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Isometric tensor network representation of string-net liquids
- Publication Date:
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
- OSTI Identifier:
- 1599483
- Grant/Contract Number:
- AC02-05-CH11231
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Name: Physical Review B Journal Volume: 101 Journal Issue: 8; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Soejima, Tomohiro, Siva, Karthik, Bultinck, Nick, Chatterjee, Shubhayu, Pollmann, Frank, and Zaletel, Michael P. Isometric tensor network representation of string-net liquids. United States: N. p., 2020.
Web. doi:10.1103/PhysRevB.101.085117.
Soejima, Tomohiro, Siva, Karthik, Bultinck, Nick, Chatterjee, Shubhayu, Pollmann, Frank, & Zaletel, Michael P. Isometric tensor network representation of string-net liquids. United States. doi:10.1103/PhysRevB.101.085117.
Soejima, Tomohiro, Siva, Karthik, Bultinck, Nick, Chatterjee, Shubhayu, Pollmann, Frank, and Zaletel, Michael P. Wed .
"Isometric tensor network representation of string-net liquids". United States. doi:10.1103/PhysRevB.101.085117.
@article{osti_1599483,
title = {Isometric tensor network representation of string-net liquids},
author = {Soejima, Tomohiro and Siva, Karthik and Bultinck, Nick and Chatterjee, Shubhayu and Pollmann, Frank and Zaletel, Michael P.},
abstractNote = {},
doi = {10.1103/PhysRevB.101.085117},
journal = {Physical Review B},
number = 8,
volume = 101,
place = {United States},
year = {2020},
month = {2}
}
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Works referenced in this record:
The density-matrix renormalization group in the age of matrix product states
journal, January 2011
- Schollwöck, Ulrich
- Annals of Physics, Vol. 326, Issue 1
Corner Transfer Matrix Renormalization Group Method
journal, April 1996
- Nishino, Tomotoshi; Okunishi, Kouichi
- Journal of the Physical Society of Japan, Vol. 65, Issue 4
Spectral Gap and Exponential Decay of Correlations
journal, April 2006
- Hastings, Matthew B.; Koma, Tohru
- Communications in Mathematical Physics, Vol. 265, Issue 3
Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
journal, July 2005
- Hastings, M. B.; Wen, Xiao-Gang
- Physical Review B, Vol. 72, Issue 4
Time-Dependent Variational Principle for Quantum Lattices
journal, August 2011
- Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J.
- Physical Review Letters, Vol. 107, Issue 7
Projected Entangled-Pair States Can Describe Chiral Topological States
journal, December 2013
- Wahl, T. B.; Tu, H. -H.; Schuch, N.
- Physical Review Letters, Vol. 111, Issue 23
Tensor product representation of a topological ordered phase: Necessary symmetry conditions
journal, October 2010
- Chen, Xie; Zeng, Bei; Gu, Zheng-Cheng
- Physical Review B, Vol. 82, Issue 16
Generalizations and limitations of string-net models
journal, May 2014
- Lin, Chien-Hung; Levin, Michael
- Physical Review B, Vol. 89, Issue 19
Dimers on a Rectangular Lattice
journal, April 1968
- Baxter, R. J.
- Journal of Mathematical Physics, Vol. 9, Issue 4
Efficient Simulation of One-Dimensional Quantum Many-Body Systems
journal, July 2004
- Vidal, Guifré
- Physical Review Letters, Vol. 93, Issue 4
Conversion of projected entangled pair states into a canonical form
journal, August 2019
- Haghshenas, Reza; O'Rourke, Matthew J.; Chan, Garnet Kin-Lic
- Physical Review B, Vol. 100, Issue 5
Lieb-Robinson Bounds and the Exponential Clustering Theorem
journal, March 2006
- Nachtergaele, Bruno; Sims, Robert
- Communications in Mathematical Physics, Vol. 265, Issue 1
Computational Complexity of Projected Entangled Pair States
journal, April 2007
- Schuch, Norbert; Wolf, Michael M.; Verstraete, Frank
- Physical Review Letters, Vol. 98, Issue 14
Topological quasiparticles and the holographic bulk-edge relation in -dimensional string-net models
journal, September 2014
- Lan, Tian; Wen, Xiao-Gang
- Physical Review B, Vol. 90, Issue 11
Tensor Network Renormalization
journal, October 2015
- Evenbly, G.; Vidal, G.
