MULTI-TIME CORRELATIONS IN RELAXING QUANTUM DYNAMICAL SYSTEMS

Author:

ANDRIES JOHAN1,BENATTI FABIO1,De COCK MIEKE1,FANNES MARK1

Affiliation:

1. Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D, B-3001 Heverlee, Belgium

Abstract

In this paper, we consider the long time asymptotics of multi-time correlation functions for quantum dynamical systems that are sufficiently random to relax to a reference state. In particular, the evolution of such systems must have a continuous spectrum. Special attention is paid to general dynamical clustering conditions and their consequences for the structure of fluctuations of temporal averages. This approach is applied to the so-called Powers–Price shifts.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Relative ergodic properties of C*-dynamical systems;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2014-03

2. Free joinings of C-dynamical systems;Journal of Mathematical Analysis and Applications;2010-08

3. The multitime correlation functions, free white noise, and the generalized Poisson statistics in the low density limit;Journal of Mathematical Physics;2006-03

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