Bosonic central limit theorem for the one-dimensional XY model

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Abstract

We prove the central limit theorem for Gibbs states and ground states of quasifree Fermions (bilinear Hamiltonians) and those of the off critical XY model on a one-dimensional integer lattice.

Original languageEnglish
Pages (from-to)675-700
Number of pages26
JournalReviews in Mathematical Physics
Volume14
Issue number7-8
Publication statusPublished - Jul 2002

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

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