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arXiv · 1912.02041

The Quantum Random Energy Model as a Limit of p-Spin Interactions

Chokri Manai·Simone Warzel
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Abstract

We consider the free energy of a mean-field quantum spin glass described by a $ p $-spin interaction and a transversal magnetic field. Recent rigorous results for the case $ p= \infty $, i.e. the quantum random energy model (QREM), are reviewed. We show that the free energy of the $ p $-spin model converges in a joint thermodynamic and $ p \to \infty $ limit to the free energy of the QREM.

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Chokri Manai, Simone Warzel. 2019-12-04. The Quantum Random Energy Model as a Limit of p-Spin Interactions. https://doi.org/10.1142/s0129055x20600132

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