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A simple method of preparing pure states of an optical field, of implementing the Einstein-Podolsky-Rosen experiment, and of demonstrating the complementarity principle


Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

A description is given of a device that periodically transforms a field from the vacuum state to a pure excited state that corresponds to the propagation of two correlated photons. It employs the phenomenon of parametric scattering, i.e., the emission of pairs of photons by a nonlinear crystal excited by a pulsed coherent pump under phase-matched conditions. In accordance with the well-known Einstein--Podolsky--Rosen gedanken experiment, the device can be used to observe the correlation of either the transverse momenta of the photons (when the two detectors are located in the far-field zone) or their transverse coordinates (when the detectors are in the near-field zone). The device may be of interest in photometry, and also from the methodological point of view as a clear demonstration of the EPR paradox and the complementarity of the transverse coordinate and momentum of a photon.

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Fulltext is also available at DOI: 10.1070/PU1988v031n01ABEH002537
PACS: 42.50.Dv, 42.79.Pw (all)
DOI: 10.1070/PU1988v031n01ABEH002537
URL: https://ufn.ru/en/articles/1988/1/f/
Citation: Klyshko D N "A simple method of preparing pure states of an optical field, of implementing the Einstein-Podolsky-Rosen experiment, and of demonstrating the complementarity principle" Sov. Phys. Usp. 31 74–85 (1988)
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Оригинал: Клышко Д Н «Простой метод приготовления чистых состояний оптического поля, реализации эксперимента Эйнштейна, Подольского, Розена и демонстрации принципа дополнительности» УФН 154 133–152 (1988); DOI: 10.3367/UFNr.0154.198801e.0133

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  1. Khan Sh, Shyu M-L et al 2026 IEEE International Conference on Information Reuse and Integration for Data Science (IRI), (2026) p. 183
  2. Deng X, Zhao Y et al Photon. Res. 14 (4) 980 (2026)
  3. Yan Yu, Li J et al Photonics Insights 5 (2) R08 (2026)
  4. Mirzaei Sh, Naeimi G, Saeidian Sh Opt. Continuum 5 (5) 1484 (2026)
  5. Pearce E, Nothlawala F et al Nat Rev Methods Primers 6 (1) (2026)
  6. Prokhorov A V, Gubin M Yu et al Phys. Rev. Research 8 (2) (2026)
  7. Zheng Y, Gong Yu et al Advanced Imaging 3 (4) B00003 (2026)
  8. Arlt Sören, Krenn M, Gu X Phys. Rev. Research 8 (2) (2026)
  9. Li Y, Xiong Ya et al Optics And Lasers In Engineering 206 110015 (2026)
  10. Tian T, Oh S, Spielmann Ch Vicinagearth 2 (1) (2025)
  11. Zhang X, Zhang Zh, Dong H Phys. Rev. Lett. 134 (24) (2025)
  12. Li X, Wei Sh-H et al Applied Physics Reviews 12 (4) (2025)
  13. Shekel R, Popoff Sébastien M, Bromberg Ya APL Photonics 10 (11) (2025)
  14. Galvez E J, Ju Y Ch et al Opt. Express 33 (24) 51142 (2025)
  15. Hou W, He R-J et al Photon. Res. 13 (8) 2073 (2025)
  16. Zheng Y, Xu J-Sh et al Phys. Rev. A 112 (3) (2025)
  17. Luo X, Wang S et al Photonics Insights 4 (2) R03 (2025)
  18. Ye Zh, Hou W et al Laser & Photonics Reviews 19 (6) (2025)
  19. Alodjants A P, Tsarev D V et al ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 194 (07) 711 (2024) [Alodjants A P, Tsarev D V et al Phys. Usp. 67 (07) 668 (2024)]
