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arXiv · 2505.02458

The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses

Anouar Kouraich·Chokri Manai·Simone Warzel
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Abstract

We consider the free energy of a class of spin glass models with $ p$-spin interactions in a transverse magnetic field. As $ p \to \infty $, the infinite system-size free energy is proven to converge to that of the quantum random energy model. This is accomplished by combining existing analytical techniques addressing the non-commutative properties of such quantum glasses, with the description of the typical geometry of extreme negative deviations of the classical $ p $-spin glass. We also review properties of the corresponding classical free energy and conjectures addressing $ 1/p $-corrections in the quantum case.

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BibTeXRIS

Anouar Kouraich, Chokri Manai, Simone Warzel. 2025-05-05. The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses. https://arxiv.org/abs/2505.02458

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