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1

Kitaeva, G. Kh, and A. N. Penin. "Spontaneous parametric down-conversion." Journal of Experimental and Theoretical Physics Letters 82, no. 6 (September 2005): 350–55. http://dx.doi.org/10.1134/1.2137372.

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2

Couteau, Christophe. "Spontaneous parametric down-conversion." Contemporary Physics 59, no. 3 (July 3, 2018): 291–304. http://dx.doi.org/10.1080/00107514.2018.1488463.

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3

Lange, Nina Amelie, Jan Philipp Höpker, Raimund Ricken, Viktor Quiring, Christof Eigner, Christine Silberhorn, and Tim J. Bartley. "Cryogenic integrated spontaneous parametric down-conversion." Optica 9, no. 1 (January 14, 2022): 108. http://dx.doi.org/10.1364/optica.445576.

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4

Peřina, Jan, and Jaromír Křepelka. "Multimode description of spontaneous parametric down-conversion." Journal of Optics B: Quantum and Semiclassical Optics 7, no. 9 (August 2, 2005): 246–52. http://dx.doi.org/10.1088/1464-4266/7/9/003.

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5

Zhang, Chao, Yun‐Feng Huang, Bi‐Heng Liu, Chuan‐Feng Li, and Guang‐Can Guo. "Spontaneous Parametric Down‐Conversion Sources for Multiphoton Experiments." Advanced Quantum Technologies 4, no. 5 (March 22, 2021): 2000132. http://dx.doi.org/10.1002/qute.202000132.

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6

Spillane, Sean M., Marco Fiorentino, and Raymond G. Beausoleil. "Spontaneous parametric down conversion in a nanophotonic waveguide." Optics Express 15, no. 14 (2007): 8770. http://dx.doi.org/10.1364/oe.15.008770.

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7

Akatiev, Dmitrii, Kirill Boldyrev, Nikolai Kuzmin, Ilnur Latypov, Marina Popova, Andrey Shkalikov, and Alexey Kalachev. "Towards spontaneous parametric down-conversion at low temperatures." EPJ Web of Conferences 161 (2017): 02002. http://dx.doi.org/10.1051/epjconf/201716102002.

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8

Rubin, Morton H. "Transverse correlation in optical spontaneous parametric down-conversion." Physical Review A 54, no. 6 (December 1, 1996): 5349–60. http://dx.doi.org/10.1103/physreva.54.5349.

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9

Joshi, Amitabh, and Shoukry S. Hassan. "Spontaneous parametric down-conversion using a pulse train." Journal of Nonlinear Optical Physics & Materials 23, no. 03 (September 2014): 1450032. http://dx.doi.org/10.1142/s0218863514500325.

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The process of spontaneous parametric down-conversion (SPDC) is studied for the case in which the pump is a train of pulses. Effects of such a train of pulses (equivalent to a frequency comb) on degenerate collinear type-II SPDC and degenerate collinear type-I SPDC are analyzed using the probability of photon coincidence counts and compared with the case when the medium is pumped by a single pulse.
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10

Peng, Yu, Minghe Wu, Sheng Chen, and Zhibin Fan. "Discussion on Spontaneous Parametric Down-conversion (SPDC) Based on Parametric Oscillator Model." Journal of Physics: Conference Series 1838, no. 1 (March 1, 2021): 012066. http://dx.doi.org/10.1088/1742-6596/1838/1/012066.

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11

Levin, G. G., V. L. Lyaskovskiy, A. A. Samoylenko, and K. N. Minkov. "Spontaneous parametric down-conversion based tunable bi-photon source." Izmeritel`naya Tekhnika, no. 9 (2019): 22–26. http://dx.doi.org/10.32446/0368-1025it.2019-9-22-26.

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12

Ali, N., S. Soekardjo, S. Saharudin, and M. R. B. Wahiddin. "Quality of polarization entanglement in spontaneous parametric down conversion." EPJ Web of Conferences 162 (2017): 01033. http://dx.doi.org/10.1051/epjconf/201716201033.

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13

Atatüre, Mete, Alexander V. Sergienko, Bradley M. Jost, Bahaa E. A. Saleh, and Malvin C. Teich. "Partial Distinguishability in Femtosecond Optical Spontaneous Parametric Down-Conversion." Physical Review Letters 83, no. 7 (August 16, 1999): 1323–26. http://dx.doi.org/10.1103/physrevlett.83.1323.

