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Phys. Rev. B 54, 14910–14913 (1996)

Error reduction using covariance in quantum Monte Carlo simulations

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Anders W. Sandvik*
National High Magnetic Field Laboratory, Florida State University, 1800 East Paul Dirac Drive, Tallahassee, Florida 32306

Received 6 May 1996; published in the issue dated 1 December 1996

A scheme utilizing covariance effects to reduce statistical errors of quantum Monte Carlo (QMC) calculations is presented. The same method can also significantly reduce certain types of systematical errors. The procedure can be carried out post-simulation, with data generated using standard QMC techniques. Here it is demonstrated for one- and two-dimensional Heisenberg antiferromagnets. Statistical errors of spin-spin correlation functions can be reduced by up to orders of magnitude.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.54.14910
DOI:
10.1103/PhysRevB.54.14910
PACS:

*Present address: Department of Physics, Univ. of Illinois at Urbana-Champaign, 1110 W. Green Street, Urbana, IL 61801.