Dual -1 Hahn polynomials and perfect state transfer

Physics – Mathematical Physics

Scientific paper

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11 pages

Scientific paper

We find all the $XX$ spin chains with perfect state transfer (PST) that are
connected with the dual -1 Hahn polynomials $R_n(x; \alpha,\beta,N)$. 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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