Study of the spectral properties of spin ladders in different representations via a renormalization procedure

TL;DR

This paper introduces a renormalization algorithm to analyze the spectral properties of complex quantum spin systems, focusing on how different representations affect the Hilbert space reduction process.

Contribution

The study develops a novel renormalization procedure to compare the impact of various representations on spectral analysis of frustrated quantum spin ladders.

Findings

Different representations significantly influence the Hilbert space reduction.

The algorithm effectively captures spectral features of strongly interacting systems.

Representation choice affects the accuracy of spectral property predictions.

Abstract

We implement an algorithm which is aimed to reduce the dimensions of the Hilbert space of quantum many-body systems by means of a renormalization procedure. We test the role and importance of different representations on the reduction process by working out and analyzing the spectral properties of strongly interacting frustrated quantum spin systems.