Renormalization algorithm for the calculation of spectra of interacting quantum systems

TL;DR

This paper introduces a renormalization algorithm for calculating eigenstates with specific momentum in quantum lattice systems, leveraging entanglement distribution to construct symmetric wave-functions, demonstrated on S=1 chains.

Contribution

The paper presents a novel algorithm combining renormalization and entanglement concepts to efficiently compute translationally invariant eigenstates in quantum lattices.

Findings

Effective in calculating eigenstates with definite momentum

Applicable to bilinear-biquadratic S=1 chains

Shows advantages over traditional methods

Abstract

We present an algorithm for the calculation of eigenstates with definite linear momentum in quantum lattices. Our method is related to the Density Matrix Renormalization Group, and makes use of the distribution of multipartite entanglement to build variational wave--functions with translational symmetry. Its virtues are shown in the study of bilinear--biquadratic S=1 chains.