  20. Sun M-J Coded Optical Imaging Chapter 8 (2024) p. 131
  21. Shekel R, Lib O, Bromberg Ya Optica Quantum 2 (5) 303 (2024)
  22. Zheng Y, Xu J-Sh et al Phys. Rev. A 110 (6) (2024)
  23. Paniate A, Massaro G et al Phys. Rev. Applied 21 (2) (2024)
  24. Moodley Chané, Forbes A Laser & Photonics Reviews 18 (8) (2024)
  25. Strigin M B Ch’?’?’?’?’?’? ’? ’?у’?ьтур’? (6) 170 (2024)
  26. Karmakar S, Goodrich Ju et al CLEO 2024, (2024) p. JTu2A.183
  27. Fedorov A K, Kiktenko E O et al ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 193 (11) 1162 (2023) [Fedorov A K, Kiktenko E O et al Phys. Usp. 66 (11) 1095 (2023)]
  28. Machavariani A Quantum Entanglement in High Energy Physics Chapter 13 (2023)
  29. Gili V F, Dupish D et al Appl. Opt. 62 (12) 3093 (2023)
  30. Wittkop M, Marmolejo-Tejada Ju M, Mosquera Mart?en A Organic Electronics 120 106858 (2023)
  31. Moodley Chané, Forbes A J. Opt. Soc. Am. B 40 (12) 3073 (2023)
  32. Nape I, Sephton B et al APL Photonics 8 (5) (2023)
  33. Kai-ge WANG 汪凯戈 量?eB光?e??e?报 29 (3) 030102 (2023)
  34. Schaffer K, Lemos G B Trends and Challenges in Cognitive Modeling STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health Chapter 9 (2023) p. 113
  35. Sun Zh, Tian T et al Chin. Opt. Lett. 21 (8) 081101 (2023)
  36. Cao D-Zh, Zhang X-Zh et al Phys. Rev. A 107 (2) (2023)
  37. Trenkwalder L M, López-Incera Andrea et al Mach. Learn.: Sci. Technol. 4 (3) 035043 (2023)
  38. Chang Ch, Sun Sh et al Acta Phys. Sin. 72 (18) 183301 (2023)
  39. Gieysztor M, Nepinak J et al Opt. Express 31 (13) 20629 (2023)
  40. Gili V F, Piccinini C et al Applied Physics Letters 121 (10) (2022)
  41. Xiong J, Zheng P et al Phys. Rev. Applied 18 (3) (2022)
  42. Balakin D A, Belinsky A V Quantum Inf Process 21 (7) (2022)
  43. Lib O, Bromberg Ya APL Photonics 7 (3) (2022)
  44. He Yu, Zhou Yu et al J. Opt. Soc. Am. B 39 (11) 3100 (2022)
  45. Dogra Sh, McCord J J, Paraoanu G S Nat Commun 13 (1) (2022)
  46. Friederich P, Krenn M et al Mach. Learn.: Sci. Technol. 2 (2) 025027 (2021)
  47. Lib O, Bromberg Ya Conference on Lasers and Electro-Optics, (2021) p. JTh3A.20
  48. Liu D, Tian M et al Phys. Rev. Applied 16 (6) (2021)
  49. Yu W-K, Leng J Physics Letters A 384 (30) 126778 (2020)
  50. Valencia N H, Goel S et al Nat. Phys. 16 (11) 1112 (2020)
  51. Otte E, Nape I et al J. Opt. Soc. Am. B 37 (11) A309 (2020)
  52. Roux F S Phys. Rev. Research 2 (3) (2020)
  53. Progress In Optics Vol. A Tribute to Emil WolfApplications of optical coherence theory65 (2020) p. 43
  54. Liu Sh, Zhang Y et al Phys. Rev. A 101 (5) (2020)
  55. Belinsky A V ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 190 (12) 1335 (2020) [Belinsky A V Phys.-Usp. 63 (12) 1256 (2020)]
  56. Ribeiro P H S, H?sffner T et al Phys. Rev. A 101 (5) (2020)
  57. Sun J, Peng M et al Complexity 2020 1 (2020)
  58. Cerf N J, Jabbour M G Proc. Natl. Acad. Sci. U.S.A. 117 (52) 33107 (2020)
  59. Moreau P-A, Toninelli E et al Nat Rev Phys 1 (6) 367 (2019)
  60. Toninelli E, Ndagano B et al Adv. Opt. Photon. 11 (1) 67 (2019)
  61. Konrad T, Forbes A Contemporary Physics 60 (1) 1 (2019)
  62. Moreau P-A, Toninelli E et al Sci. Adv. 5 (7) (2019)
  63. Ibarra-Borja Z, Sevilla-Gutiérrez Carlos et al Opt. Express 27 (18) 25228 (2019)
  64. Aidukas T, Konda P Ch et al Sci Rep 9 (1) (2019)
