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

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

2007-11-25

arxiv.org/abs/0711.3882v2

J. Phys. A:Math & Theor. 41, 135304(2008).

Physics

Quantum Physics

16 pages, 2 figures; one reference added

Scientific paper

10.1088/1751-8113/41/13/135304

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 R\'enyi entropies. We discover that the R\'enyi 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.

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