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

Murg, V. and Verstraete, F. and Cirac, J. I. (2005) Efficient Evaluation of Partition Functions of Inhomogeneous Many-Body Spin Systems. Physical Review Letters, 95 (5). Art. No. 057206. ISSN 0031-9007. doi:10.1103/PhysRevLett.95.057206.

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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.

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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.
Subject Keywords:many-body problems; spin systems; numerical analysis; correlation theory; boson systems
Issue or Number:5
Record Number:CaltechAUTHORS:MURprl05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3566
Deposited By: Archive Administrator
Deposited On:15 Jun 2006
Last Modified:08 Nov 2021 19:57

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