TNQMP2016: Tao Xiang (July 12, 2016) скачать в хорошем качестве

TNQMP2016: Tao Xiang (July 12, 2016)

Tao Xiang (CAS, Beijing) "Renormalization of Tensor Network Models" In this talk, I will give an extensive introduction to the tensor renormalization group and discuss its application in the two or three dimensional quantum lattice models. Emphasis will be given to the coarse graining tensor renormalization using the higher-order singular value decomposition (HOTRG) and the projected entangled simplex representation for the ground state wave function of quantum lattice models. The HOTRG provides an accurate but low computational cost technique for studying both classical and quantum lattice models in two or three dimensions. I will demonstrate this method using the Ising model on the cubic lattices. The projected entangled simplex state (PESS), on the other hand, provides a good representation of tensor network states for highly frustrated quantum lattice models. The PESS extends the pair correlation in the projected entangled pair states (PEPS) to a simplex. For the spin-1/2 Heisenberg model on the Kagome lattice, we obtain an accurate result for the ground state energy, which agrees with other numerical calculations and sets a new upper bound for the ground state energy. Slides: http://www.issp.u-tokyo.ac.jp/public/... TNQMP2016: http://www.issp.u-tokyo.ac.jp/public/... [Unfortunately, presentation screen was not recorded because of server trouble. Please watch with the PDF file of slides.]