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arXiv · 2410.03079

Exactly solvable quantum spin-glass model with 1RSB-fullRSB transition

Naoto Shiraishi
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Abstract

We introduce a novel quantum spin-glass model, a Sherrington-Kirkpatrick model with a transverse mean-field type random magnet. We rigorously derive the exact expression of the free energy of this model at the entire parameter region. The obtained exact solution implies the existence of a 1RSB-fullRSB transition at low temperatures. Our technique can be applied to general classical spin models, telling that any solvable classical spin model has its solvable quantum counterpart.

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Naoto Shiraishi. 2024-10-04. Exactly solvable quantum spin-glass model with 1RSB-fullRSB transition. https://arxiv.org/abs/2410.03079

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