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14

Saravi, Sina, Alexander N. Poddubny, Thomas Pertsch, Frank Setzpfandt, and Andrey A. Sukhorukov. "Atom-mediated spontaneous parametric down-conversion in periodic waveguides." Optics Letters 42, no. 22 (November 13, 2017): 4724. http://dx.doi.org/10.1364/ol.42.004724.

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15

Sánchez-Lozano, X., and J. L. Lucio M. "Spontaneous parametric down-conversion in chirped, aperiodically-poled crystals." International Journal of Quantum Information 13, no. 05 (August 2015): 1550032. http://dx.doi.org/10.1142/s021974991550032x.

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We present a theoretical analysis of the process of spontaneous parametric down conversion (SPDC) in a nonlinear crystal characterized by a linearly-chirped χ(2) grating along the direction of propagation. Our analysis leads to an expression for the joint spectral amplitude, based on which we can derive various spectral–temporal properties of the photon pairs and of the heralded single photons obtained from the photon pairs, including: The single-photon spectrum (SPS), the chronocyclic Wigner function (CWF) and the Schmidt number. The simulations that we present are for the specific case of a collinear SPDC source based on a PPLN crystal with the signal and idler photons emitted close to the telecom window. We discuss the mechanism for spectral broadening due to the presence of a linearly chirped χ(2) grating, showing that not only the width but also to some extent the shape of the SPDC spectrum may be controlled. Also, we discuss how the fact that the different spectral components are emitted on different planes in the crystal leads to single-photon chirp.
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16

Chrapkiewicz, Radosław, and Wojciech Wasilewski. "Multimode spontaneous parametric down-conversion in a lossy medium." Journal of Modern Optics 57, no. 5 (March 10, 2010): 345–55. http://dx.doi.org/10.1080/09500341003642588.

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17

Yun-Kun, Jiang, Shi Bao-Sen, Li Jian, Fan Xiao-Feng, and Guo Guang-Can. "Fourth-Order Interference in Femtosecond Spontaneous Parametric Down-Conversion." Chinese Physics Letters 17, no. 10 (October 1, 2000): 726–27. http://dx.doi.org/10.1088/0256-307x/17/10/009.

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18

Lerch, Stefan, Bänz Bessire, Christof Bernhard, Thomas Feurer, and André Stefanov. "Tuning curve of type-0 spontaneous parametric down-conversion." Journal of the Optical Society of America B 30, no. 4 (March 14, 2013): 953. http://dx.doi.org/10.1364/josab.30.000953.

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19

Brambilla, E., A. Gatti, L. A. Lugiato, and M. I. Kolobov. "Quantum structures in traveling-wave spontaneous parametric down-conversion." European Physical Journal D 15, no. 1 (July 2001): 127–35. http://dx.doi.org/10.1007/s100530170190.

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20

Lu Zong-Gui, Liu Hong-Jun, Jing Feng, Zhao Wei, Wang Yi-Shan, and Peng Zhi-Tao. "Theoretical analysis of spectral properties of parametric fluorescence via spontaneous parametric down-conversion." Acta Physica Sinica 58, no. 7 (2009): 4689. http://dx.doi.org/10.7498/aps.58.4689.

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21

Saerens, Grégoire, Ngoc My Hanh Duong, Alexander S. Solntsev, Artemios Karvounis, Thomas Dursap, Philippe Regreny, Andrea Morandi, et al. "Spontaneous Parametric Down-Conversion from GaAs Nanowires at Telecom Wavelength." EPJ Web of Conferences 266 (2022): 08010. http://dx.doi.org/10.1051/epjconf/202226608010.

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We report on the generation of photon pairs at 1550 nm from free-standing epitaxially grown self-assisted micrometre long GaAs nanowires. The efficiency of the spontaneous parametric down-conversion process has a rate of 320 GHz/Wm normalized to the transmission of the setup, the pump intensity, and the volume of the nanostructure. GaAs is a high index dielectric that can support electromagnetic Mie modes, therefore we model how shorter nanowires could improve the second-harmonic signal and we found that sub-micro long nanowires (600 nm length and 250 nm diameter) can support quality factors up to 15 at the pump wavelength (780 nm). We anticipate that the near field enhancement compared to micrometre long nanowires will boost the second-harmonic generation and, correspondingly, the biphoton rate efficiency.
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22

Menzel, Ralf, Axel Heuer, and Peter Milonni. "Entanglement, Complementarity, and Vacuum Fields in Spontaneous Parametric Down-Conversion." Atoms 7, no. 1 (February 19, 2019): 27. http://dx.doi.org/10.3390/atoms7010027.

