Theory of ground state factorization in quantum cooperative systems

TL;DR

This paper presents a comprehensive analytic method to identify and characterize fully separable ground states in a wide class of quantum cooperative spin systems, regardless of their dimensionality or interaction range.

Contribution

It introduces a general theoretical framework for rigorously determining the existence, location, and form of factorized ground states in diverse quantum spin models.

Findings

Provides a systematic way to find ground state factorization points.

Applicable to models with arbitrary interaction range and dimensionality.

Enables analysis of non-exactly solvable quantum systems.

Abstract

We introduce a general analytic approach to the study of factorization points and factorized ground states in quantum cooperative systems. The method allows to determine rigorously existence, location, and exact form of separable ground states in a large variety of, generally non-exactly solvable, spin models belonging to different universality classes. The theory applies to translationally invariant systems, irrespective of spatial dimensionality, and for spin-spin interactions of arbitrary range.