SciPost Physics Codebases

SciPost Phys. Codebases 4 (2022) · published 23 August 2022

• doi: 10.21468/SciPostPhysCodeb.4
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Abstract

ITensor is a system for programming tensor network calculations with an interface modeled on tensor diagram notation, which allows users to focus on the connectivity of a tensor network without manually bookkeeping tensor indices. The ITensor interface rules out common programming errors and enables rapid prototyping of tensor network algorithms. After discussing the philosophy behind the ITensor approach, we show examples of each part of the interface including Index objects, the ITensor product operator, tensor factorizations, tensor storage types, algorithms for matrix product state (MPS) and matrix product operator (MPO) tensor networks, quantum number conserving block-sparse tensors, and the NDTensors library. We also review publications that have used ITensor for quantum many-body physics and for other areas where tensor networks are increasingly applied. To conclude we discuss promising features and optimizations to be added in the future.

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• Lee et al., Triangular lattice Hubbard model physics at intermediate temperatures
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• Bacciconi et al., First-order photon condensation in magnetic cavities: A two-leg ladder model
  SciPost Phys. 15, 113 (2023) [Crossref]
• Chanda et al., Spectral properties of the critical (1+1)-dimensional Abelian-Higgs model
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• Huang et al., Spatial inversion symmetry breaking of vortex current in a biased-ladder superfluid
  Phys. Rev. Research 6, 013037 (2024) [Crossref]
• Shinaoka et al., Multiscale Space-Time Ansatz for Correlation Functions of Quantum Systems Based on Quantics Tensor Trains
  Phys. Rev. X 13, 021015 (2023) [Crossref]
• Fava et al., Divergent Nonlinear Response from Quasiparticle Interactions
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• Wauters et al., Simulations of the dynamics of quantum impurity problems with matrix product states
  Phys. Rev. B 109, 115101 (2024) [Crossref]
• Zhai et al., Block2: A comprehensive open source framework to develop and apply state-of-the-art DMRG algorithms in electronic structure and beyond
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  Phys. Rev. B 108, L081304 (2023) [Crossref]
• Joshi et al., Exploring large-scale entanglement in quantum simulation
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• Di Liberto et al., Chiral orbital order of interacting bosons without higher bands
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• Manalo et al., Microscopic design of a synthetic spin-1 chain in an InAsP quantum dot array
  Phys. Rev. B 109, 085112 (2024) [Crossref]
• Pasnoori et al., Boundary quantum phase transitions in the spin- 12 Heisenberg chain with boundary magnetic fields
  Phys. Rev. B 107, 224412 (2023) [Crossref]
• Jiang et al., Density matrix renormalization group based downfolding of the three-band Hubbard model: Importance of density-assisted hopping
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• Scheie et al., Proximate spin liquid and fractionalization in the triangular antiferromagnet KYbSe2
  Nat. Phys. 20, 74 (2024) [Crossref]
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  Phys. Rev. B 108, 205110 (2023) [Crossref]
• Li et al., Exploring dynamical quantum phase transitions in a spin model with deconfined critical point via the quantum steering ellipsoid
  Phys. Rev. B 107, 085130 (2023) [Crossref]
• Wauters et al., Topological Kondo model out of equilibrium
  Phys. Rev. B 108, L220302 (2023) [Crossref]
• Chetcuti et al., Interference dynamics of matter-waves of SU($N$) fermions
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• Köhler et al., Exploring disordered quantum spin models with a multilayer multiconfigurational approach
  Phys. Rev. Research 5, 023135 (2023) [Crossref]
• Korbmacher et al., Lattice control of nonergodicity in a polar lattice gas
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• Riedel et al., WaveTrain: A Python package for numerical quantum mechanics of chain-like systems based on tensor trains
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• Wang et al., Validity of SLAC fermions for the (1+1) -dimensional helical Luttinger liquid
  Phys. Rev. B 108, 045105 (2023) [Crossref]
• Wu et al., From tensor-network quantum states to tensorial recurrent neural networks
  Phys. Rev. Research 5, L032001 (2023) [Crossref]
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