  65. Hoenders B J Advances In Imaging And Electron Physics Vol. 208 (2018) p. 1
  66. Arruda M F Z, Soares W C et al Phys. Rev. A 98 (2) (2018)
  67. Gantsevich S V, Gurevich V L Phys. Solid State 60 (1) 1 (2018)
  68. Moreau Paul??BAntoine, Toninelli E et al Laser & Photonics Reviews 12 (1) (2018)
  69. Melnikov A A, Poulsen N H et al Proc. Natl. Acad. Sci. U.S.A. 115 (6) 1221 (2018)
  70. Moreau P-A, Toninelli E et al Opt. Express 26 (6) 7528 (2018)
  71. Li Zh, Medvedev N et al J. Phys. B: At. Mol. Opt. Phys. 51 (2) 025503 (2018)
  72. Li H-x, Bai Ya-f et al Chinese Phys. B 26 (10) 104204 (2017)
  73. Sych D, Averchenko V, Leuchs G Phys. Rev. A 96 (5) (2017)
  74. Speirits F C, Sonnleitner M, Barnett S M J. Opt. 19 (4) 044001 (2017)
  75. Ryczkowski P, Barbier M et al APL Photonics 2 (4) 046102 (2017)
  76. McLaren M, Forbes A J. Opt. 19 (4) 044006 (2017)
  77. Krenn M, Malik M et al Optics in Our Time Chapter 18 (2016) p. 455
  78. Ghalaii M, Afsary M et al Phys. Rev. A 94 (4) (2016)
  79. Ryczkowski P, Barbier M et al Nature Photon 10 (3) 167 (2016)
  80. Zhong M, Xu P et al Sci. China Phys. Mech. Astron. 59 (7) (2016)
  81. Siddiqui M A, Qureshi T Quantum Stud.: Math. Found. 3 (1) 115 (2016)
  82. Aspden R S, Morris P A et al J. Opt. 18 (5) 055204 (2016)
  83. (Quantum Information and Computation XIII) Vol. Quantum Information and Computation XIIIConsiderations on collapse of the wavefunctionEricDonkorAndrew R.PirichMichaelHaydukJ.ReintjesMarkBashkansky9500 (2015) p. 95000U
  84. Siddiqui M A Int. J. Quantum Inform. 13 (03) 1550022 (2015)
  85. Li D, Li X et al IEEE Trans. Geosci. Remote Sensing 52 (4) 2261 (2014)
  86. Zhang Y, Mclaren M et al Opt. Express 22 (14) 17039 (2014)
  87. (Complex Light and Optical Forces VIII) Vol. Complex Light and Optical Forces VIIIEncoding mutually unbiased bases in orbital angular momentum for quantum key distributionDavid L.AndrewsEnrique J.GalvezJesperGlückstadA.DudleyM.MafuS.GoyalD.GiovanniniM.McLarenT.KonradM. J.PadgettF.PetruccioneN.LütkenhausA.Forbes8999 (2014) p. 89991I
  88. Belinsky A V, Shulman M Kh ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 184 (10) 1135 (2014) [Belinsky A V, Shulman M Kh Phys.-Usp. 57 (10) 1022 (2014)]
  89. McLaren M, Mhlanga T et al Nat Commun 5 (1) (2014)
  90. D’Angelo M, Garuccio A et al Springer Proceedings In Physics Vol. Frontiers of Fundamental Physics and Physics Education ResearchToward ??aGhost Imaging??v with Cosmic Ray Muons145 Chapter 24 (2014) p. 237
  91. Barnett S M Quantum Information and Coherence Chapter 1 (2014) p. 1
  92. Aspden R S, Tasca D S et al Journal Of Modern Optics 61 (7) 547 (2014)
  93. Mafu M, Dudley A et al Phys. Rev. A 88 (3) (2013)
  94. Belinskii A V, Chirkin A S ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 183 (11) 1231 (2013) [Belinsky A V, Chirkin A S Phys.-Usp. 56 (11) 1126 (2013)]
  95. McLaren M, Romero Ja et al Phys. Rev. A 88 (3) (2013)
  96. Xu D-Q, Song X-B et al Optics Communications 309 298 (2013)
  97. Romero J, Giovannini D et al Phys. Rev. A 86 (1) (2012)
  98. Shih Ya Classical, Semi-classical and Quantum Noise Chapter 14 (2012) p. 169
  99. Shih Ya Quantum Inf Process 11 (4) 995 (2012)
  100. Liu Y-Ch, Kuang L-M Phys. Rev. A 83 (5) (2011)
  101. Walborn S P, Souto R P H, Monken C H Opt. Express 19 (18) 17308 (2011)
