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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2014 Issue 12, Pages 153–159 (Mi at14168)

This article is cited in 3 papers

Notes, Chronicle, Information

Optimization of processes in a spin chain

V. I. Gurman, I. V. Rasina

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

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.

Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 07.04.2014


 English version:
Automation and Remote Control, 2014, 75:12, 2212–2216

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