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 (129) Similar articles (20)

  1. Einstein A, B Podolsky, and N Rosen Phys. Rev. 47 777 (1935); Russ. transl., Einstein A, B Podolsky, and N Rosen Usp. Fiz. Nauk 16 440 (1936)
  2. Bohr N Phys. Rev. 48 696 (1935)
  3. Bohm D Quantum Theory (Prentice-Hall, N.Y., 1951); Russ. transl., Bohm D Quantum Theory (Fizmatgiz, M.) Chap. 22 (1961)
  4. Mandel’shtam L I Lectures On Optics, Relativity, And Quantum Mechanics [in Russian] (Nauka, M., 1972) p. 364
  5. Blokhintsev D I The Philosophy Of Quantum Mechanics (Reidel, Dordrecht, 1968); Russ. original., Blokhintsev D I The Philosophy Of Quantum Mechanics (Nauka, M., 1966)
  6. Feynman R P, R B Leighton, and M Sands TheFeynman Lectureson Physics (Addison-Wesley, 1965); Russ. transl., Feynman R P, R B Leighton, and M Sands TheFeynman Lectureson Physics (Mir, M., 1967) p. 145
  7. Myakishev G Ya Dynamical And Statistical Relationships In Physics [in Russian] (Nauka, M., 1973)
  8. Spasski&ibreve; B I and A V Moskovski&ibreve; Usp. Fiz. Nauk 142 599 (1984); Spasski&ibreve; B I and A V Moskovski&ibreve; Sov. Phys. Usp. 27 273 (1984)
  9. Grib A A Sov. Phys. Usp. 27 619; Grib A A Sov. Phys. Usp. 27 284 (1984); Russ. transl., Fock V A Voprosy Filosofii (3) 46 (1971); Appendix to Russ. transl. of N. Bohr, Fock V A Scientific Papers (Nauka, M., 1971) p. 648, Vol. 2
  10. Freedman S J and J F Clauser Phys. Rev. Lett. 28 938 (1972)
  11. Clauser J F and A Shimoni Rep. Prog. Phys. 41 1881 (1978)
  12. Aspect A, J Dalibar, and G Roger Phys. Rev. Lett. 49 1804 (1982)
  13. Bell D J Physics 1 195 (1964); Clauser J F, M A Home, A Shimoni, and R A Holt Phys. Rev. Lett. 23 880 (1969)
  14. Glauber R J Phys. Rev. 131 2766 (1963); Glauber R J Optical Coherence And Photon Statistics, In Quantum Optics And Electronics, Lectures At The 1964 Les Houches Summer School Of Theoretical Physics (eds) C de Witt, A Blandin, and C Cohen-Tannoudji (Gordon and Breach, N.Y., 1965) p. 63–185; Russ. transl., Glauber R J Quantum Optics And Quantum Radiophysics (Mir, M., 1966) p. 91
  15. Klyshko D N Kvantovaya Elektron. (Moscow) 4 1056 (1977); Klyshko D N Sov. J. Quantum Electron. 7 591 (1977); Klyshko D N Sov. J. Quantum Electron. 7 1932 (1980); Klyshko D N Sov. J. Quantum Electron. 10 1112 (1980); Klyshko D N Zh.Eksp.Teor. Fiz. 90 1172 (1986); Klyshko D N Sov. Phys. JETP 63 682 (1986)
  16. Klyshko D N Photons And Nonlinear Optics [in Russian] (Nauka, M., 1980)
  17. Klyshko D N Zh. Eksp. Teor. Fiz. 83 1313 (1982); Klyshko D N Sov. Phys. JETP 56 753 (1982)
  18. Klyshko D N and A N Penin Usp. Fiz. Nauk 152 653 (1987); Klyshko D N and A N Penin Sov. Phys. Usp. 30 716 (1987)
  19. Mandel L J. Opt. Soc. Am. B 1 108 (1984)
