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.Comment: 21 pages, 13 figure
