Welcome to YASTN’s documentation!

YASTN - yet another symmetric tensor network

Block-sparse tensor algebra library supporting abelian symmetries together with MPS and PEPS implementations powered by symmetric tensor.

Table of contents:

• QUICKSTART
  • 2D Fermi-Hubbard model at finite temperature
  • Kibble-Zurek quench in 2D transverse-field Ising model
• YASTN
  • What are abelian-symmetric tensors
    • Basic concepts
  • API: yastn and yastn.Tensor
    • YASTN configuration
    • Specifying symmetry
    • Create Leg (vector space)
    • Creating symmetric YASTN tensors
    • Predefined YASTN tensors
    • Accessing YASTN tensors
    • Algebra with YASTN tensors
    • Inspecting YASTN tensors
    • Autograd support
    • Krylov methods
    • Dispatching contractions
  • Examples: basics of usage
    • Basic tensor initialization and creation operations
    • Serialization of symmetric tensors
    • Linear algebra with symmetric tensors
    • Decompositions of symmetric tensors
• MPS
  • What are matrix product states
    • Basic concepts
  • API: yastn.tn.mps
    • Creating MPS and MPO
    • Properties
    • Expectation values
    • Algebra
    • Canonizing MPS/MPO
    • Density matrix renormalization group (DMRG)
    • Time-dependent variational principle (TDVP)
    • Variational overlap maximization
    • Environments
  • Examples: basics of usage
    • Initialization and creation operations
    • Expectation values
    • Algebra
    • Algorithms for MPS
• fPEPS
  • What are projected entangled pair states
    • Basic concepts
  • API: yastn.tn.fpeps
    • Lattice Geometry
    • Creating PEPS
    • Time evolution
    • Environments
  • Examples: basics of usage
    • Lattice geometry
    • CTMRG for 2D Ising model

Indices and tables

• Index

• Module Index

• Search Page