Quantum spin chains with fractional revival

被引：30
|
作者：
Genest, Vincent X. [1 ]
Vinet, Luc [2 ]
Zhedanov, Alexei [3 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
[2] Univ Montreal, Ctr Rech Math, Montreal, PQ, Canada
[3] Donetsk Inst Phys & Technol, UA-83114 Donetsk, Ukraine
来源：
ANNALS OF PHYSICS | 2016年 / 371卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Perfect state transfer; Spin chains; Orthogonal polynomials; Quantum information transfer;
D O I：
10.1016/j.aop.2016.05.009
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A systematic study of fractional revival at two sites in XX quantum spin chains is presented. Analytic models with this phenomenon are obtained by combining two basic ways of realizing fractional revival in a spin chain. The first proceeds through isospectral deformations of spin chains with perfect state transfer. The second makes use of couplings provided by the recurrence coefficients of polynomials with a bi-lattice orthogonality grid. The latter method leads to analytic models previously identified that can exhibit perfect state transfer in addition to fractional revival. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：348 / 367
页数：20
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