump beam to the down-converted photons. Several studies have reported a compleate transfer of the oam of the pump [7, 8, 22, 27, 28, 29], while other studies have reported a partial transfer [30, 31, 32, 33]. The elucidation of the oam spectra of down-converted photons, and their relation with the spectra of the pump, is a key step for developing new applications based on this degree of freedom. This thesis addresses the mentioned oam controversy, as well as the characterization of the different correlations present in two-photon states. For both processes, spdc and Raman transitions in cold atoms, this thesis describes the generated two-photon state, the correlations between different degrees of freedom and between photons, and the oam transfer. A general goal of the thesis is to contribute to the characterization of the two-photon sources, making it possible to exploit a bigger portion of the total quantum state of the light in future applications. xvi
This thesis is based on the following papers: List of Publications Orbital angular momentum correlations of entangled paired photons. C. I. Osorio, G. Molina-Terriza, J. P. Torres. J. Opt. A: Pure Appl. Opt. 11, 094013 (2009). Chapters 3 and 5 Spatial entanglement of paired photons generated in cold atomic ensembles C. I. Osorio, S. Barreiro, M. W. Mitchell, and J. P. Torres. Phys. Rev. A 78, 052301 (2008). arXiv:0804.3257v2 [quant-ph]. Chapter 5 Spatiotemporal correlations in entangled photons generated by spontaneous parametric down conversion. C. I. Osorio, A. Valencia, and J. P. Torres. New J. Phys. 10, 113012 (2008). arXiv:0804.2425v2 [quant-ph]. Chapters 1 and 2 Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric downconversion. C. I. Osorio, G. Molina-Terriza, and J. P. Torres. Phys. Rev. A 77, 015810 (2008). arXiv:0711.4500v1 [quant-ph]. Chapters 3 Azimuthal distinguishability of entangled photons generated in spontaneous parametric down-conversion. C. I. Osorio, G. Molina-Terriza, B. Font, and J. P. Torres. Opt. Express 15, 14636 (2007). arXiv:0709.3437v1 [quant-ph]. Chapter 4 Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down-conversion. G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, and J. P. Torres. Phys. Rev. A 72, 065802 (2005). arXiv:quant-ph/0508058v1. Chapter 4 Orbital angular momentum of entangled counterpropagating photons. J. P. Torres, C. I. Osorio, and L. Torner. Opt. Lett. 29, 1939 (2004). Chapters 3 and 4 xvii
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- 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 ⎛
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- Page 92 and 93: C. Methods for OAM measurements Inp
- Page 94 and 95: Bibliography [13] M. Barbieri, C. C
- Page 96 and 97: Bibliography [41] C. I. Osorio, A.
- Page 98: Bibliography [68] S. Chen, Y.-A. Ch
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- 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 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
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- Page 138 and 139: 2. Correlations and entanglement ch
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- Page 142 and 143: 2. Correlations and entanglement Fi
- Page 144 and 145: 2. Correlations and entanglement q
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Introduction<br />
the transfer of oam from the generating pump beam to the down-converted<br />
photons. Several studies have reported a compleate transfer of the oam of the<br />
pump [7, 8, 22, 27, 28, 29], while other studies have reported a partial transfer<br />
[30, 31, 32, 33]. The elucidation of the oam spectra of down-converted photons,<br />
and their relation with the spectra of the pump, is a key step for developing<br />
new applications based on this degree of freedom.<br />
This thesis addresses the mentioned oam controversy, as well as the characterization<br />
of the different correlations present in two-photon states. For both<br />
processes, spdc and Raman transitions in cold atoms, this thesis describes the<br />
generated two-photon state, the correlations between different degrees of freedom<br />
and between photons, and the oam transfer. A general goal of the thesis<br />
is to contribute to the characterization of the two-photon sources, making it<br />
possible to exploit a bigger portion of the total quantum state of the light in<br />
future applications.<br />
xvi
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