Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains

P. Androvitsaneas, Nikolaos G. Fytas, E. Paspalakis, A. F. Terzis

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We revisit one of the first quantum Monte Carlo methods using a combination of the Suzuki–Trotter transformation and Taylor series expansion for the XYZ Heisenberg chain S=1/2 with a magnetic field along the z-axis. We show a substantial gain in accuracy and computational time. This combination is especially useful for small magnetic fields and lower temperatures.
Original languageEnglish
Pages (from-to)4649-4656
JournalPhilosophical Magazine
Volume92
Issue number36
DOIs
Publication statusPublished - 31 Aug 2012

Fingerprint

Taylor series
series expansion
magnetic fields
Monte Carlo method
simulation
temperature

Bibliographical note

The full text is currently unavailable on the repository.

Keywords

  • quantum Monte Carlo method
  • anisotropic Heisenberg chain
  • Suzuki–Trotter transformation

Cite this

Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains. / Androvitsaneas, P.; Fytas, Nikolaos G.; Paspalakis, E.; Terzis, A. F.

In: Philosophical Magazine, Vol. 92, No. 36, 31.08.2012, p. 4649-4656.

Research output: Contribution to journalArticle

Androvitsaneas, P. ; Fytas, Nikolaos G. ; Paspalakis, E. ; Terzis, A. F. / Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains. In: Philosophical Magazine. 2012 ; Vol. 92, No. 36. pp. 4649-4656.
@article{e82c37c53e2b44548fbd0f462aa4ea0e,
title = "Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains",
abstract = "We revisit one of the first quantum Monte Carlo methods using a combination of the Suzuki–Trotter transformation and Taylor series expansion for the XYZ Heisenberg chain S=1/2 with a magnetic field along the z-axis. We show a substantial gain in accuracy and computational time. This combination is especially useful for small magnetic fields and lower temperatures.",
keywords = "quantum Monte Carlo method, anisotropic Heisenberg chain, Suzuki–Trotter transformation",
author = "P. Androvitsaneas and Fytas, {Nikolaos G.} and E. Paspalakis and Terzis, {A. F.}",
note = "The full text is currently unavailable on the repository.",
year = "2012",
month = "8",
day = "31",
doi = "10.1080/14786435.2012.716200",
language = "English",
volume = "92",
pages = "4649--4656",
journal = "Philosophical Magazine",
issn = "1478-6435",
publisher = "Taylor & Francis",
number = "36",

}

TY - JOUR

T1 - Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains

AU - Androvitsaneas, P.

AU - Fytas, Nikolaos G.

AU - Paspalakis, E.

AU - Terzis, A. F.

N1 - The full text is currently unavailable on the repository.

PY - 2012/8/31

Y1 - 2012/8/31

N2 - We revisit one of the first quantum Monte Carlo methods using a combination of the Suzuki–Trotter transformation and Taylor series expansion for the XYZ Heisenberg chain S=1/2 with a magnetic field along the z-axis. We show a substantial gain in accuracy and computational time. This combination is especially useful for small magnetic fields and lower temperatures.

AB - We revisit one of the first quantum Monte Carlo methods using a combination of the Suzuki–Trotter transformation and Taylor series expansion for the XYZ Heisenberg chain S=1/2 with a magnetic field along the z-axis. We show a substantial gain in accuracy and computational time. This combination is especially useful for small magnetic fields and lower temperatures.

KW - quantum Monte Carlo method

KW - anisotropic Heisenberg chain

KW - Suzuki–Trotter transformation

U2 - 10.1080/14786435.2012.716200

DO - 10.1080/14786435.2012.716200

M3 - Article

VL - 92

SP - 4649

EP - 4656

JO - Philosophical Magazine

JF - Philosophical Magazine

SN - 1478-6435

IS - 36

ER -