Bohm’s variation of the Einstein-Podolsky-Rosen thought experiment may reveal the path a photon travels in Young’s experiment without causing the interference pattern to disappear. Unlike in Young’s original experiment, this hypothetical scenario involves entangled photons incident on a screen with two closely spaced narrow slits. To address the challenge of simultaneously observing both the wave and particle nature of light without violating Heisenberg’s position-momentum uncertainty principle, an apparatus that relies on the conservation of linear momentum and quantum entanglement is constructed to indirectly observe the path traveled by the entangled photons while preserving their quantum superposition. This thought experiment effectively uncovers the complex mystery surrounding the wave-particle duality inherent in quantum phenomena.
References
[1]
Heisenberg, W. (1925) Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen.. ZeitschriftfürPhysik, 33, 879-893. https://doi.org/10.1007/bf01328377
[2]
Born, M. and Jordan, P. (1925) Zur Quantenmechanik. Zeitschrift für Physik, 34, 858-888. https://doi.org/10.1007/bf01328531
[3]
Schrödinger, E. (1926) Quantisierung als Eigenwertproblem. Annalen der Physik, 384, 361-376. https://doi.org/10.1002/andp.19263840404
[4]
De Broglie, L. (1925) Recherches sur la théorie des Quanta. Annales de Physique, 10, 22-128. https://doi.org/10.1051/anphys/192510030022
[5]
Nash, L. (2022) On the Dynamics of Euclidean Space-Time at the Planck Scale. ReportsinAdvancesofPhysicalSciences, 6, Article ID: 2250002. https://doi.org/10.1142/s2424942422500025
[6]
Feynman, R., Leighton, R. and Sands, M. (1963) The Feynman Lectures on Physics. Addison-Wesley.
[7]
Young, T. and Young, T. (1807) A Course of Lectures on Natural Philosophy and the Mechanical Arts. Joseph Johnson. https://doi.org/10.5962/bhl.title.22458
[8]
Schrüdinger, E. (1935) Die gegenwärtige Situation in der Quantenmechanik. Die Naturwissenschaften, 23, 807-812. https://doi.org/10.1007/bf01491891
[9]
Einstein, A., Podolsky, B. and Rosen, N. (1935) Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review, 47, 777-780. https://doi.org/10.1103/physrev.47.777
[10]
Bohm, D. (1951) Quantum Theory. Prentice-Hall.
[11]
Kaur, M. and Singh, M. (2020) Quantum Double-Double-Slit Experiment with Momentum Entangled Photons. ScientificReports, 10, Article No. 11427. https://doi.org/10.1038/s41598-020-68181-1
[12]
Allen, L., Barnett, S. and Padgett, M. (2020) Optical Angular Momentum. CRC Press.
[13]
Taylor, G.I. (1909) Interference Fringes with Feeble Light. Mathematical Proceedings of the Cambridge Philosophical Society, 15, 114-115.
[14]
Dirac, P.A.M. (1958) The Principles of Quantum Mechanics. 4th Edition, Oxford University Press.
[15]
Shih, Y.H. and Alley, C.O. (1988) New Type of Einstein-Podolsky-Rosen-Bohm Experiment Using Pairs of Light Quanta Produced by Optical Parametric down Conversion. PhysicalReviewLetters, 61, 2921-2924. https://doi.org/10.1103/physrevlett.61.2921
[16]
Costa, G. (2003) Entanglement and Non-Separability in Quantum Mechanics. In: Di Bartolo, B., Ed., Spectroscopy of Systems with Spatially Confined Structures, Springer, 593-606. https://doi.org/10.1007/978-94-010-0287-5_18
[17]
Hessmo, B., Mitchell, M.W. and Walther, P. (2004) Entangled Photons Show Interference and Bilocation. CERN Courier.
[18]
Rabinowitz, M. (1995) Examination of Wave-Particle Duality via Two-Slit Interference. ModernPhysicsLettersB, 9, 763-789. https://doi.org/10.1142/s0217984995000711
[19]
Scully, M.O., Englert, B. and Walther, H. (1991) Quantum Optical Tests of Complementarity. Nature, 351, 111-116. https://doi.org/10.1038/351111a0
[20]
Walborn, S.P., Terra Cunha, M.O., Pádua, S. and Monken, C.H. (2002) Double-Slit Quantum Eraser. PhysicalReviewA, 65, Article ID: 033818. https://doi.org/10.1103/physreva.65.033818
[21]
Fine, A. (1974) On the Completeness of Quantum Theory. Synthese, 29, 257-289. https://doi.org/10.1007/bf00484961
[22]
Cowen, R. (2015) The Quantum Source of Space-Time. Nature, 527, 290-293. https://doi.org/10.1038/527290a
[23]
Hawking, S. (2007) A Stubbornly Persistent Illusion: The Essential Scientific Works of Albert Einstein. Running Press.
