On the algebra of fluctuation in quantum spin chains

研究成果: ジャーナルへの寄稿記事

15 引用 (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.

元の言語英語
ページ(範囲)63-83
ページ数21
ジャーナルAnnales Henri Poincare
4
発行部数1
DOI
出版物ステータス出版済み - 5 6 2003

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Quantum Spin Chain
Central limit theorem
algebra
theorems
Fluctuations
KMS States
operators
Gibbs States
Algebra
Operator
Corollary
Strictly
Interaction
Range of data
interactions

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

これを引用

On the algebra of fluctuation in quantum spin chains. / Matsui, Taku.

:: Annales Henri Poincare, 巻 4, 番号 1, 06.05.2003, p. 63-83.

研究成果: ジャーナルへの寄稿記事

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