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Title: Precise Extrapolation of the Correlation Function Asymptotics in Uniform Tensor Network States with Application to the Bose-Hubbard and XXZ Models

Journal Article · · Physical Review. X
; ;

Not Available

Research Organization:
Los Alamos National Laboratory (LANL)
Sponsoring Organization:
Laboratory Directed Research and Development (LDRD); USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1483456
Report Number(s):
LA-UR-18-20465; 041033
Journal Information:
Physical Review. X, Journal Name: Physical Review. X Journal Issue: 4 Vol. 8; ISSN PRXHAE; ISSN 2160-3308
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (69)

Finitely correlated states on quantum spin chains journal March 1992
Ornstein-Zernike decay in the ground state of the quantum Ising model in a strong transverse field journal April 1991
Ornstein-Zernike theory for finite range Ising models above T c journal March 2003
Artificial Spin-Ice and Vertex Models journal January 2017
Numerical renormalization group at criticality journal April 1996
Mott transition in one dimension journal February 1997
The density-matrix renormalization group in the age of matrix product states journal January 2011
A practical introduction to tensor networks: Matrix product states and projected entangled pair states journal October 2014
Ultracold bosons with short-range interaction in regular optical lattices journal January 2016
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems journal March 2008
Critical behaviour of spin-s Heisenberg antiferromagnetic chains: analytic and numerical results journal March 1989
Transfer matrices and excitations with matrix product states journal May 2015
On form-factor expansions for the XXZ chain in the massive regime journal May 2015
Thermal form factor approach to the ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime journal September 2016
The 16-vertex model and its even and odd 8-vertex subcases on the square lattice journal September 2017
Statistical Mechanics of the X Y Model. II. Spin-Correlation Functions journal February 1971
Vertical-Arrow Correlation Length in the Eight-Vertex Model and the Low-Lying Excitations of the X − Y − Z Hamiltonian journal November 1973
Tensor network decompositions in the presence of a global symmetry journal November 2010
Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model journal April 2013
Phase diagrams and correlation exponents for quantum spin chains of arbitrary spin quantum number journal November 1986
Critical theory of quantum spin chains journal October 1987
Spin-(1/2 antiferromagnetic XXZ chain: New results and insights journal February 1989
Correlation functions of one-dimensional quantum systems journal March 1989
Boson localization and the superfluid-insulator transition journal July 1989
Conductivity of a Luttinger liquid journal October 1992
Density-matrix algorithms for quantum renormalization groups journal October 1993
Numerical renormalization-group study of the correlation functions of the antiferromagnetic spin-1/2 Heisenberg chain journal July 1995
Accuracy of the density-matrix renormalization-group method journal June 1996
One-dimensional Bose-Hubbard model with nearest-neighbor interaction journal May 2000
Density matrix renormalization group algorithms with a single center site journal November 2005
Matrix product states represent ground states faithfully journal March 2006
Scaling of entanglement support for matrix product states journal July 2008
Tensor network states and algorithms in the presence of a global U(1) symmetry journal March 2011
Critical properties and Rényi entropies of the spin- 3 2 X X Z chain journal April 2012
Matrix product states for critical spin chains: Finite-size versus finite-entanglement scaling journal August 2012
Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study journal June 2013
Conformal data from finite entanglement scaling journal January 2015
Gap scaling at Berezinskii-Kosterlitz-Thouless quantum critical points in one-dimensional Hubbard and Heisenberg models journal April 2015
Variational approach to projected entangled pair states at finite temperature journal July 2015
Truncating an exact matrix product state for the XY model: Transfer matrix and its renormalization journal December 2015
Thermal Ising transitions in the vicinity of two-dimensional quantum critical points journal April 2016
Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature journal May 2016
Unifying time evolution and optimization with matrix product states journal October 2016
Matrix product state renormalization journal November 2016
Variational tensor network renormalization in imaginary time: Benchmark results in the Hubbard model at finite temperature journal December 2016
Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model journal March 2017
Overcoming the sign problem at finite temperature: Quantum tensor network for the orbital e g model on an infinite square lattice journal July 2017
Error estimates for extrapolations with matrix-product states journal January 2018
Variational optimization algorithms for uniform matrix product states journal January 2018
Critical behavior of the two-dimensional icosahedron model journal December 2017
Residual entropies for three-dimensional frustrated spin systems with tensor networks journal October 2018
Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions journal December 2008
Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points journal June 2009
Time-Dependent Variational Principle for Quantum Lattices journal August 2011
Competing States in the t - J Model: Uniform d -Wave State versus Stripe State journal July 2014
Critical Behavior of Two-Dimensional Hydrogen-Bonded Antiferroelectrics journal June 1969
Effective Harmonic-Fluid Approach to Low-Energy Properties of One-Dimensional Quantum Fluids journal December 1981
Density matrix formulation for quantum renormalization groups journal November 1992
Critical Behavior of the S = 3 / 2 Antiferromagnetic Heisenberg Chain journal June 1996
New Quantum Phase in a One-Dimensional Josephson Array journal November 1997
Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms journal December 2015
Finite Correlation Length Scaling in Lorentz-Invariant Gapless iPEPS Wave Functions journal July 2018
Finite Correlation Length Scaling with Infinite Projected Entangled-Pair States journal July 2018
The renormalization group: Critical phenomena and the Kondo problem journal October 1975
Corner Transfer Matrix Renormalization Group Method journal April 1996
Corner Transfer Matrix Algorithm for Classical Renormalization Group journal October 1997
Relationship among Exactly Soluble Models of Critical Phenomena. I: 2D Ising Model, Dimer Problem and the Generalized journal November 1971
Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations journal November 1976
Critical properties of the eight-vertex model in a field journal September 2016

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