diagonalization

Fast exact diagonalization of up to N=26 arbitrary qubit Hamiltonians

Encode symmetries in Hamiltonians and use efficient bitwise operations

Fast calculation in C++ and post-processing in Python of observables and quantities of interest

Existing models: Transverse Field Ising Model, Anisotropic Heisenberg Model, XY Model, Random-Field Heisenberg Model

Existing observables: Enerty, Magnetic order parameter, Entanglement Entropy

Backend with sparse Eigen and ARPACK with MKL BLAS and LAPACK, and OpenMP for (Arnoldi-based) eigenvalue and singular value calculations

Data saved with HDF5

Install

Under setup, please install the appropriate C++ and Python libaries with:

. setup/install.sh

Setup

For model settings (Temperature, couplings), under build, please modify the settings in main.cpp

For specific system settings (Hamiltonian, observables), under src, please modify the classes in hamiltonian.cpp

For post-processing settings, under src, please modify main.py

Run

Please use the makefile for all commands:

• make : All calculations and processing, with additional command-line arguments, as per src/main.cpp
• make run : All calculations, with additional command-line arguments, as per src/main.cpp
• make plot : All processing, with additional command-line arguments, as per src/main.py