Time-Dependent Correlators of Local Spins of the One-Dimensional XY Heisenberg Chain |
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| Authors: | V S Kapitonov A G Pronko |
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| Institution: | (1) St.Petersburg State Technical University, Russia;(2) St.Petersburg Department of the, Steklov Mathematical Institute, Russia |
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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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