High-order Path Integral Monte Carlo methods for solving quantum dot problems
Computational Physics
2015-06-23 v2
Abstract
The conventional second-order Path Integral Monte Carlo method is plagued with the sign problem in solving many-fermion systems. This is due to the large number of anti-symmetric free fermion propagators that are needed to extract the ground state wave function at large imaginary time. In this work, we show that optimized fourth-order Path Integral Monte Carlo methods, which use no more than 5 free-fermion propagators, can yield accurate quantum dot energies for up to 20 polarized electrons with the use of the Hamiltonian energy estimator.
Cite
@article{arxiv.1411.6682,
title = {High-order Path Integral Monte Carlo methods for solving quantum dot problems},
author = {Siu A. Chin},
journal= {arXiv preprint arXiv:1411.6682},
year = {2015}
}
Comments
14 pages, 4 figures, submitted to PRE - revised with a new figure and added larger N calculations