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Using two crystals for spontaneous parametric down-conversion in a parallel setup, we observe two-photon interference with high visibility. The high visibility is consistent with complementarity and the absence of which-path information. The observations are explained as the effects of entanglement or equivalently in terms of interfering probability amplitudes and also by the calculation of a second-order field correlation function in the Heisenberg picture. The latter approach brings out explicitly the role of the vacuum fields in the down-conversion at the crystals and in the photon coincidence counting. For comparison, we show that the Hong–Ou–Mandel dip can be explained by the same approach in which the role of the vacuum signal and idler fields, as opposed to entanglement involving vacuum states, is emphasized. We discuss the fundamental limitations of a theory in which these vacuum fields are treated as classical, stochastic fields.
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23

Akbari, M., and A. A. Kalachev. "Third-order spontaneous parametric down-conversion in a ring microcavity." Laser Physics Letters 13, no. 11 (October 19, 2016): 115204. http://dx.doi.org/10.1088/1612-2011/13/11/115204.

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24

Ou-Yang, Yang, Zhao-Feng Feng, Lan Zhou, and Yu-Bo Sheng. "Linear-optical qubit amplification with spontaneous parametric down-conversion source." Laser Physics 26, no. 1 (November 23, 2015): 015204. http://dx.doi.org/10.1088/1054-660x/26/1/015204.

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25

Steuernagel, Ole, and Herschel Rabitz. "Spontaneous parametric down-conversion for an arbitrary monochromatic pump beam." Optics Communications 154, no. 5-6 (September 1998): 285–89. http://dx.doi.org/10.1016/s0030-4018(98)00319-8.

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26

Kong, Ling-Jun, Yu Si, Rui Liu, Zhou-Xiang Wang, Wen-Rong Qi, Chenghou Tu, Yongnan Li, and Hui-Tian Wang. "Robust Ghost Imaging Based on Degenerate Spontaneous Parametric Down-Conversion." Chinese Physics Letters 34, no. 5 (May 2017): 054206. http://dx.doi.org/10.1088/0256-307x/34/5/054206.

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27

Kitaeva, G. Kh, V. V. Tishkova, I. I. Naumova, A. N. Penin, C. H. Kang, and S. H. Tang. "Mapping of periodically poled crystals via spontaneous parametric down-conversion." Applied Physics B 81, no. 5 (August 18, 2005): 645–50. http://dx.doi.org/10.1007/s00340-005-1923-1.

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28

Liu, Xue-lin, Tong Xiang, and Xian-feng Chen. "Heralding Pure Single Photons Generated with Spontaneous Parametric Down Conversion." International Journal of Theoretical Physics 56, no. 9 (June 14, 2017): 2831–37. http://dx.doi.org/10.1007/s10773-017-3450-3.

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29

Jia, Kunpeng, Xiaohan Wang, Xinjie Lü, Ping Xu, Zhenlin Wang, Chee Wei Wong, Gang Zhao, Yan-Xiao Gong, Zhenda Xie, and Shining Zhu. "Robust second-order correlation of twin parametric beams generated by amplified spontaneous parametric down-conversion." Chinese Optics Letters 18, no. 12 (2020): 121902. http://dx.doi.org/10.3788/col202018.121902.

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30

Jin, Boyuan, Dhananjay Mishra, and Christos Argyropoulos. "Efficient single-photon pair generation by spontaneous parametric down-conversion in nonlinear plasmonic metasurfaces." Nanoscale 13, no. 47 (2021): 19903–14. http://dx.doi.org/10.1039/d1nr05379e.

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31

Kitaeva, Galiya Kh, and Vladimir V. Kornienko. "Strongly nondegenerate spontaneous parametric down-conversion for calibration of terahertz-wave detectors." International Journal of Quantum Information 15, no. 08 (December 2017): 1740024. http://dx.doi.org/10.1142/s021974991740024x.

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The impact of spatial limitation of the nonlinear interaction volume on the spontaneous parametric down-conversion spectra in a strongly nondegenerate regime is analyzed from the point of absolute calibration of the terahertz-wave nonlinear-optical detectors. We show that the idler wave angular resolution of the calibration method can be inherently low (about 1 to 10 degrees in lithium niobate crystals), and to fill all the input modes with external idler radiation, one has to take special care on geometry of the nonlinear interaction. Angular sensitivity distribution function is constructed, and a consecutive description is provided for both the parametric down-conversion and the external idler radiation detection processes.
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32

GAO Dong-yang, 高冬阳, 胡友勃 HU You-bo, 刘岩 LIU Yan, 夏茂鹏 XIA Mao-peng, 庞伟伟 PANG Wei-wei, 李健军 LI Jian-jun, and 郑小兵 ZHENG Xiao-bing. "Space Distribution of Type-Ι Spontaneous Parametric Down-conversion Spectra Circle." ACTA PHOTONICA SINICA 45, no. 3 (2016): 319001. http://dx.doi.org/10.3788/gzxb20164503.0319001.

