Entanglement analysis of isotropic spin-1 chains

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.

21 pages, 13 figures

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• Entanglement and corner Hamiltonian spectra of integrable open spin chains
• Universal entanglement spectra in critical spin chains
• Range of biquadratic and triquadratic Heisenberg effective couplings deduced from multiorbital Hubbard models
• Entanglement properties of the Haldane phases: A finite system-size approach
• Proposal of a spin-one chain model with competing dimer and trimer interactions
• Goldstone modes and the golden spiral in the ferromagnetic spin-1 biquadratic model
• The Entanglement Level and the Detection of Quantum Data Transfer Correctness in Short Qutrit Spin Chains