fPEPS

Fermionic projected entangled-pairs states and related algorithms. Abelian-symmetric tensor algebra is provided by YASTN.

What are projected entangled pair states

What are projected entangled pair states

• Basic concepts
  • Projected Entangled Pair States (PEPS)
  • Fermionic anticommutation rules in PEPS
  • Infinite PEPS (iPEPS)
  • Time evolution
  • Neighborhood tensor update (NTU)
  • Corner transfer matrix renormalization group (CTMRG)
  • Purification
  • References & Related Works

API: yastn.tn.fpeps

API: yastn.tn.fpeps

• Lattice Geometry
  • Basic Elements
  • Core Classes
• Creating PEPS
  • Initializing empty PEPS
  • Initializing product PEPS
  • Import and export PEPS
  • Double-layer PEPS
  • Double PEPS Tensor
• Time evolution
  • Evolution step
  • Gates
  • Predefined gates
• Environment NTU
  • Neighborhood tensor update environments
  • Approximate cluster update
• Environment CTM
  • EnvCTM
  • EnvCTM_local
• Environment BoundaryMPS
  • EnvBoundaryMPS
• Environment BP
  • Belief propagation environments

Examples: basics of usage

Examples: basics of usage

• Lattice geometry
• CTMRG for 2D Ising model
• 2D Fermi-Hubbard model at finite temperature
• Kibble-Zurek quench in 2D transverse-field Ising model