Issues

 / 

1988

 / 

January

  

Methodological notes


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.

Fulltext pdf (434 KB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (141) ↓ Similar articles (20)

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

© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions