Constraint effective potential of the magnetization in the quantum XY model

U. Gerber, C. P. Hofmann, F. -J. Jiang, G. Palma, P. Stebler, U. J. Wiese

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Using an improved estimator in the loop-cluster algorithm, we investigate the constraint effective potential of the magnetization in the spin 1\2 quantum XY model. The numerical results are in excellent agreement with the predictions of the corresponding low-energy effective field theory. After its lowenergy parameters have been determined with better than per mille precision, the effective theory makes accurate predictions for the constraint effective potential which are in excellent agreement with the Monte Carlo data. This shows that the effective theory indeed describes the physics in the low-energy regime quantitatively correctly.

Original languageEnglish
Article numberP06002
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2011
Issue number6
DOIs
Publication statusPublished - 2011 Jun 1

Fingerprint

XY Model
Effective Potential
Magnetization
Cluster Algorithm
magnetization
Effective Field Theory
Prediction
predictions
Energy
estimators
Physics
Estimator
Numerical Results
physics
energy
Field theory

Keywords

  • quantum Monte Carlo simulations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Constraint effective potential of the magnetization in the quantum XY model. / Gerber, U.; Hofmann, C. P.; Jiang, F. -J.; Palma, G.; Stebler, P.; Wiese, U. J.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, No. 6, P06002, 01.06.2011.

Research output: Contribution to journalArticle

Gerber, U. ; Hofmann, C. P. ; Jiang, F. -J. ; Palma, G. ; Stebler, P. ; Wiese, U. J. / Constraint effective potential of the magnetization in the quantum XY model. In: Journal of Statistical Mechanics: Theory and Experiment. 2011 ; Vol. 2011, No. 6.
@article{a3d79cb5391e41ad9ea372ef2ebbb805,
title = "Constraint effective potential of the magnetization in the quantum XY model",
abstract = "Using an improved estimator in the loop-cluster algorithm, we investigate the constraint effective potential of the magnetization in the spin 1\2 quantum XY model. The numerical results are in excellent agreement with the predictions of the corresponding low-energy effective field theory. After its lowenergy parameters have been determined with better than per mille precision, the effective theory makes accurate predictions for the constraint effective potential which are in excellent agreement with the Monte Carlo data. This shows that the effective theory indeed describes the physics in the low-energy regime quantitatively correctly.",
keywords = "quantum Monte Carlo simulations",
author = "U. Gerber and Hofmann, {C. P.} and Jiang, {F. -J.} and G. Palma and P. Stebler and Wiese, {U. J.}",
year = "2011",
month = "6",
day = "1",
doi = "10.1088/1742-5468/2011/06/P06002",
language = "English",
volume = "2011",
journal = "Journal of Statistical Mechanics: Theory and Experiment",
issn = "1742-5468",
publisher = "IOP Publishing Ltd.",
number = "6",

}

TY - JOUR

T1 - Constraint effective potential of the magnetization in the quantum XY model

AU - Gerber, U.

AU - Hofmann, C. P.

AU - Jiang, F. -J.

AU - Palma, G.

AU - Stebler, P.

AU - Wiese, U. J.

PY - 2011/6/1

Y1 - 2011/6/1

N2 - Using an improved estimator in the loop-cluster algorithm, we investigate the constraint effective potential of the magnetization in the spin 1\2 quantum XY model. The numerical results are in excellent agreement with the predictions of the corresponding low-energy effective field theory. After its lowenergy parameters have been determined with better than per mille precision, the effective theory makes accurate predictions for the constraint effective potential which are in excellent agreement with the Monte Carlo data. This shows that the effective theory indeed describes the physics in the low-energy regime quantitatively correctly.

AB - Using an improved estimator in the loop-cluster algorithm, we investigate the constraint effective potential of the magnetization in the spin 1\2 quantum XY model. The numerical results are in excellent agreement with the predictions of the corresponding low-energy effective field theory. After its lowenergy parameters have been determined with better than per mille precision, the effective theory makes accurate predictions for the constraint effective potential which are in excellent agreement with the Monte Carlo data. This shows that the effective theory indeed describes the physics in the low-energy regime quantitatively correctly.

KW - quantum Monte Carlo simulations

UR - http://www.scopus.com/inward/record.url?scp=79960256472&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960256472&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2011/06/P06002

DO - 10.1088/1742-5468/2011/06/P06002

M3 - Article

VL - 2011

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 6

M1 - P06002

ER -