Perfect state transfer in a spin chain without mirror symmetry. (11th October 2019)

• Record Type: Journal Article
• Authors: Coutinho, Gabriel; Vinet, Luc; Zhan, Hanmeng; Zhedanov, Alexei
• Is Part Of: Journal of physics. Volume 52:Number 45(2019)
• Publication Date: 2019-10-11
• Subjects: asymmetric perfect state transfer -- fractional revival -- spin chains -- dual −1 Hahn polynomials; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab476e
• Languages: English
• ISSNs: 1751-8113

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.