PreprintCC BY 4.0arXiv
Correlation measure for statistical systems
Abstract
A measure of correlations for statistical systems is advanced, called correlation index. The measure is general, being applicable to quantum and classical, equilibrium and nonequilibrium statistical systems. After formulating the general notion of correlation indices for arbitrary trace-class operators, the calculation of the correlation indices are illustrated by several examples of density operators and reduced density matrices. The computation of the correlation indices for equilibrium systems is exemplified for bosonic systems with the Bose-Einstein condensate, superconducting systems, and for spin systems. Correlation indices for nonequilibrium systems are considered for nonlinear dynamics of spin and pseudospin systems.
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BibTeX
@misc{yukalov2026correlation,
title = {{Correlation measure for statistical systems}},
author = {V. I. Yukalov and E. P. Yukalova},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.34859},
eprint = {2609.34859},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.34859},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Correlation measure for statistical systems
AU - V. I. Yukalov
AU - E. P. Yukalova
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.34859
UR - https://arxiv.org/abs/2609.34859
AB - A measure of correlations for statistical systems is advanced, called correlation index. The measure is general, being applicable to quantum and classical, equilibrium and nonequilibrium statistical systems. After formulating the general notion of correlation indices for arbitrary trace-class operators, the calculation of the correlation indices are illustrated by several examples of density operators and reduced density matrices. The computation of the correlation indices for equilibrium systems is exemplified for bosonic systems with the Bose-Einstein condensate, superconducting systems, and for spin systems. Correlation indices for nonequilibrium systems are considered for nonlinear dynamics of spin and pseudospin systems.
ER -