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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
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 | ||||||||||||
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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: |
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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: |
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