Correlation inequalities for classical and quantum XY models

Costanza Benassi; Benjamin T Lees; Daniel Ueltschi

doi:10.1007/978-3-319-58904-6_2

Correlation inequalities for classical and quantum XY models

Costanza Benassi, Benjamin T Lees, Daniel Ueltschi

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Abstract

We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily smaller than that of the Ising model, in both the classical and quantum cases. We also discuss an explicit lower bound on the critical temperature of the quantum XY model.

Original language	English
Title of host publication	Advances in Quantum Mechanics
Editors	A. Michelangeli, G. Dell'Antonio
Publisher	Springer, Cham
Pages	15-31
Number of pages	16
Volume	18
ISBN (Electronic)	978-3-319-58904-6
ISBN (Print)	978-3-319-58903-9
DOIs	https://doi.org/10.1007/978-3-319-58904-6_2
Publication status	Published - 2017

Publication series

Name	Advances in Quantum Mechanics
Publisher	Springer

Access to Document

10.1007/978-3-319-58904-6_2

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title = "Correlation inequalities for classical and quantum XY models",

abstract = "We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily smaller than that of the Ising model, in both the classical and quantum cases. We also discuss an explicit lower bound on the critical temperature of the quantum XY model.",

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Correlation inequalities for classical and quantum XY models. / Benassi, Costanza; Lees, Benjamin T; Ueltschi, Daniel.

Advances in Quantum Mechanics. ed. / A. Michelangeli; G. Dell'Antonio. Vol. 18 Springer, Cham, 2017. p. 15-31 (Advances in Quantum Mechanics).

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

TY - GEN

T1 - Correlation inequalities for classical and quantum XY models

AU - Benassi, Costanza

AU - Lees, Benjamin T

AU - Ueltschi, Daniel

PY - 2017

Y1 - 2017

N2 - We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily smaller than that of the Ising model, in both the classical and quantum cases. We also discuss an explicit lower bound on the critical temperature of the quantum XY model.

AB - We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily smaller than that of the Ising model, in both the classical and quantum cases. We also discuss an explicit lower bound on the critical temperature of the quantum XY model.

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DO - 10.1007/978-3-319-58904-6_2

M3 - Conference Contribution (Conference Proceeding)

SN - 978-3-319-58903-9

VL - 18

T3 - Advances in Quantum Mechanics

SP - 15

EP - 31

BT - Advances in Quantum Mechanics

A2 - Michelangeli, A.

A2 - Dell'Antonio, G.

PB - Springer, Cham

ER -