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Optimization of Excitation Transfer in a Spin Chain

机译:旋转链中励磁转移的优化

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摘要

A revised formulation of the problem of fastest transfer of the excitation in a spin chain is considered on the base of Shrodinger equation which Hamiltonian depends linearly on control. It is taken into account that the excitation of the first or last spin means that it has greatest amplitude equal to the chain invariant whereas its phase is undefined and can be considered as an additional control variable. The role of this additional control is analyzed via transformation of the original problem with unbounded linear control to the regular derived problem known from the theory of degenerate problems [1, 2], in the same way as in [2]. The overall procedure is demonstrated in computational experiments with the use of visual examples.
机译:关于蜘蛛队等式的基部,汉密尔顿人依赖于控制的基部,考虑了对旋转链中激发最快的激励的最快转移问题的修正制剂。考虑到第一或最后一个自旋的激发意味着它具有等于链不变的最大振幅,而其相位是未定义的并且可以被认为是另外的控制变量。通过对从退化问题理论[1,2]的理论中已知的常规衍生问题的原始问题的转换分析了这种额外控制的作用,以与[2]相同。通过使用视觉示例,在计算实验中证明了整体过程。

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