Entanglement analysis of isotropic spin-1 chains

TL;DR

This paper explores how entanglement spectra reveal key features of the SO(3) bilinear-biquadratic spin-1 chain, including symmetry breaking, enhanced symmetry points, and topological phases, demonstrating the spectra's utility in studying 1D quantum systems.

Contribution

It provides a detailed analysis of entanglement spectra in a complex spin-1 chain model, linking spectral features to various quantum phases and symmetry properties.

Findings

Entanglement spectra reflect symmetry breaking and topological phases.

Identification of signatures of phase transitions in entanglement spectra.

Demonstration of entanglement spectra as a versatile tool for 1D quantum systems.

Abstract

We investigate entanglement spectra of the SO(3) bilinear-biquadratic spin-1 chain, a model with phases exhibiting spontaneous symmetry breaking (both translation and spin rotation), points of enlarged symmetry, and a symmetry-protected topological phase (the Haldane phase). Our analysis reveals how these hallmark features are manifested in the entanglement spectra, and highlights the versatility of entanglement spectra as a tool to study one-dimensional quantum systems via small finite size realisations.