Possible equivalence of Feynman's backflow and spin-dependent correlations

S. A. Vitiello, Kevin Schmidt, S. Fantoni

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The topic in the title has produced debate about whether spin-dependent correlations should be used in trial wave functions for Hamiltonians that are independent of spin. We investigate this question by calculating the ground-state properties of a small system of 3He atoms using the variational Monte Carlo method and trial wave functions, first, with explicit backflow correlations and second, with spin-dependent correlations. We review how backflow and spin-dependent correlations can be made approximately equivalent, and then give Monte Carlo results which demonstrate that spin-dependent correlations can substantially reproduce the effect of backflow correlations.

Original languageEnglish (US)
Pages (from-to)5647-5650
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume55
Issue number9
StatePublished - Mar 1 1997
Externally publishedYes

Fingerprint

Wave functions
equivalence
Hamiltonians
Ground state
Monte Carlo methods
Atoms
wave functions
Monte Carlo method
ground state
atoms

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Possible equivalence of Feynman's backflow and spin-dependent correlations. / Vitiello, S. A.; Schmidt, Kevin; Fantoni, S.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 55, No. 9, 01.03.1997, p. 5647-5650.

Research output: Contribution to journalArticle

@article{0bdb4e12cd3b41f5b1ee310be36ea69f,
title = "Possible equivalence of Feynman's backflow and spin-dependent correlations",
abstract = "The topic in the title has produced debate about whether spin-dependent correlations should be used in trial wave functions for Hamiltonians that are independent of spin. We investigate this question by calculating the ground-state properties of a small system of 3He atoms using the variational Monte Carlo method and trial wave functions, first, with explicit backflow correlations and second, with spin-dependent correlations. We review how backflow and spin-dependent correlations can be made approximately equivalent, and then give Monte Carlo results which demonstrate that spin-dependent correlations can substantially reproduce the effect of backflow correlations.",
author = "Vitiello, {S. A.} and Kevin Schmidt and S. Fantoni",
year = "1997",
month = "3",
day = "1",
language = "English (US)",
volume = "55",
pages = "5647--5650",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "9",

}

TY - JOUR

T1 - Possible equivalence of Feynman's backflow and spin-dependent correlations

AU - Vitiello, S. A.

AU - Schmidt, Kevin

AU - Fantoni, S.

PY - 1997/3/1

Y1 - 1997/3/1

N2 - The topic in the title has produced debate about whether spin-dependent correlations should be used in trial wave functions for Hamiltonians that are independent of spin. We investigate this question by calculating the ground-state properties of a small system of 3He atoms using the variational Monte Carlo method and trial wave functions, first, with explicit backflow correlations and second, with spin-dependent correlations. We review how backflow and spin-dependent correlations can be made approximately equivalent, and then give Monte Carlo results which demonstrate that spin-dependent correlations can substantially reproduce the effect of backflow correlations.

AB - The topic in the title has produced debate about whether spin-dependent correlations should be used in trial wave functions for Hamiltonians that are independent of spin. We investigate this question by calculating the ground-state properties of a small system of 3He atoms using the variational Monte Carlo method and trial wave functions, first, with explicit backflow correlations and second, with spin-dependent correlations. We review how backflow and spin-dependent correlations can be made approximately equivalent, and then give Monte Carlo results which demonstrate that spin-dependent correlations can substantially reproduce the effect of backflow correlations.

UR - http://www.scopus.com/inward/record.url?scp=0041092258&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041092258&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0041092258

VL - 55

SP - 5647

EP - 5650

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 9

ER -