Correlation inequalities for the quantum XY model

Costanza Benassi; Benjamin Lees; Daniel Ueltschi

doi:10.1007/s10955-016-1580-2

Correlation inequalities for the quantum XY model

Costanza Benassi, Benjamin Lees, Daniel Ueltschi

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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	10
Journal	Journal of Statistical Physics
Volume	164
Issue number	5
Early online date	11 Jul 2016
DOIs	https://doi.org/10.1007/s10955-016-1580-2
Publication status	Published - Sep 2016
Externally published	Yes

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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.",

keywords = "Quantum XY model, Correlation inequalities, Griffiths inequalities",

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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.

KW - Quantum XY model

KW - Correlation inequalities

KW - Griffiths inequalities

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DO - 10.1007/s10955-016-1580-2

M3 - Article

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JF - Journal of Statistical Physics

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Correlation inequalities for the quantum XY model

Abstract

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