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Optimization of processes in a spin chain

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Abstract

There are considered the problems of optimal excitation transfer in spin chains on the base of Shrödinger equation for different types of Hamiltonians containing linear control. Exact analytic solutions for the Landau-Zener model and like 2-spin systems are obtained via double transformation to derived system known from the theory of degenerate problems. An approach to application of these solutions for the investigation of multi-spin chains is proposed.

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Authors and Affiliations

  1. Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia

    V. I. Gurman & I. V. Rasina

Authors
  1. V. I. Gurman
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  2. I. V. Rasina
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Correspondence to V. I. Gurman.

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Original Russian Text © V.I. Gurman, I.V. Rasina, 2014, published in Avtomatika i Telemekhanika, 2014, No. 12, pp. 153–159.

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Gurman, V.I., Rasina, I.V. Optimization of processes in a spin chain. Autom Remote Control 75, 2212–2216 (2014). https://doi.org/10.1134/S0005117914120108

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