Exact Diagonalization for Lattice Gauge Theories!

The Exact Diagonalization Library for Lattice Gauge Theories provides a powerful set of tools for performing exact diagonalization calculations on 2-dimensional lattices, specifically targeting both Abelian and non-Abelian Lattice Gauge Theories. This library empowers researchers and practitioners in the field of quantum many-body systems to analyze and explore the behavior of complex lattice gauge theories through the precise computation of Hamiltonian eigenvalues and eigenvectors.

Contents:

• Installation and Setup
  • Setup
  • Exploiting SIMSIO library to manage I/O of simulations
  • Run Simulations
• Modeling
  • QMBTerm Base
  • LocalTerm Class
  • TwoBodyTerm Class
  • PlaquetteTerm Class
  • NBodyTerm Class
  • Quantum Many Body (QMB) Operations
  • QMB Hamiltonian Class
  • Tools for a Quantum Many Body (QMB) State
  • Masks
• Entanglement
  • Partitions
  • Psi Matrix
  • Schmidt
  • Density Matrix
• QMB Hamiltonian Models
  • Quantum Many Body Model Class
  • Ising Model Class
  • Bose Hubbard Model Class
  • XYZ Model Class
  • QED LGT Model Class
  • SU2 Yang Mills LGT Model Class
  • DFL Model Class
  • Z2-Fermi-Hubbard LGT Model Class
• Operators
  • Spin Operators
  • Bose/Fermi Operators
  • SU2 Operators
  • SU2 Rishons
  • SU2 Singlets
  • QED Operators
  • Zn Operators
  • Z2 Fermi-Hubbard Operators
• Symmetries
  • Quantum Many Body State Configurations
  • Global Abelian Symmetries
  • Local (Link) Abelian Symmetries
  • Reference Symmetry Checks
  • Inversion Symmetry
  • Translational Symmetry
  • Symmetry-Reduced QMB Operator Operations
  • Combined Symmetry Sectors
• Tools
  • Checks
  • Config Encoding
  • Derivatives
  • Managing IN/OUT data
  • Mappings Between 1D Indices and Lattice Coordinates
  • Measures
  • Plotting
  • Stabilizers
• License

Indices and Tables

• Index

• Module Index

• Search Page