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Efficient evaluation of partition functions of frustrated and inhomogeneous spin systems

V. Murg·F. Verstraete·J. I. Cirac
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Abstract

We present a numerical method to evaluate partition functions and associated correlation functions of inhomogeneous 2--D classical spin systems and 1--D quantum spin systems. The method is scalable and has a controlled error. We illustrate the algorithm by calculating the finite--temperature properties of bosonic particles in 1--D optical lattices, as realized in current experiments.

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V. Murg, F. Verstraete, J. I. Cirac. 2005-01-20. Efficient evaluation of partition functions of frustrated and inhomogeneous spin systems. https://doi.org/10.1103/physrevlett.95.057206

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