The Einstein-Podolsky-Rosen paradox for energy-time variables

A new variant of the Einstein--Podolsky--Rosen experiment is discussed which illustrates the complementarity principle and the indeterminancy relations for the energy and the time of creation of photons emitted as correlated pairs in the decay of a metastable state of an atom or in parametric scattering of light. It is shown that it is not possible \emph{a priori} to ascribe to such photons a definite temporal structure; it acquires an operational meaning only after one of the photons of the pair is recorded by a detector with a definite frequency characteristic. A simple interpretation of the effect is possible by means of an advanced wave emitted by one of the detectors at the instant of the photon being recorded.

PACS: 03.65.Ud, 42.50.Ar, 42.50.Ct, 42.50.Md (all)
DOI: 10.1070/PU1989v032n06ABEH002730
URL: https://ufn.ru/en/articles/1989/6/f/
Citation: Klyshko D N "The Einstein-Podolsky-Rosen paradox for energy-time variables" Sov. Phys. Usp. 32 555–563 (1989)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Клышко Д Н «Парадокс Эйнштейна-Подольского-Розена для наблюдаемых „энергия-время“» УФН 158 327–341 (1989); DOI: 10.3367/UFNr.0158.198906g.0327

Cited by (16) Similar articles (20) ↓

D.N. Klyshko “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)
B.B. Kadomtsev “Irreversibility in quantum mechanics” Phys. Usp. 46 1183–1201 (2003)
A.V. Belinskii, A.S. Chirkin “Bernstein’s paradox of entangled quantum states” Phys. Usp. 56 1126–1131 (2013)
A.V. Belinskii “Bell’s paradoxes without the introduction of hidden variables” Phys. Usp. 37 413–419 (1994)
A.S. Trushechkin, E.O. Kiktenko et al “Security of the decoy state method for quantum key distribution” Phys. Usp. 64 88–102 (2021)
A.V. Belinskii “Bell’s theorem for trichotomic observables” Phys. Usp. 40 305–316 (1997)
M.B. Mensky “Measurability of quantum fields and the energy—time uncertainty relation” Phys. Usp. 54 519–528 (2011)
A.V. Belinsky, A.A. Klevtsov “Nonlocal classical "realism" and quantum superposition as the nonexistence of definite pre-measurement values of physical quantities” Phys. Usp. 61 313–319 (2018)
A.V. Belinsky “Wigner's friend paradox: does objective reality not exist?” Phys. Usp. 63 1256–1263 (2020)
V.P. Bykov “Basic properties of squeezed light” Sov. Phys. Usp. 34 (10) 910–924 (1991)
S.P. Vyatchanin, F.Ya. Khalili “’Interaction-free’ measurement: possibilities and limitations” Phys. Usp. 47 705–716 (2004)
V.P. Demutskii, R.V. Polovin “Conceptual problems in quantum mechanics” Sov. Phys. Usp. 35 (10) 857–896 (1992)
V.V. Mityugov “The tree of paradox” Phys. Usp. 36 (8) 744–753 (1993)
L.A. Apresyan, Yu.A. Kravtsov “Photometry and coherence: wave aspects of the theory of radiation transport” Sov. Phys. Usp. 27 301–313 (1984)
V.P. Bykov, A.V. Gerasimov, V.O. Turin “Coulomb disintegration of weak electron fluxes and the photocounts” Phys. Usp. 38 911–921 (1995)
A.B. Brailovskii, V.L. Vaks, V.V. Mityugov “Quantum models of relaxation” Phys. Usp. 39 745–750 (1996)
V.L. Gorshenin, B.N. Nougmanov, F.Ya. Khalili “On 'Schrödinger's cat' fringes” Phys. Usp. 67 938–942 (2024)
A.N. Oraevskii “Superluminal waves in amplifying media” Phys. Usp. 41 1199–1209 (1998)
S.V. Sazonov “Superluminal electromagnetic solitons in nonequilibrium media” Phys. Usp. 44 631–644 (2001)
D.E. Vakman, L.A. Vainshtein “Amplitude, phase, frequency—fundamental concepts of oscillation theory” Sov. Phys. Usp. 20 1002–1016 (1977)

The list is formed automatically.