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A Bernasconi model for constructing ground-state spin systems

  • Proceedings of the X International Symposium on Photon Echoes and Coherent Spectroscopy
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A Bernasconi model for a one-dimensional chain of quantum particles is considered. It is shown that searching for the ground state of such a quantum system is equivalent to searching for binary sequences with minimum energy levels of the side lobes of the aperiodic autocorrelation function (ACF). A review and new results regarding the construction of such binary sequences are presented.

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Authors and Affiliations

  1. Volga State University of Technology, Yoshkar-Ola, 424000, Russia

    A. N. Leukhin, A. S. Shuvalov & E. N. Potekhin

Authors
  1. A. N. Leukhin
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  2. A. S. Shuvalov
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  3. E. N. Potekhin
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Corresponding author

Correspondence to A. N. Leukhin.

Additional information

Original Russian Text © A.N. Leukhin, A.S. Shuvalov, E.N. Potekhin, 2014, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2014, Vol. 78, No. 3, pp. 316–318.

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Leukhin, A.N., Shuvalov, A.S. & Potekhin, E.N. A Bernasconi model for constructing ground-state spin systems. Bull. Russ. Acad. Sci. Phys. 78, 207–209 (2014). https://doi.org/10.3103/S1062873814030137

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  • DOI: https://doi.org/10.3103/S1062873814030137

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