Quantitatively improved finite-size criteria for spectral gaps

TL;DR

This paper introduces a new subsystem weighting scheme that enhances finite-size criteria, enabling more effective spectral gap analysis in various higher-dimensional quantum spin systems and lattices.

Contribution

It presents a novel subsystem weighting method that quantitatively improves finite-size criteria for spectral gaps across multiple lattice types.

Findings

Enhanced finite-size criteria for spectral gaps.

Applicable to Euclidean, honeycomb, and triangular lattices.

Improved bounds for quantum spin system analysis.

Abstract

Finite-size criteria have emerged as an effective tool for deriving spectral gaps in higher-dimensional frustration-free quantum spin systems. We quantitatively improve the existing finite-size criteria by introducing a novel subsystem weighting scheme. The approach applies to Euclidean lattices of any dimension, the honeycomb lattice, and the triangular lattice.