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arXiv · 2008.07061

Equipartition principle for Wigner matrices

Zhigang Bao·Laszlo Erdos·Kevin Schnelli
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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.

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Zhigang Bao, Laszlo Erdos, Kevin Schnelli. 2020-08-17. Equipartition principle for Wigner matrices. https://doi.org/10.1017/fms.2021.38

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