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33

You-bo HU, 胡友勃, 高冬阳 Dong-yang GAO, 李健军 Jian-jun LI, and 郑小兵 Xiao-bing ZHENG. "Experimental Study of Radiometer Based on Spontaneous Parametric Down-conversion Calibration." ACTA PHOTONICA SINICA 49, no. 6 (2020): 630001. http://dx.doi.org/10.3788/gzxb20204906.0630001.

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34

Gao Dongyang, 高冬阳, 夏茂鹏 Xia Maopeng, 胡友勃 Hu Youbo, 刘岩 Liu Yan, 盛文阳 Sheng Wenyang, 李健军 Li Jianjun, and 郑小兵 Zheng Xiaobing. "Research on Broadband Spectrum Distribution Based on Spontaneous Parametric Down Conversion." Laser & Optoelectronics Progress 52, no. 5 (2015): 051902. http://dx.doi.org/10.3788/lop52.051902.

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35

Osorio, Clara I., Gabriel Molina-Terriza, Blanca G. Font, and Juan P. Torres. "Azimuthal distinguishability of entangled photons generated in spontaneous parametric down-conversion." Optics Express 15, no. 22 (October 22, 2007): 14636. http://dx.doi.org/10.1364/oe.15.014636.

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36

Huber, Tobias, Maximilian Prilmüller, Michael Sehner, Glenn S. Solomon, Ana Predojević, and Gregor Weihs. "Interfacing a quantum dot with a spontaneous parametric down-conversion source." Quantum Science and Technology 2, no. 3 (August 3, 2017): 034016. http://dx.doi.org/10.1088/2058-9565/aa7b65.

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37

Qi, Wen-Rong, Rui Liu, Ling-Jun Kong, Zhou-Xiang Wang, Shuang-Yin Huang, Chenghou Tu, Yongnan Li, and Hui-Tian Wang. "Pancharatnam–Berry geometric phase memory based on spontaneous parametric down-conversion." Optics Letters 45, no. 3 (January 28, 2020): 682. http://dx.doi.org/10.1364/ol.384363.

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38

Zhang, Shuai-Shuai, Qi Shu, Lan Zhou, and Yu-Bo Sheng. "Multi-copy entanglement purification with practical spontaneous parametric down conversion sources." Chinese Physics B 26, no. 6 (June 2017): 060307. http://dx.doi.org/10.1088/1674-1056/26/6/060307.

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39

Song Yuanyuan, 宋媛媛, 陈鼎 Chen Ding, and 丛爽 Cong Shuang. "Property of Entangled Photon Pairs Generated via Spontaneous Parametric Down Conversion." Laser & Optoelectronics Progress 56, no. 4 (2019): 043002. http://dx.doi.org/10.3788/lop56.043002.

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40

Kornienko, V. V., S. A. Germanskiy, G. Kh Kitaeva, and A. N. Penin. "Generation of optical-terahertz biphoton pairs via spontaneous parametric down-conversion." International Journal of Quantum Information 12, no. 07n08 (November 2014): 1560023. http://dx.doi.org/10.1142/s0219749915600230.

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We examine the features of parametric down-conversion for generating non-classical optical-terahertz biphoton fields. The calculations were performed for a second-order correlation function and noise reduction factor (NRF), which were selected as measures of non-classicality of the field states. NRF measurement schemes were found to be less advantageous. Overall system temperature at which non-classical effects are still observable has been estimated as about 10 K. The priority of the main complicating factors for the quantum-optical measurements in the terahertz range has been determined. Thus, the most important parameter is the temperature of the system, after that come the absorption losses at terahertz frequencies, and the parametric conversion efficiency has the lowest impact. Increasing the pump radiation power has been found to be inefficient for "noise" suppression in this case. The calculations performed were based on lithium niobate dispersion properties due to its outstanding nonlinear optical properties and because it is frequently used for optical-to-terahertz frequency conversion.
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41

Kalachev, A. A., and Yu Z. Fattakhova. "Generation of triphotons upon spontaneous parametric down-conversion in a resonator." Quantum Electronics 37, no. 12 (December 31, 2007): 1087–90. http://dx.doi.org/10.1070/qe2007v037n12abeh013671.

