On the algebra of fluctuation in quantum spin chains

研究成果: Contribution to journalArticle査読

16 被引用数 (Scopus)

抄録

We present a proof of the central limit theorem for a pair of mutually non-commuting operators in mixing quantum spin chains. The operators are not necessarily strictly local but quasi-local. As a corollary we obtain a direct construction of the time evolution of the algebra of normal fluctuation for Gibbs states of finite range interactions on a one-dimensional lattice. We show that the state of the algebra of normal fluctuation satisfies the β-KMS condition if the microscopic state is a β-KMS state. We show that any mixing finitely correlated state satisfies our assumption for the central limit theorem.

本文言語英語
ページ(範囲)63-83
ページ数21
ジャーナルAnnales Henri Poincare
4
1
DOI
出版ステータス出版済み - 2003

All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 核物理学および高エネルギー物理学
  • 数理物理学

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