Long-range correlations in quantum systems with aperiodic Hamiltonians

被引：3
|
作者：
Lin, ZF [1 ]
Goda, M [1 ]
机构：
[1] NIIGATA UNIV,FAC ENGN,NIIGATA 95021,JAPAN
来源：
PHYSICAL REVIEW E | 1997年 / 55卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.55.2632
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
An efficient algorithm for the computation of correlation function (CF) at very long distances is presented for quantum systems whose Hamiltonian is formed by the substitution aperiodic sequence alternating over unit intervals in time or space. The algorithm reorganizes the expression of the CF in such a way that the evaluation of the CF at distances equal to some special numbers is related to a family of graphs generated recursively. As examples of applications, we evaluate the CF, over unprecedentedly long time intervals up to order of 10(12), for aperiodic two-level systems subject to kicking perturbations that are in the Thue-Morse, the period-doubling, and the Rudin-Shapiro sequences, respectively. Our results show the presence of long-range correlations in all these aperiodic quantum systems.
引用
收藏
页码：2632 / 2639
页数：8
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