TeNeS: Tensor Network Solver for Quantum Lattice Systems

Abstract

TeNeS (Tensor Network Solver) is a free/libre open-source software program package for calculating two-dimensional many-body quantum states based on the tensor network method and the corner transfer matrix renormalization group (CTMRG) method. This package calculates ground-state wavefunctions for user-defined Hamiltonians and evaluates user-defined physical quantities such as magnetization and correlation functions. For certain predefined models and lattices, there is a tool that makes it easy to generate input files. TeNeS uses an OpenMP/MPI hybrid parallelized tensor operation library and thus can perform large-scale calculations using massively parallel machines.

arXiv comment16 pages, 10 figures

References in corpus (44)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• Entanglement Entropy and Quantum Field Theory
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Entropy and Area
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Tensor networks for complex quantum systems
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Corner Transfer Matrix Renormalization Group Method
• Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
• Supersolid hardcore bosons on the triangular lattice
• Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
• Variational optimization with infinite projected entangled-pair states
• The iPEPS algorithm, improved: fast full update and gauge fixing
• Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
• Gradient methods for variational optimization of projected entangled-pair states
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Crystals of bound states in the magnetization plateaus of the Shastry-Sutherland model
• Two-Dimensional Tensor Product Variational Formulation
• Time Evolution of an Infinite Projected Entangled Pair State: an Efficient Algorithm
• Improved energy extrapolation with infinite projected entangled-pair states applied to the 2D Hubbard model
• Spin-S Kagome quantum antiferromagnets in a field with tensor networks
• Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
• Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians
• mVMC - Open-source software for many-variable variational Monte Carlo method
• Quantum Lattice Model Solver $\mathcal{H}\Phi$
• A tensor network annealing algorithm for two-dimensional thermal states
• Simulating excitation spectra with projected entangled-pair states
• A two-dimensional algorithm of the density matrix renormalization group
• A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase
• Time evolution of many-body localized systems in two spatial dimensions
• Excitations with projected entangled pair states using the corner transfer matrix method
• Simulation of three-dimensional quantum systems with projected entangled-pair states
• Numerical study of the hard-core Bose-Hubbard Model on an Infinite Square Lattice
• Nematic and supernematic phases in Kagome quantum antiferromagnets under a magnetic field
• A universal tensor network algorithm for any infinite lattice
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Field-enhanced quantum fuctuation in S=1/2 frustrated square lattice
• A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice
• Ground state properties of $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ determined from $\text{ab initio}$ Hamiltonian and its extensions containing Kitaev and extended Heisenberg interactions
• Frustration-Induced Supersolid Phases of Extended Bose-Hubbard Model in the Hard-Core Limit

Cited by in corpus (10)

• Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Exploiting the Hermitian symmetry in tensor network algorithms
• MateriApps LIVE! and MateriApps Installer: Environment for starting and scaling up materials science simulations
• The Cytnx Library for Tensor Networks
• Efficient optimization of variational tensor-network approach to three-dimensional statistical systems
• Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
• Programmable order by disorder effect and underlying phases through dipolar quantum simulators