Extended Series of Correlation Inequalities in Quantum Systems
Mathematical Physics
2023-06-07 v1 Disordered Systems and Neural Networks
math.MP
Abstract
A systematic derivation provides extended series of correlation inequalities in quantum systems. Each order in truncated Taylor expansion of the spectral representation for the Duhamel correlation function gives its lower and upper bounds. The obtained bound on the Duhamel function and the square root interpolation method enable us to derive a variational solution of specific free energy in the transverse field Sherrington-Kirkpatrick model.
Keywords
Cite
@article{arxiv.2306.03489,
title = {Extended Series of Correlation Inequalities in Quantum Systems},
author = {Chigak Itoi and Hiroto Ishimori and Kota Sato and Yoshinori Sakamoto},
journal= {arXiv preprint arXiv:2306.03489},
year = {2023}
}
Comments
17 pages, 7 figures