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Postselective measurement of the electronic entanglement in the system of two Mach-Zehnder interferometers with coulomb interaction

JETP Letters volume 98, pages 507–513 (2013)Cite this article

Abstract

The parameters at which the maximally entangled two-particle state appears in the system of two ideal electronic Mach-Zehnder interferometers are known. In this work, the operation of nonideal devices with finite scattering in splitters and with reflection in the region of the Coulomb Interaction has been considered. It has been shown that, under the condition of postselection of experimental results, these factors can increase the observed Bell parameter to values exceeding Cirel’son’s (or Tsirelson’s) bound equal to 2√2 up to the mathematical limit equal to 4. A simple postselective measurement scheme providing B = 4 has been described. Although the results of such measurements are not as fundamental as the observation of the violation of Bell’s inequality, they can indirectly indicate the existence of an entangled state in the system. The measurement system is more stable against fluctuations of the phase than a system without postselection. Furthermore, it has been found that the proposed system is optimal for investigation of cross correlations between interferometers in the dc regime (beyond the paradigm of the violation of Bell’s inequality) because they cannot be generated by coordinated fluctuations of Aharonov-Bohm phases.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow region, 141700, Russia

    A. A. Vishnevyy & G. B. Lesovik

  2. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

    A. A. Vishnevyy & G. B. Lesovik

Authors
  1. A. A. Vishnevyy
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  2. G. B. Lesovik
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Correspondence to A. A. Vishnevyy.

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Original Russian Text © A.A. Vishnevyy, G.B. Lesovik, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 98, No. 8, pp. 565–572.

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Vishnevyy, A.A., Lesovik, G.B. Postselective measurement of the electronic entanglement in the system of two Mach-Zehnder interferometers with coulomb interaction. Jetp Lett. 98, 507–513 (2013). https://doi.org/10.1134/S0021364013210157

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  • DOI: https://doi.org/10.1134/S0021364013210157

Keywords

  • Entangle State
  • JETP Letter
  • Edge State
  • Zehnder Interferometer
  • Ideal Setup