Year: 2008
Type: article
Abstract: We investigate entanglement properties in the ground state of the open/periodic SU ( n ) generalized valence-bond-solid state consisting of representations of SU ( n ). We obtain exact expressions for the reduced density matrix of a block of contiguous spins and explicitly evaluate the von Neumann and the Rényi entropies. We discover that the Rényi entropy is independent of the parameter α in the limit of large block sizes and its value 2log n coincides with that of von Neumann entropy. We also find the direct relation between the reduced density matrix of the subsystem and edge states for the corresponding open boundary system.
Authors: Hosho Katsura, Takaaki Hirano, Vladimir E Korepin
Institutions: The University of Tokyo, Stony Brook University
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Awards: Systematic investigation of optical and electronic features of spin-charge-photon coupled systems, G2940826786, Toeplitz Determinants, Fisher-Hartwig Formula and Entropy, G6519111549, Chemistry and Physics of 3d Transition Metal Oxides Equipped with Deep 3d Levels : Search for New Materials and New Functions, Design of non-trivial spin texture and anomalous magneto-transport in oxide superstructures
OpenAlex ID: W1965802783