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42

Svozilík, Jiří, and Jan Peřina. "Higher-order stochastic quasi-phase-matching in spontaneous parametric down-conversion." Optics Communications 306 (October 2013): 113–16. http://dx.doi.org/10.1016/j.optcom.2013.05.044.

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43

Antonosyan, Diana A., Alexander S. Solntsev, and Andrey A. Sukhorukov. "Single-photon spontaneous parametric down-conversion in quadratic nonlinear waveguide arrays." Optics Communications 327 (September 2014): 22–26. http://dx.doi.org/10.1016/j.optcom.2014.02.047.

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44

Fedorov, M. V., P. A. Volkov, and J. M. Milhailova. "Qutrits and ququarts in spontaneous parametric down-conversion, correlations and entanglement." Journal of Experimental and Theoretical Physics 115, no. 1 (July 2012): 15–35. http://dx.doi.org/10.1134/s1063776112050020.

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45

Wu, Shuang, De-Jian Zhang, Huan Yang, Hai-Bo Wang, Jun Xiong, and Kaige Wang. "Quantum interference inside a nonlinear crystal with spontaneous parametric down-conversion." Optics Communications 463 (May 2020): 125379. http://dx.doi.org/10.1016/j.optcom.2020.125379.

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46

Petrov, M. I., A. A. Nikolaeva, K. S. Frizyuk, and N. A. Olekhno. "Second harmonic generation and spontaneous parametric down-conversion in Mie nanoresonators." Journal of Physics: Conference Series 1124 (December 2018): 051021. http://dx.doi.org/10.1088/1742-6596/1124/5/051021.

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47

Yun-Kun, Jiang, Shi Bao-Sen, Li Jian, Duan Kai-Min, Fan Xiao-Feng, and Guo Guang-Can. "Two-Photon Interference with the Type II Spontaneous Parametric Down-Conversion." Chinese Physics Letters 18, no. 1 (December 13, 2000): 45–47. http://dx.doi.org/10.1088/0256-307x/18/1/316.

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48

Osorio, Clara I., Alejandra Valencia, and Juan P. Torres. "Spatiotemporal correlations in entangled photons generated by spontaneous parametric down conversion." New Journal of Physics 10, no. 11 (November 10, 2008): 113012. http://dx.doi.org/10.1088/1367-2630/10/11/113012.

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49

Zhang, Meizhi, and Guangwen Huo. "Theoretical analysis of collinear spontaneous parametric down conversion properties in BiB3O6." Journal of Nonlinear Optical Physics & Materials 23, no. 02 (June 2014): 1450021. http://dx.doi.org/10.1142/s0218863514500210.

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In this paper, we report on the collinear spontaneous parametric down conversion (SPDC) with quantum theory in angle picture. Based on angle-dependent refractive index of biaxial crystal and the dielectric dispersion, we numerically simulate the effective nonlinear coefficients of BiB 3 O 6 (BIBO) crystal in principle planes. The results indicate that the most effective phase matching scheme is the type I in yz plane, while the secondary options are the type I, type II in xz plane. Considering the derivation of angular phase matching conditions, the calculation is convenient, and it is superior in determination of the spatial distribution of entangled photons.
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50

Schäfer, Marlon, Benjamin Kambs, Dennis Herrmann, Tobias Bauer, and Christoph Becher. "Two‐Stage, Low Noise Quantum Frequency Conversion of Single Photons from Silicon‐Vacancy Centers in Diamond to the Telecom C‐Band." Advanced Quantum Technologies, September 22, 2023. http://dx.doi.org/10.1002/qute.202300228.

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AbstractThe silicon‐vacancy center in diamond holds great promise as a qubit for quantum communication networks. However, since the optical transitions are located within the visible red spectral region, quantum frequency conversion to low‐loss telecommunication wavelengths becomes a necessity for its use in long‐range, fiber‐linked networks. This work presents a highly efficient, low‐noise quantum frequency conversion device for photons emitted by a silicon‐vacancy (SiV) center in diamond to the telecom C‐band. By using a two‐stage difference‐frequency mixing scheme, spontaneous parametric down‐conversion (SPDC) noise is circumvented and Raman noise is minimized, resulting in a very low noise rate of 10.4 ± 0.7 photons per second as well as an overall device efficiency of 35.6%. By converting single photons from SiV centers, it demonstrates the preservation of photon statistics upon conversion.
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