Block Spin Density Matrix of the Inhomogeneous AKLT Model

Details Block Spin Density Matrix of the Inhomogeneous AKLT Model Block Spin Density Matrix of the Inhomogeneous AKLT Model

2008-04-10

arxiv.org/abs/0804.1741v1

Quantum Information Processing, vol. 7, no. 4, pp.153-174 (2008).

Physics

Quantum Physics

20 pages

Scientific paper

10.1007/s11128-008-0080-y

We study the inhomogeneous generalization of a 1-dimensional AKLT spin chain model. Spins at each lattice site could be different. Under certain conditions, the ground state of this AKLT model is unique and is described by the Valence-Bond-Solid (VBS) state. We calculate the density matrix of a contiguous block of bulk spins in this ground state. The density matrix is independent of spins outside the block. It is diagonalized and shown to be a projector onto a subspace. We prove that for large block the density matrix behaves as the identity in the subspace. The von Neumann entropy coincides with Renyi entropy and is equal to the saturated value.

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