The DMC algorithm typically involves several steps:
Initialization: Start with an initial distribution of walkers representing the trial wave function. Propagation: Allow the walkers to diffuse according to the Green's function, which is related to the Hamiltonian of the system. Branching: Reproduce or eliminate walkers based on their local energy, ensuring that the population of walkers remains stable. Equilibration: Allow the system to reach a steady state where the distribution of walkers accurately represents the ground state wave function. Measurement: Calculate observables, such as the ground state energy, using the distribution of equilibrated walkers.
This process is repeated over many iterations to ensure convergence and accuracy.
