2007/03/31 by Takaaki Hirano, Yasuhiro Hatsugai
Mathematics · Physics and Astronomy · #Condensed matter physics #Configuration entropy #Entropy (arrow of time) #Hamiltonian (control theory) #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Residual entropy #Spins #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1143/jpsj.76.074603
published as J. Phys. Soc. Jpn., Vol.76, 074603 (2007) · 5 pages, 6 figures
arxiv created 2007/07/10 · openalex publication_date 2007/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.