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arXiv · 2106.00500

Existence of replica-symmetry breaking in quantum glasses

Hajo Leschke·Chokri Manai·Rainer Ruder·Simone Warzel
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Abstract

By controlling quantum fluctuations via the Falk-Bruch inequality we give the first rigorous argument for the existence of a spin-glass phase in the quantum Sherrington-Kirkpatrick model with a transverse magnetic field if the temperature and the field are sufficiently low. The argument also applies to the generalization of the model with multi-spin interactions, sometimes dubbed as transverse $p$-spin model.

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Hajo Leschke, Chokri Manai, Rainer Ruder, Simone Warzel. 2021-11-13. Existence of replica-symmetry breaking in quantum glasses. https://doi.org/10.1103/physrevlett.127.207204

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