Entanglement Entropy of One-dimensional Gapped Spin Chains

Abstract

We investigate the entanglement entropy (EE) of gapped S=1 and $S=1/2$ spin chains with dimerization. We find that the effective boundary degrees of freedom as edge states contribute significantly to the EE. For the $S=1/2$ dimerized Heisenberg chain, the EE of the sufficiently long chain is essentially explained by the localized $S=1/2$ effective spins on the boundaries. As for S=1, the effective spins are also $S=1/2$ causing a Kennedy triplet that yields a lower bound for the EE. In this case, the residual entanglement reduces substantially by a continuous deformation of the Heisenberg model to that of the AKLT Hamiltonian.

5 pages, 6 figures

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• Entanglement Spectra of the 2D AKLT Model: VBS/CFT Correspondence
• Entanglement as geometry and flow
• Entanglement and Density Matrix of a Block of Spins in AKLT Model
• Entanglement Entropy in the Calogero-Sutherland Model
• Edge states of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Quantum many-body scars in spin models with multibody interactions
• Entanglement in valence-bond-solid states on symmetric graphs
• Nontrivial quantized Berry phases for itinerant spin liquids
• Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
• Exact Results for the Bipartite Entanglement Entropy of the AKLT spin-1 chain
• Impurity Entanglement in the $J-J_2-\delta$ Quantum Spin Chain
• Excitonic Correlations, Spin-State Ordering, and Magnetic-Field Effects in One-Dimensional Two-Orbital Hubbard Model for Spin-Crossover Region
• Impurity-driven transitions in frustrated quantum Ising ring
• Block Spin Density Matrix of the Inhomogeneous AKLT Model
• Topological quantum phase transition in strongly correlated Kondo insulators in 1D
• Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian