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

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.