Product Wave Function Renormalization Group Method

Abstract

The authors propose a fast numerical renormalization group method --- the product wave function renormalization group (PWFRG) method --- for 1D quantum lattice models and 2D classical ones. A variational wave function, which is expressed by a matrix product, is improved through a self-consistent calculation. The new method has the same fixed point as the density matrix renormalization group method.

9 pages, TeX and 3 post script figures. to appear in J. Phys. Soc. Jpn

References in corpus (1)

• Density Matrix Renormalization Group Method for 2D Classical Models

Cited by in corpus (63)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• The iTEBD algorithm beyond unitary evolution
• Corner Transfer Matrix Renormalization Group Method
• New Trends in Density Matrix Renormalization
• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• Applying matrix product operators to model systems with long-range interactions
• Advances on Tensor Network Theory: Symmetries, Fermions, Entanglement, and Holography
• Tensor Network Algorithms: a Route Map
• Faster Methods for Contracting Infinite 2D Tensor Networks
• Ground State Phase Diagrams of Frustrated Spin-S XXZ Chains: Chiral Ordered Phases
• Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
• Numerical Renormalization Group at Criticality
• Equilibrium Shape of Crystals
• Magnetization Process of One-Dimensional Quantum Antiferromagnet: The Product Wavefunction Renormalization Group Approach
• Numerical Renormalization Approach to Two-Dimensional Quantum Antiferromagnets with Valence-Bond-Solid Type Ground State
• First-order quantum phase transition in the orthogonal-dimer spin chain
• Universal Asymptotic Eigenvalue Distribution of Density Matrices and the Corner Transfer Matrices in the Thermodynamic Limit
• Fixed Point of the Finite System DMRG
• Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases
• Middle-Field Cusp Singularities in the Magnetization Process of One-Dimensional Quantum Antiferromagnets
• Mutual information in classical spin models
• Delta-Function Bose Gas Picture of S=1 Antiferromagnetic Quantum Spin Chains Near Critical Fields
• Antiferromagnetic Zigzag Spin Chain in Magnetic Fields at Finite Temperatures
• Exploiting translational invariance in Matrix Product State simulations of spin chains with periodic boundary conditions
• Statistical Mechanical Calculation of Anisotropic Step Stiffness of a Two-Dimensional Hexagonal Lattice Gas Model with Next-Nearest-Neighbor Interactions: Application to Si(111) Surface
• Anisotropic Antiferromagnetic Spin Chains in a Transverse Field: Reentrant Behavior of the Staggered Magnetization
• On calculation of vector spin chirality for zigzag spin chains
• Density Matrix Renormalization Group Method for the Random Quantum One-Dimensional Systems - Application to the Random Spin-1/2 Antiferromagnetic Heisenberg Chain -
• Few-body systems capture many-body physics: tensor network approach
• Sticky steps inhibit step motions near equilibrium
• Phase diagram of step faceting for sticky steps
• Entanglement bipartitioning and tree tensor networks
• Height of a faceted macrostep for sticky steps in a step-faceting zone
• Finite-temperature dynamics with the density-matrix renormalization group method
• Vicinal Surface with Langmuir Adsorption: A Decorated Restricted Solid-on-solid Model
• Non-universal equilibrium crystal shape results from sticky steps
• Statistical Mechanics of the Vicinal Surfaces with Adsorption
• Topological disentangler for the valence-bond-solid chain
• The Correlated Block Renormalization Group
• Ground-State Phase Diagram of Frustrated Antiferromagnetic S=1 Chain with Uniaxial Single-Ion-Type Anisotropy
• Product Wave Function Renormalization Group: construction from the matrix product point of view
• Emergence of the XY-like phase in the deformed spin-3/2 AKLT systems
• Magnetization process for a quasi-one-dimensional S=1 antiferromagnet
• A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method
• Determination of Boundary Scattering, Intermagnon Scattering, and the Haldane Gap in Heisenberg Chains
• New quantum Monte Carlo study of quantum critical phenomena with Trotter-number-dependent finite-size scaling and non-equilibrium relaxation
• Two-Site shift Product Wave Function Renormalization Group Method Applied to Quantum Systems
• Incommensurate structures studied by a modified Density Matrix Renormalization Group Method
• Density Matrix and Renormalization for Classical Lattice Models
• Uniform Matrix Product State in the Thermodynamic Limit
• Infinite-size density matrix renormalization group with parallel Hida's algorithm
• The Density Matrix Renormalization Group technique with periodic boundary conditions
• Extended Delta-map: a map-based foreground removal method for CMB polarization observations
• Hyperoptimized approximate contraction of tensor networks for rugged-energy-landscape spin glasses on periodic square and cubic lattices
• Incommensurate Matrix Product State for Quantum Spin Systems
• Hole-doping effects on a frustrated spin ladder
• Real-Space Renormalization Group Method Applied to Quantum Lattice Hamiltonians
• Symmetry-Protected Local Minima in Infinite DMRG
• Relationship Between Macrostep Height and Surface Velocity for a Reaction-Limited Crystal Growth Process
• Mutual information in interacting spin systems
• Intrinsic Step Jamming in Nanometer-Scale KPZ-like Rough Surfaces under Interface-Limited Crystal Growth and Retreat