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Quantum spins and random loops on the complete graph

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Björnberg, Jakob E., Fröhlich, Jürg and Ueltschi, Daniel (2020) Quantum spins and random loops on the complete graph. Communications in Mathematical Physics, 375 (3). pp. 1629-1663. doi:10.1007/s00220-019-03634-x

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Official URL: http://dx.doi.org/10.1007/s00220-019-03634-x

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Abstract

We present a systematic analysis of quantum Heisenberg-, XY- and interchange models on the complete graph. These models exhibit phase transitions accompanied by spontaneous symmetry breaking, which we study by calculating the generating function of expectations of powers of the averaged spin density. Various critical exponents are determined. Certain objects of the associated loop models are shown to have properties of Poisson–Dirichlet distributions.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Quantum theory, Angular momentum, Heisenberg uncertainty principle
Journal or Publication Title: Communications in Mathematical Physics
Publisher: Springer
ISSN: 0010-3616
Official Date: May 2020
Dates:
DateEvent
May 2020Published
27 November 2020Available
7 October 2019Accepted
Volume: 375
Number: 3
Page Range: pp. 1629-1663
DOI: 10.1007/s00220-019-03634-x
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDGöteborgs universitethttp://viaf.org/viaf/140125343
Simons–CRM scholar-in-residenceSimons Foundationhttp://dx.doi.org/10.13039/100000893
2015-05195Vetenskapsrådethttp://dx.doi.org/10.13039/501100004359

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