Ground states for mean field models with a transverse component

TL;DR

This paper studies the asymptotic behavior of ground states in quantum mean field models with a transverse component, using stochastic, large deviation, and weak KAM methods, with detailed analysis for spin-1/2 systems.

Contribution

It introduces a novel combination of stochastic, large deviation, and weak KAM techniques to analyze ground states in quantum mean field models with transverse components.

Findings

Derived logarithmic asymptotics for ground states

Applied methods to spin-1/2 models in detail

Provided a new analytical framework for quantum mean field models

Abstract

We investigate global logarithmic asymptotics of ground states for a family of quantum mean field models. Our approach is based on a stochastic representation and a combination of large deviation and weak KAM techniques. The spin- 1/2 case is worked out in more detail.