Overview

Here we provide a number of commented example pages that serve as short tutorials on how to use PEPSKit in various situations. Applications span from two-dimensional quantum models, including fermionic Hamiltonians, to classical three-dimensional statistical mechanics:

Optimization

• Optimizing the 2D Heisenberg model
• Optimizing the $U(1)$-symmetric Bose-Hubbard model
• Néel order in the $U(1)$-symmetric XXZ model
• Fermi-Hubbard model with $f\mathbb{Z}_2 \boxtimes U(1)$ symmetry, at large $U$ and half-filling

Time Evolution

• Simple update for the Heisenberg model
• Simple update for the Fermi-Hubbard model at half-filling
• Three-site simple update for the $J_1$-$J_2$ model

Partition Functions

• The 2D classical Ising model using CTMRG
• The 3D classical Ising model

Boundary MPS

• Boundary MPS contractions of 2D networks