The quantum random energy model as a limit of p -spin interactions

Chokri Manai; Simone Warzel

doi:10.1142/S0129055X20600132

The quantum random energy model as a limit of p -spin interactions

Chokri Manai
, Simone Warzel

Chair of Mathematical Quantum Physics

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 = ∞, 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 →∞ limit to the free energy of the QREM.

Original language	English
Article number	2060013
Journal	Reviews in Mathematical Physics
Volume	33
Issue number	1
DOIs	https://doi.org/10.1142/S0129055X20600132
State	Published - Feb 2021

Keywords

Disordered systems
free energy
phase transitions
quantum spin glass

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10.1142/S0129055X20600132

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title = "The quantum random energy model as a limit of p -spin interactions",

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 = ∞, 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 →∞ limit to the free energy of the QREM.",

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AB - 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 = ∞, 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 →∞ limit to the free energy of the QREM.

KW - Disordered systems

KW - free energy

KW - phase transitions

KW - quantum spin glass

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DO - 10.1142/S0129055X20600132

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The quantum random energy model as a limit of p -spin interactions

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Keywords

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