Real-space imaginary-time propagators for non-local nucleon-nucleon potentials

J. E. Lynn, Kevin Schmidt

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.

Original languageEnglish (US)
Article number014324
JournalPhysical Review C - Nuclear Physics
Volume86
Issue number1
DOIs
StatePublished - Jul 19 2012

Fingerprint

nucleon potential
propagation
nuclear structure
Monte Carlo method
Green's functions
sampling
momentum

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Real-space imaginary-time propagators for non-local nucleon-nucleon potentials. / Lynn, J. E.; Schmidt, Kevin.

In: Physical Review C - Nuclear Physics, Vol. 86, No. 1, 014324, 19.07.2012.

Research output: Contribution to journalArticle

@article{f65628c64e614ee08fbf6ded68778e39,
title = "Real-space imaginary-time propagators for non-local nucleon-nucleon potentials",
abstract = "Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.",
author = "Lynn, {J. E.} and Kevin Schmidt",
year = "2012",
month = "7",
day = "19",
doi = "10.1103/PhysRevC.86.014324",
language = "English (US)",
volume = "86",
journal = "Physical Review C - Nuclear Physics",
issn = "0556-2813",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Real-space imaginary-time propagators for non-local nucleon-nucleon potentials

AU - Lynn, J. E.

AU - Schmidt, Kevin

PY - 2012/7/19

Y1 - 2012/7/19

N2 - Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.

AB - Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.

UR - http://www.scopus.com/inward/record.url?scp=84864415363&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864415363&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.86.014324

DO - 10.1103/PhysRevC.86.014324

M3 - Article

VL - 86

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 1

M1 - 014324

ER -