Low energy properties of non-perturbative quantum systems: a space reduction approach

TL;DR

This paper introduces a Hilbert space renormalization method to analyze low-energy properties of strongly correlated quantum spin systems, especially near quantum critical points, demonstrating its effectiveness through spectral analysis.

Contribution

It presents a novel space reduction approach for non-perturbative quantum systems, enabling efficient analysis of low-energy spectra in complex spin models.

Findings

Effective in analyzing low-energy spectra of frustrated quantum spin systems.

Demonstrates accuracy near quantum critical points.

Applicable across different phases of the phase diagram.

Abstract

We propose and test a renormalization procedure which acts in Hilbert space. We test its efficiency on strongly correlated quantum spin systems by working out and analyzing the low-energy spectral properties of frustrated quantum spin systems in different parts of the phase diagram and in the neighbourhood of quantum critical points.