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Time-Dependent Correlators of Local Spins of the One-Dimensional XY Heisenberg Chain

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Abstract

Time-dependent temperature correlators of the anisotropic Heisenberg XY chain are calculated by the integration techniques with respect to Grassmann variables. For a chain of length M, the correlators are represented as the determinants of 2M × 2M matrices. In the thermodynamic limit, the correlation functions are expressed in terms of the Fredholm determinants of linear integral operators with matrix kernels. Bibliography: 32 titles.

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Authors and Affiliations

  1. St.Petersburg State Technical University, Russia

    V. S. Kapitonov

  2. St.Petersburg Department of the, Steklov Mathematical Institute, Russia

    A. G. Pronko

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  1. V. S. Kapitonov
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Kapitonov, V.S., Pronko, A.G. Time-Dependent Correlators of Local Spins of the One-Dimensional XY Heisenberg Chain. Journal of Mathematical Sciences 115, 2009–2032 (2003). https://doi.org/10.1023/A:1022655914303

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