Tensor Networks Papers

Some recent papers on tensor networks:

Glen Evenbly, Guifre Vidal, “Tensor network renormalization yields the multi-scale entanglement renormalization ansatz”, arXiv:1502.05385.


E.M. Stoudenmire, David J. Clarke, Roger S. K. Mong, and Jason Alicea, "Assembling Fibonacci Anyons From a Z3 Parafermion Lattice Model", arXiv:1501.05305.


Glen Evenbly, Guifre Vidal, “Tensor Network Renormalization”, arXiv:1412.0732.


Shuo Yang, Thorsten B. Wahl, Hong-Hao Tu, Norbert Schuch, J. Ignacio Cirac, "Chiral projected entangled-pair state with topological order", Phys. Rev. Lett. 114, 106803 (2015), arXiv:1411.6618.


Ho N. Phien, Ian P. McCulloch, Guifre Vidal, “Faster convergence of imaginary time evolution tensor network algorithms by recycling the environment”, arXiv:1411.0391.


E.M. Stoudenmire, Peter Gustainis, Ravi Johal, Stefan Wessel, and Roger G. Melko, "Corner Contributions to the Entanglement Entropy of Strongly-Interacting O(2) Quantum Critical Systems in 2+1 Dimensions," Phys. Rev. B, 90: 235106, arXiv: 1409.6327.


Bianca Dittrich, Sebastian Mizera, Sebastian Steinhaus, "Decorated tensor network renormalization for lattice gauge theories and spin foam models," arXiv: 1409.2407.

Lucas O. Wagner, Thomas E. Baker, E.M. Stoudenmire, Kieron Burke, and Steven R. White, "Kohn-Sham Calculations with the Exact Functional", Phys. Rev. B, 90: 045109 (2014), arXiv.org: 1405.0864.

Ann Kallin, E.M. Stoudenmire, Paul Fendley, Rajiv R.P. Singh, Roger G. Melko, "Corner contribution to the entanglement entropy of an O(3) quantum critical point in 2+1 dimensions", J. Stat. Mech. P06009 (2013),  arXiv: 1401.3504.

B. Bauer, L. Cincio, B. P. Keller, M. Dolfi, G. Vidal, S. Trebst, A. W. W. Ludwig, "Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator," (accepted in Nature Communications), arXiv: 1401.3017.

Bianca Dittrich, Mercedes Martin-Benito, Sebastian Steinhaus, "Quantum group spin nets: refinement limit and relation to spin foams," Phys. Rev. D 90, 024058 (2014), arXiv: 1312.0905.

Glen Evenbly, Guifre Vidal, "Algorithms for entanglement renormalization: boundaries, impurities and interfaces,"  J Stat Phys, DOI 10.1007/s10955-014-0983-1, arXiv: 1312.0303.

Bianca Dittrich, Sebastian Steinhaus, "Time evolution as refining, coarse graining and entangling," arXiv: 1311.7565.

Bianca Dittrich, Wojciech Kaminski, "Topological lattice field theories from intertwiner dynamics," arXiv: 1311.1798.

Glen Evenbly, Guifre Vidal, "Scaling of entanglement entropy in the (branching) multi-scale entanglement renormalization ansatz,"  Phys. Rev. B 89, 235113 (2014), arXiv: 1310.8372.

Bianca Dittrich, Mercedes Martín-Benito, Erik Schnetter, "Coarse graining of spin net models: dynamics of intertwiners," New J. Phys. 15 (2013) 103004, arXiv: 1306.2987.

Glen Evenbly, Guifre Vidal, "A class of highly entangled many-body states that can be efficiently simulated," Phys. Rev. Lett. 112, 240502 (2014), arXiv: 1210.1895.

Glen Evenbly and Guifre Vidal, "A real space decoupling transformation for quantum many-body systems," Phys. Rev. Lett. 112, 220502 (2014), arXiv: 1205.0639.