scholarly journals MULTI-TIME CORRELATIONS IN RELAXING QUANTUM DYNAMICAL SYSTEMS

2000 ◽  
Vol 12 (07) ◽  
pp. 921-944 ◽  
Author(s):  
JOHAN ANDRIES ◽  
FABIO BENATTI ◽  
MIEKE De COCK ◽  
MARK FANNES
Keyword(s):  
Dynamical Systems ◽  
Correlation Functions ◽  
Time Correlation ◽  
Time Correlation Functions ◽  
Quantum Dynamical ◽  
Time Asymptotics ◽  
Time Correlations ◽  
Long Time ◽  
Long Time Asymptotics ◽  
Quantum Dynamical Systems

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.

scholarly journals On the use of two-time correlation functions for X-ray photon correlation spectroscopy data analysis

2017 ◽  
Vol 50 (2) ◽  
pp. 357-368 ◽  
Author(s):  
Oier Bikondoa
Keyword(s):  
Correlation Functions ◽  
Photon Correlation Spectroscopy ◽  
Time Correlation ◽  
Correlation Spectroscopy ◽  
Time Correlation Functions ◽  
Spectroscopy Data ◽  
Photon Correlation ◽  
X Ray ◽  
Equilibrium Processes ◽  
Time Correlations

Multi-time correlation functions are especially well suited to study non-equilibrium processes. In particular, two-time correlation functions are widely used in X-ray photon correlation experiments on systems out of equilibrium. One-time correlations are often extracted from two-time correlation functions at different sample ages. However, this way of analysing two-time correlation functions is not unique. Here, two methods to analyse two-time correlation functions are scrutinized, and three illustrative examples are used to discuss the implications for the evaluation of the correlation times and functional shape of the correlations.

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