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arXiv:1903.04707 · Journal of Physics A Mathematical and Theoretical

Perfect state transfer in a spin chain without mirror symmetry

Gabriel Coutinho, Luc Vinet, Hanmeng Zhan, Alexei S. Zhedanov

Published Sep 24, 2019• 4 citations
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Abstract

Abstract We introduce an analytical XX spin chain with asymmetrical transport properties. It has an even number N + 1 of sites labeled by . It does not exhibit perfect state transfer (PST) from end-to-end but rather from the first site to the next to last one. In fact, PST of one-excitation states takes place between the even sites: , ; while states localized at a single odd site undergo fractional revival (FR) over odd sites only. Perfect return is witnessed at double the PST/FR time. The couplings and local magnetic fields are related to the recurrence coefficients of the dual −1 Hahn polynomials.

DOI
10.1088/1751-8121/ab476e

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