Entanglement in an SU(n) Valence-Bond-Solid State

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 expression 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 $\alpha$ in the limit of large block sizes and its value $2\log n$ 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.

16 pages, 2 figures; one reference added

References in corpus (6)

• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Valence Bond Solids for Quantum Computation
• Ground state entanglement and geometric entropy in the Kitaev's model
• Implementation of Spin Hamiltonians in Optical Lattices
• Exact Analysis of Entanglement in Gapped Quantum Spin Chains
• Entanglement Entropy of One-dimensional Gapped Spin Chains

Cited by in corpus (1)

• A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation