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Scattering-induced quantum correlation in electronic waveguides with static magnetic impurities

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Abstract

Entanglement generation due to low-energy scattering of the transporting electrons in an electronic waveguide by a quantum dot magnetic impurity is theoretically investigated. The transverse confining potential of the waveguide is considered as a two-dimensional harmonic potential, and the interaction of the electron with the impurity is described by a zero-range pseudopotential modulated by an Ising or a Heisenberg spin interaction. Our calculation shows that the scattering process leads to creation of a considerable amount of entanglement in the state of the reflected and transmitted electrons. The situation is extended to the scattering of the electrons by two well-separated magnetic impurities localized on the nanowire axis. It is shown that the scattering process causes the magnetic impurities embedded in the nanowire to share their quantum information; subsequently, they can be entangled by spin interaction with the injected electron. The created entanglement between the impurities is calculated and discussed. It is shown that the exact three-dimensional problem can be approximated as a one-dimensional problem under certain circumstances. The approximate results are compared to exact calculations and discussed.

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Acknowledgments

Z. Alami and M. Sheikhali would like to acknowledge the office of graduate studies at the University of Isfahan for their support and research facilities.

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, University of Isfahan, Isfahan, 81746-73441, Iran

    E. Ghanbari-Adivi, M. Soltani, Z. Alami & M. Sheikhali

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  1. E. Ghanbari-Adivi
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  2. M. Soltani
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  3. Z. Alami
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  4. M. Sheikhali
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Correspondence to E. Ghanbari-Adivi.

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Ghanbari-Adivi, E., Soltani, M., Alami, Z. et al. Scattering-induced quantum correlation in electronic waveguides with static magnetic impurities. Quantum Inf Process 15, 4219–4236 (2016). https://doi.org/10.1007/s11128-016-1390-0

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  • DOI: https://doi.org/10.1007/s11128-016-1390-0

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