NiklasBli/nqs-rbm

Model Card

• GitHub Repository: (https://github.com/NiklasBliemel/nqs-rbm)
• Developed by: Niklas Bliemel
• Model type: RBM
• Language(s) (NLP): Python

Repository Guide:

• main Branch: requirements and source code (model architecture, hamiltonian and training scheme)
• other Branches: parameters of trained model, used configuration and visualization (training graphs etc.)
  • naming-convention: L{number_of_sites}_g{transverse_field_strength}

Transverse Field Ising (TFI) Hamiltonian

For this hamiltonian the RBM is searching the groundstate.

$$H=-\sum _{i=1}^L{\widehat{S}}_{z,i}{\widehat{S}}_{z,i+1}-g\sum _{i=1}^L{\widehat{S}}_{x,i}H\; =\; -\backslash sum\_\{i=1\}^L\; \backslash hat\; S\_\{z,i\}\; \backslash hat\; S\_\{z,i+1\}\; -\; g\; \backslash sum\_\{i=1\}^L\; \backslash hat\; S\_\{x,i\}$$