Long-range correlations in quantum systems with aperiodic Hamiltonians
Creators
- 1. Faculty of Engineering, Niigata University, Niigata 950-21 (Japan)
- 2. Department of Physics, Fudan University, Shanghai 200433 (China)
Description
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 1012, 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. copyright 1997 The American Physical Society
Additional details
Publishing Information
- Journal Title
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Journal Volume
- 55
- Journal Issue
- 3
- Journal Page Range
- p. 2632-2639.
- ISSN
- 1063-651X
- CODEN
- PLEEE8
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 28069317
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; CORRELATION FUNCTIONS; DYNAMICS; HAMILTONIANS; PERTURBATION THEORY; QUANTUM MECHANICS; SPACE DEPENDENCE; TIME DEPENDENCE
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS