Correlation functions of the openXXZchain: I

2007/07/13 by N. Kitanine, N Kitanine, Karol K. Kozłowski +7
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum and electron transport phenomena #Quantum many-body systems #hep-th

paper · pdf · doi:10.1088/1742-5468/2007/10/p10009

published as J.Stat.Mech.0710:P10009,2007 · 44 pages

arxiv created 2007/07/13 · openalex publication_date 2007/10/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02

Abstract

We consider the XXZ spin chain with diagonal boundary conditions in the framework of the algebraic Bethe ansatz. Using the explicit computation of the scalar products of Bethe states and a revisited version of the bulk quantum inverse problem, we calculate the elementary building blocks for the correlation functions. In the limit of a half-infinite chain, they are obtained as multiple integrals of usual functions, similar to the case of periodic boundary conditions.

Citations

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