Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Path Integral Monte Carlo Methods for Fermions

Ethan Ethan, Jonathan L. DuBois, David M. Ceperley

Published Mar 6, 2014• 44 citations
OpenAlex

Related papers

High-order Path Integral Monte Carlo methods for solving strongly correlated fermion problems

Siu A. Chin

Bulletin of the American Physical Society•Mar 2, 2015•0 citations

Path integral Monte Carlo for fermions

A. KUKI

•Jan 1, 1993•1 citation

Optimized Fermion Path Integral Monte Carlo

Saad A. Khairallah, Erik W. Draeger, John B. Shumway

APS•Mar 1, 2011•0 citations

Spinor path integral Quantum Monte Carlo for fermions

Daejin Shin, Hosam Yousif, John B. Shumway

Bulletin of the American Physical Society•Mar 8, 2007•0 citations

Path-integral Monte Carlo method in quantum statistics for a system ofNidentical fermions

Alexander P. Lyubartsev, P. N. Vorontsov‐Velyaminov

A rigorous expression for the partition function of N identical fermions with spin 1/2 is obtained in a form suitable for a path-integral Monte Carlo (PIMC) simulation of a many-electron system at a finite temperature. A sum over permutations is reduced to a sum over classes with readily determinable factors. A distribution over projections and values of the total spin is also obtained, enabling PIMC calculations of spin-dependent quantities. An MC algorithm is proposed which accounts simultaneously for all types of trajectory linkages. A test calculation, four electrons in a spherical cavity with a radius of 1 nm at a temperature of 300--2000 K, is performed.

Physical Review A•Dec 1, 1993•38 citations

High-order path-integral Monte Carlo methods for solving quantum dot problems

Siu A. Chin

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 antisymmetric 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 five free-fermion propagators, can yield accurate quantum dot energies for up to 20 polarized electrons with the use of the Hamiltonian energy estimator.

arXiv:1411.6682•Physical Review E•Mar 11, 2015•42 citations
A rigorous expression for the partition function of N identical fermions with spin 1/2 is obtained in a form suitable for a path-integral Monte Carlo (PIMC) simulation of a many-electron system at a finite temperature. A sum over permutations is reduced to a sum over classes with readily determinable factors. A distribution over projections and values of the total spin is also obtained, enabling PIMC calculations of spin-dependent quantities. An MC algorithm is proposed which accounts simultaneously for all types of trajectory linkages. A test calculation, four electrons in a spherical cavity with a radius of 1 nm at a temperature of 300--2000 K, is performed.
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 antisymmetric 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 five free-fermion propagators, can yield accurate quantum dot energies for up to 20 polarized electrons with the use of the Hamiltonian energy estimator.