- Physical Review Letters, Vol. 115, Issue 18
An area law for one-dimensional quantum systems
journal, August 2007
- Hastings, M. B.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 08
Improved one-dimensional area law for frustration-free systems
journal, May 2012
- Arad, Itai; Landau, Zeph; Vazirani, Umesh
- Physical Review B, Vol. 85, Issue 19
Rigorous RG Algorithms and Area Laws for Low Energy Eigenstates in 1D
journal, August 2017
- Arad, Itai; Landau, Zeph; Vazirani, Umesh
- Communications in Mathematical Physics, Vol. 356, Issue 1
String-net condensation: A physical mechanism for topological phases
journal, January 2005
- Levin, Michael A.; Wen, Xiao-Gang
- Physical Review B, Vol. 71, Issue 4
Detecting Topological Order in a Ground State Wave Function
journal, March 2006
- Levin, Michael; Wen, Xiao-Gang
- Physical Review Letters, Vol. 96, Issue 11
The finite group velocity of quantum spin systems
journal, September 1972
- Lieb, Elliott H.; Robinson, Derek W.
- Communications in Mathematical Physics, Vol. 28, Issue 3
Variational optimization with infinite projected entangled-pair states
journal, July 2016
- Corboz, Philippe
- Physical Review B, Vol. 94, Issue 3
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Fault-tolerant quantum computation by anyons
journal, January 2003
- Kitaev, A. Yu.
- Annals of Physics, Vol. 303, Issue 1
Models for Gapped Boundaries and Domain Walls
journal, June 2012
- Kitaev, Alexei; Kong, Liang
- Communications in Mathematical Physics, Vol. 313, Issue 2
Interferometry of non-Abelian anyons
journal, November 2008
- Bonderson, Parsa; Shtengel, Kirill; Slingerland, J. K.
- Annals of Physics, Vol. 323, Issue 11
Protected Edge Modes without Symmetry
journal, May 2013
- Levin, Michael
- Physical Review X, Vol. 3, Issue 2
Explicit tensor network representation for the ground states of string-net models
journal, February 2009
- Buerschaper, Oliver; Aguado, Miguel; Vidal, Guifré
- Physical Review B, Vol. 79, Issue 8
Tensor-product representations for string-net condensed states
journal, February 2009
- Gu, Zheng-Cheng; Levin, Michael; Swingle, Brian
- Physical Review B, Vol. 79, Issue 8
Gradient methods for variational optimization of projected entangled-pair states
journal, October 2016
- Vanderstraeten, Laurens; Haegeman, Jutho; Corboz, Philippe
- Physical Review B, Vol. 94, Issue 15
Tensor network trial states for chiral topological phases in two dimensions and a no-go theorem in any dimension
journal, November 2015
- Dubail, J.; Read, N.
- Physical Review B, Vol. 92, Issue 20
Loop Optimization for Tensor Network Renormalization
journal, March 2017
- Yang, Shuo; Gu, Zheng-Cheng; Wen, Xiao-Gang
- Physical Review Letters, Vol. 118, Issue 11
Tensor Renormalization Group Approach to Two-Dimensional Classical Lattice Models
journal, September 2007
- Levin, Michael; Nave, Cody P.
- Physical Review Letters, Vol. 99, Issue 12
Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction
journal, September 2009
- Orús, Román; Vidal, Guifré
- Physical Review B, Vol. 80, Issue 9
Efficient Classical Simulation of Slightly Entangled Quantum Computations
journal, October 2003
- Vidal, Guifré
- Physical Review Letters, Vol. 91, Issue 14
Second Renormalization of Tensor-Network States
journal, October 2009
- Xie, Z. Y.; Jiang, H. C.; Chen, Q. N.
- Physical Review Letters, Vol. 103, Issue 16
Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions
journal, December 2008
- Jordan, J.; Orús, R.; Vidal, G.
- Physical Review Letters, Vol. 101, Issue 25