Abstract
A variant of the experiment to observe the optical Aharonov—Bohm effect has been discussed. In the experiment, a unipolar subcycle light pulse has been proposed as a source of the vector potential acting on electrons and having zero electric field strength in the region of a nonzero vector potential. Such a relation between the field and potential appears because the unipolar pulse has a nonzero electric area. An unusual situation where the fact of the passage of the pulse in one of the arms of two-beam interferometer is stored for a very long time after the passage and can be recorded in a two-beam electronic interferometer by a shift of fringes has been discussed. Detailed analysis of the phase shift under the influence of the vector potential created by the inhomogeneous unipolar pulse removes this contradiction and shows the equality of phase incursions in both arms that is unobvious at first glance.
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References
Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
M. Peshkin, in The Aharonov—Bohm Effect (Springer, Berlin, Heidelberg, 1989), p. 1.
A. Tonomura, in The Aharonov—Bohm Effect (Springer, Berlin, Heidelberg, 1989), p. 35.
R. Feynman, R. Leighton, and M. Sands, The Feynman Lectures on Physics. Electrodynamics (Addison-Wesley, Massachusetts, Palo Alto, London, 1964), Vol. 2.
J. Earman, Synthese 196, 1991 (2019).
R. M. Arkhipov, A. V. Pakhomov, M. V. Arkhipov, I. Babushkin, Yu. A. Tolmachev, and N. N. Rosanov, JETP Lett. 105, 408 (2017).
R. M. Arkhipov, M. V. Arkhipov, A. A. Shimko, A. V. Pakhomov, and N. N. Rosanov, JETP Lett. 110, 5 (2019).
N. N. Rosanov, R. M. Arkhipov, and M. V. Arkhipov, Phys. Usp. 61, 1227 (2018).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields. (Fizmatlit, Moscow, 2001; Pergamon, New York, 1975).
M. J. Arman and C. Chase, US Patent No. 8389948 (2013).
A. Tonomura, J. Phys. A: Math. Theor. 43, 354021 (2010).
Funding
This work was supported by the Russian Foundation for Basic Research (project nos. 20-32-70049 and 19-02-00312). M.V. Arkhipov acknowledges the support of the Russian Foundation for Basic Research (project no. 20-02-00872 A).
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Russian Text © The Author(s), 2020, published in Pis’ma vZhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 111, No. 12, pp. 794–797.
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Arkhipov, M.V., Arkhipov, R.M. & Rosanov, N.N. Optical Aharonov—Bohm Effect. Jetp Lett. 111, 668–671 (2020). https://doi.org/10.1134/S002136402012005X
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DOI: https://doi.org/10.1134/S002136402012005X