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TRANSFER MATRICES IN QUANTUM MANY-BODY SYSTEMS

    https://doi.org/10.1142/9789814503815_0008Cited by:1 (Source: Crossref)
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    Abstract:

    We review the quantum transfer matrix method based on the path integral idea, and summarize useful related theorems. The eigenvalues of the transfer matrix in a quantum many-body system lead to the free energy and the correlation lengths in the thermodynamic limit. For calculating these eigenvalues efficiently, the thermal Bethe ansatz method and the Monte Carlo power method are presented. We treat also transfer matrices in quantum many-body systems at zero temperature.