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Published July 29, 2005 | public
Journal Article Open

Efficient Evaluation of Partition Functions of Inhomogeneous Many-Body Spin Systems

Abstract

We present a numerical method to evaluate partition functions and associated correlation functions of inhomogeneous 2D classical spin systems and 1D 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 1D optical lattices, as realized in current experiments.

Additional Information

©2005 The American Physical Society (Received 20 January 2005; published 28 July 2005) We thank M. A. Martin-Delgado and D. Porras for discussions. Work is supported by the DFG, European projects (IST and RTN) and the Kompetenznetzwerk der Bayrischen Staatsregierung Quanteninformation.

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