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Efficient evaluation of partition functions of frustrated and inhomogeneous spin systems

V. Murg, F. Verstraete, J. I. Cirac

cond-mat.otherarXiv:cond-mat/0501493

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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