The Quantum Spherical Spin Glass Model: A Limitation to Static Approximation

TL;DR

This paper compares the static approximation to exact solutions in the quantum spherical p-spin model, revealing its validity in certain classical limits but limitations in the quantum regime for p=2.

Contribution

It provides a detailed analysis of the static approximation's accuracy in the quantum spherical p-spin model, highlighting its limitations in the quantum regime.

Findings

Static approximation matches exact solutions for p->oo and p=2 in the classical regime.

Static approximation differs from exact solutions for p=2 in the quantum regime.

The study clarifies the conditions under which the static approximation is valid or limited.

Abstract

In this work, we confront the static approximate with a exact solution in the quantum spherical p-spin interaction model (p->oo and p=2). On the one hand, this study indicates that the static approximate corresponds to exact solution in the cases p->oo and p = 2 in the classic regime. On the other, the static approximate differs from the exact solution for p=2 in the quantum regime.