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

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 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.

authors

• Chin, Siu

published proceedings

• Phys Rev E Stat Nonlin Soft Matter Phys

altmetric score

• 0.5

author list (cited authors)

• Chin, S. A.

citation count

• 17

complete list of authors

• Chin, Siu A

publication date

• March 2015

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review E: Statistical, Nonlinear, and Soft Matter Physics  Journal

keywords

• 0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics

PubMed Central ID

• 25871047

Digital Object Identifier (DOI)

• 10.1103/PhysRevE.91.031301

URI

• https://hdl.handle.net/1969.1/181520

start page

• 031301

volume

• 91

issue

• 3

URL

• http://dx.doi.org/10.1103/physreve.91.031301