Correlation inequalities for the quantum XY model

Costanza Benassi; Benjamin T Lees; Daniel Ueltschi

doi:10.1007/s10955-016-1580-2

Correlation inequalities for the quantum XY model

Costanza Benassi, Benjamin T Lees, Daniel Ueltschi

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

4 Citations (Scopus)

Abstract

We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti.

Original language	English
Pages (from-to)	1157--1166
Number of pages	9
Journal	Journal of Statistical Physics
Volume	164
DOIs	https://doi.org/10.1007/s10955-016-1580-2
Publication status	Published - 2016

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title = "Correlation inequalities for the quantum XY model",

abstract = "We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti.",

author = "Costanza Benassi and Lees, {Benjamin T} and Daniel Ueltschi",

year = "2016",

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T1 - Correlation inequalities for the quantum XY model

AU - Benassi, Costanza

AU - Lees, Benjamin T

AU - Ueltschi, Daniel

PY - 2016

Y1 - 2016

N2 - We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti.

AB - We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti.

U2 - 10.1007/s10955-016-1580-2

DO - 10.1007/s10955-016-1580-2

M3 - Article (Academic Journal)

C2 - 27546905

SN - 0022-4715

VL - 164

SP - 1157

EP - 1166

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

ER -

Correlation inequalities for the quantum XY model

Abstract

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