  102. Chan K W C, Simon D S et al Phys. Rev. A 84 (4) (2011)
  103. Luo K-H, Chen X-H et al Phys. Rev. A 82 (3) (2010)
  104. Qian L, Kai-Hong L et al Chinese Phys. B 19 (9) 094211 (2010)
  105. Karmakar S, Shih Ya Phys. Rev. A 81 (3) (2010)
  106. Karmakar S, Shih Ya Frontiers in Optics 2010/Laser Science XXVI, (2010) p. PDPC8
  107. Lvovsky A I, Raymer M G Rev. Mod. Phys. 81 (1) 299 (2009)
  108. Luo K-H, Wen J et al Phys. Rev. A 80 (4) (2009)
  109. Shih Ya The Western Ontario Series In Philosophy Of Science Vol. Quantum Reality, Relativistic Causality, and Closing the Epistemic CircleThe Physics of 2 ??i 1+173 Chapter 11 (2009) p. 157
  110. Meyers R, Deacon K S, Shih Ya Phys. Rev. A 77 (4) (2008)
  111. Shih Ya Front. Phys. China 2 (2) 125 (2007)
  112. Shih Ya IEEE J. Select. Topics Quantum Electron. 13 (4) 1016 (2007)
  113. Wen J, Rubin M H, Shih Ya Phys. Rev. A 76 (4) (2007)
  114. Kolchin P Phys. Rev. A 75 (3) (2007)
  115. Wen J, Xu P et al Phys. Rev. A 76 (2) (2007)
  116. Wen J, Du Sh, Rubin M H Phys. Rev. A 76 (1) (2007)
  117. Meyers R, Deacon K, Shih Ya Journal Of Modern Optics 54 (16-17) 2381 (2007)
  118. Basano L, Ottonello P American Journal of Physics 75 (4) 343 (2007)
  119. Shih Ya 2007 Conference on Lasers and Electro-Optics - Pacific Rim, (2007) p. 1
  120. Shih Ya International Conference on Quantum Information, (2007) p. IFH1
  121. Shih Ya Frontiers in Optics 2007/Laser Science XXIII/Organic Materials and Devices for Displays and Energy Conversion, (2007) p. FTuI3
  122. Basano L, Ottonello P Applied Physics Letters 89 (9) (2006)
  123. Belinskii A V, Isaeva A V et al Uspekhi Fizicheskikh Nauk 176 (5) 543 (2006)
  124. Erkmen B I, Shapiro Je H Phys. Rev. A 74 (4) (2006)
  125. D’Angelo M, Shih Y H Laser Phys. Lett. 2 (12) 567 (2005)
  126. Abouraddy A F, Stone P R et al Phys. Rev. Lett. 93 (21) (2004)
  127. Abouraddy A F, Toussaint, Jr Kimani C et al J. Opt. Soc. Am. B 19 (4) 656 (2002)
  128. Abouraddy A F, Nasr M B et al Phys. Rev. A 65 (5) (2002)
  129. Crispino M, Di Giuseppe G et al Fortschr. Phys. 48 (5-7) 589 (2000)
  130. Burlakov A V, Kulik S P et al J. Exp. Theor. Phys. 86 (6) 1090 (1998)
  131. Strekalov D V, Shih Y H Phys. Rev. A 56 (4) 3129 (1997)
  132. Burlakov A V, Chekhova M V et al Phys. Rev. A 56 (4) 3214 (1997)
  133. Moiseev S A Hyperfine Interactions 107 (1-4) 345 (1997)
  134. Rubin M H Phys. Rev. A 54 (6) 5349 (1996)
  135. SHIH Y H, SERGIENKO A V et al Annals Of The New York Academy Of Sciences 755 (1) 121 (1995)
  136. Pittman T B, Shih Y H et al Phys. Rev. A 52 (5) R3429 (1995)
  137. KLYSHKO D N Annals Of The New York Academy Of Sciences 755 (1) 13 (1995)
  138. Delone N B, Krainov V P Multiphoton Processes in Atoms Chapter 11 (1994) p. 291
  139. Klyshko D N Physics Letters A 163 (5-6) 349 (1992)
  140. Demutskii V P, Polovin R V ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 162 (10) 93 (1992)
  141. Klyshko D N Physics Letters A 154 (9) 433 (1991)
  142. Karasev V P J Russ Laser Res 12 (2) 147 (1991)
  143. Karasev V P J Russ Laser Res 12 (5) 431 (1991)
  144. Klyshko D N Physics Letters A 146 (3) 93 (1990)
  145. Klyshko D N Physics Letters A 137 (7-8) 334 (1989)
  146. Klyshko D N Physics Letters A 128 (3-4) 133 (1988)
  147. Klyshko D N Physics Letters A 132 (6-7) 299 (1988)
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