  20. Hong C K, S R Friberg, and L Mandel Appl. Opt. 24 3877 (1985)
  21. Jakeman E and J G Rarity Opt. Commun. 59 219 (1986)
  22. Zel’dovich B Ya and D N Klyshko Pis’ma Zh. Eksp. Teor. Fiz. 9 69 (1969); Zel’dovich B Ya and D N Klyshko JETP Lett. 9 40 (1969)
  23. Mollow B R Phys. Rev. A 8 2684 (1973)
  24. Hong C K and L Mandel Phys. Rev. 31 2409 (1985)
  25. Burnham D C and D L Weinberg Phys. Rev. Lett. 25 84 (1970)
  26. Malygin A A, A N Penin, and A V Sergienko Pis’ma Zh. Eksp. Teor. Fiz. 33 493 (1981); Malygin A A, A N Penin, and A V Sergienko JETP Lett. 33 477 (1981)
  27. Hong C K and L Mandel Phys. Rev. Lett. 56 58 (1986)
  28. Petnikova V M Kvantovaya Elektron. (Moscow) 6 456 (1979); Petnikova V M Sov. J. Quantum Electron. 9 276 (1979)
  29. Abram I, R K Raj, J L Oudar, and G Dolique Phys. Rev. Lett. 57 2516 (1986)
  30. Zel’dovitch B Ya Zh. Eksp. Teor. Fiz. 58 1348 (1970); Zel’dovitch B Ya Sov. Phys. JETP 31 723 (1970)
  31. Berthelot A Nuovo Cimento B 57 193 (1980)
  32. Fock V A Usp. Fiz. Nauk 59 116 (1956)
  33. Aleksandrov A D Dokl. Akad. Nauk SSSR 84 253 (1952)
  34. Lomsadze Yu M and Sh Yu Lomsadze Izv. Vyssh. Uchebn. Zaved. Fiz. 25 ((2)) 13 (1982); Lomsadze Yu M and Sh Yu Lomsadze Sov. Phys. J. 25 92 (1982)
  35. De Beauregard O C Found. Phys. 15 871 (1985)
  36. Einstein A "Autobiographical Notes" Albert Einstein: Philosopher Scientist (ed) P. A. Schilpp (Harper and Brothers, N.Y., 1949); Russ. transl., Einstein A Usp. Fiz. Nauk 59 102 (1956)
  37. De Broglie L The Heisenberg Uncertainty Relations; Russian transl., De Broglie L The Heisenberg Uncertainty Relations (Mir, M., 1986) p. 178
  38. De Beauregard O C Nuovo Cimento B 42 41 (1977)
  39. Cramer J G Phys. Rev. D 22 362 (1980)
  40. Cramer J G Rev. Mod. Phys. 58 647 (1986)
  41. D’Espagnat B Sci. Am. 241 128 (1979)
  42. Mermin N D Phys. Today 38 ((4)) 38 (1985)
  43. Fock V A Usp. Fiz. Nauk 16 436 (1936)
  44. Cantrell C D and M O Scully Phys. Rep. 43 499 (1978)
  45. Bussey P J Phys. Lett. A 90 9 (1982)
  46. Stapp H P Am. J. Phys. 40 1098 (1972)
  47. Ballentine L E Rev. Mod. Phys. 42 358 (1970)
  48. Cyranski J F Found. Phys. 15 ((2)) 833
  49. Fock V A Usp. Fiz. Nauk 45 3 (1951)
  50. Alley C O and Y H Shih Proc. Second Intern. Symposium on Foundations of Quantum Mechanics ed by M Namuki et al (Tokyo, 1987) p. 36; Kleinpoppen H Proc. Second Intern. Symposium on Foundations of Quantum Mechanics ed by M Namuki et al (Tokyo, 1987) p. 59; Hong C K, Z Y Ou, and L Mandel Phys. Rev. Lett. 59 2044 (1987); Ghosh R and L Mandel Phys. Rev. Lett. 59 1903 (1987)
  51. Rarity J G, P R Topster, and E Jakeman Opt. Commun. 62 201 (1987)
  52. Ballentine L E Am. J. Phys. 55 785 (1987)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions