Equipartition principle for Wigner matrices
Mathematical Physics
2021-07-01 v1 math.MP
Probability
Abstract
We prove that the energy of any eigenvector of a sum of several independent large Wigner matrices is equally distributed among these matrices with very high precision. This shows a particularly strong microcanonical form of the equipartition principle for quantum systems whose components are modelled by Wigner matrices.
Cite
@article{arxiv.2008.07061,
title = {Equipartition principle for Wigner matrices},
author = {Zhigang Bao and Laszlo Erdos and Kevin Schnelli},
journal= {arXiv preprint arXiv:2008.07061},
year = {2021}
}