@Article{CiCP-28-5,
author = {Shi, Jin and Xiantao, Li},
title = {Random Batch Algorithms for Quantum Monte Carlo Simulations},
journal = {Communications in Computational Physics},
year = {2020},
volume = {28},
number = {5},
pages = {1907--1936},
abstract = {<p style="text-align: justify;">Random batch algorithms are constructed for quantum Monte Carlo simulations. The main objective is to alleviate the computational cost associated with the
calculations of two-body interactions, including the pairwise interactions in the potential energy, and the two-body terms in the Jastrow factor. In the framework of variational Monte Carlo methods, the random batch algorithm is constructed based on the
over-damped Langevin dynamics, so that updating the position of each particle in an $N$-particle system only requires&nbsp;$\mathcal{O}(1)$ operations, thus for each time step the computational cost for $N$ particles is reduced from&nbsp;$\mathcal{O}(N^2)$ to&nbsp;$\mathcal{O}(N)$. For diffusion Monte Carlo
methods, the random batch algorithm uses an energy decomposition to avoid the computation of the total energy in the branching step. The effectiveness of the random
batch method is demonstrated using a system of liquid $^4$He atoms interacting with a
graphite surface.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2020-0168},
url = {https://global-sci.com/article/79744/random-batch-algorithms-for-quantum-monte-carlo-simulations}
}