论文标题

完美的状态转移二维和双变量双HAHN多项式

Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials

论文作者

Miki, Hiroshi, Tsujimoto, Satoshi, Vinet, Luc

论文摘要

提出了一个新的可解决的二维自旋晶格模型,该模型在定期的三角形形状上定义。站点之间的跳跃幅度与某些双变量双HAHN多项式的复发系数有关。对于参数的特定选择,显示出完美的状态转移和分数复兴。

A new solvable two-dimensional spin lattice model defined on a regular grid of triangular shape is proposed. The hopping amplitudes between sites are related to recurrence coefficients of certain bivariate dual-Hahn polynomials. For a specific choice of the parameters, perfect state transfer and fractional revival are shown to take place.

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