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Correlation Inequalities for Classical and Quantum XY Models

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Advances in Quantum Mechanics

Part of the book series: Springer INdAM Series ((SINDAMS,volume 18))

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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Acknowledgements

The authors thank S. Bachmann and C.E. Pfister for useful comments.

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Authors and Affiliations

  1. Department of Mathematics, University of Warwick, Coventry, CV4 7AL, UK

    Costanza Benassi & Daniel Ueltschi

  2. Department of Mathematics, University of Gothenburg, Gothenburg, Sweden

    Benjamin Lees

Authors
  1. Costanza Benassi
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  2. Benjamin Lees
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  3. Daniel Ueltschi
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Corresponding author

Correspondence to Costanza Benassi .

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Editors and Affiliations

  1. International Sch. for Advanced Studies, SISSA, Trieste, Italy

    Alessandro Michelangeli

  2. International Sch. for Advanced Studies, SISSA and Sapienza University of Rome, Trieste, Italy

    Gianfausto Dell'Antonio

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Benassi, C., Lees, B., Ueltschi, D. (2017). Correlation Inequalities for Classical and Quantum XY Models. In: Michelangeli, A., Dell'Antonio, G. (eds) Advances in Quantum Mechanics. Springer INdAM Series, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-319-58904-6_2

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