Benchmark data are presented in folders that correspond to different Hamiltonian types. For example, the folder TFIsing contains data for the transverse-field Ising model.
Data for each specific Hamiltonian are presented in a file, whose filename describes the lattice geometry (see lattice.md, except for impurity models) and other parameters such as interaction strength and number of fermions.
The file is a Markdown table, and each row shows a result from a specific numerical method, with the following information:
-
Energy: the energy expectation$\langle H \rangle$ of the whole system -
Sigma: the statistical error on the energy expectation, for methods where this is relevant -
Energy Variance: the value of$\langle H^2 \rangle - \langle H \rangle^2$ . Even if it reaches the machine precision, please fill in the machine precision and do not leave it blank -
DOF: number of degrees of freedom. For spins and spinless fermions it is the number of particles, and for spinful fermions it isNup + Ndown -
Einf: zero point of energy, usually defined as the energy expectation at infinite temperature -
Method: a short description of the method, with literature reference if applicable -
Data Repository: if present, it points to the location of the data necessary to reproduce the result
Note that all rows in a same file always have the same DOF and Einf, but we replicate them in every row to simplify data analysis.
The plots in the paper are presented in the folder scripts/. To reproduce them, run the following (on Linux with Python 3 installed):
cd scripts/
pip install -r requirements.txt
./plot_all.sh