Density matrix and tensor network renormalization [electronic resource] / Tao Xiang.

Bibliographic Details
Main Author: Xiang, Tao (Physics professor) (Author)
Language:English
Published: Cambridge ; New York, NY : Cambridge University Press, 2023.
Subjects:
Renormalization group.
Tensor products.
Tensor algebra.
Density matrices.
Online Access:
Cambridge eBooks without Partner Presses: 2024 All eBooks: 2023 (Digital Object Identifier Permalink)
Format: Electronic eBook
Contents:
  • Basic algebra of tensors
  • Tensor network representation of classical statistical models
  • Tensor network representation of operators
  • Tensor network ansatz of wave functions
  • Criterion of truncation : symmetric systems
  • Real-space DMRG
  • Implementation of symmetries
  • DMRG with nonlocal basis states
  • Matrix product states
  • Infinite matrix product states
  • Determination of MPS
  • Continuous matrix product states
  • Classical transfer matrix renormalization
  • Criterion of truncation : nonsymmetric systems
  • Renormalization of quantum transfer matrices
  • MPS solution of QTMRG
  • Time-dependent methods
  • Tangent-space approaches
  • Tree tensor network states
  • Two-dimensional tensor network states
  • Coarse-graining tensor renormalization.