Quantum Entanglement of Tensor Networks with Symmetry Projections

Details Quantum Entanglement of Tensor Networks with Symmetry Projections Quantum Entanglement of Tensor Networks with Symmetry Projections

2012-02-02

arxiv.org/abs/1202.0383v1

J. Phys. Soc. Jpn. 81 (2012) 043001

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 3 figures, to be published in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.81.043001

We investigate the global-symmetry projections applied to the tensor network states from the view point of the entanglement entropy and the mutual information. The projections to the translational invariant space and to the total-$S^z$-zero space give logarithmically increasing mutual information with respect to the system size. In the anti-ferromagnetic $S=1/2$ Heisenberg chain and lattice, the optimized energies become accurate numerically by using variational states of the projected tensor network states, because the projections reflecting symmetries of the ground states generate quantum entanglement.

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