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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

References (52) Cited by (142) ↓ Similar articles (20)

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