Seminar "Tensor network states and simulations"

13.11.2014 at 12:00 

 

Topics: (I) tensor network states, tensor renormalization: 1, Tensor Renormalization Group Approach to Two-Dimensional Classical Lattice Models, Michael Levin and Cody P. Nave, PRL 99, 120601 (2007). 2, Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions, Zheng-Cheng Gu, Michael Levin, and Xiao-Gang Wen, PRB 78, 205116 (2008).

(II) projected entangled-pair state (PEPS) 3, Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions, Frank Verstraete and J.I. Cirac, arXiv:cond-mat/0407066v1 (2004). 4, Accurate Determination of Tensor Network State of Quantum Lattice Models in Two Dimensions, H. C. Jiang, Z.Y. Weng, and T. Xiang, PRL 101, 090603 (2008). 5, Simulation of  two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction, Román Orús and Guifré Vidal, PRB 80, 094403 (2009).

(III) fermonic PEPS 6, Simulation of strongly correlated fermions  in two spatial dimensions with fermionic projected entangled-pair states, Philippe Corboz, Román Orús, Bela Bauer, and Guifré Vidal, PRB 81, 165104 (2010). 7, Competing States in the t-J Model:  Uniform d-Wave State versus Stripe State, Philippe Corboz, T. M. Rice, and Matthias Troyer, PRL 113, 046402 (2014).

(IV) topological order and tensor network states 8, Topological and entanglement properties of resonating valence bond wave  functions, Didier Poilblanc, Norbert Schuch, David Perez-Garcıa, and J. Ignacio Cirac, PRB B 86, 014404 (2012). 9, Resonating-valence-bond superconductors with fermionic projected entangled pair states, Didier Poilblanc, Philippe Corboz, Norbert Schuch, and J. Ignacio Cirac, PRB 89, 241106 (2014). 10, Anyons in an exactly solved model and beyond, Alexei Kitaev, Annals of Physics, Volume 321, Issue 1, January 2006, Pages 2–111.