Dual -1 Hahn polynomials and perfect state transfer

preprint2011arXivOpen access

We find all the $XX$ spin chains with perfect state transfer (PST) that are connected with the dual -1 Hahn polynomials $R_n(x; α,β,N)$ . For $N$ odd we recover a model that had already been identified while for $N$ even, we obtain a new system exhibiting PST.

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Dual -1 Hahn polynomials and perfect state transfer

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