Simulations of Discrete Quantum Systems in Continuous Euclidean Time

B. B. Beard and U.-J. Wiese
Phys. Rev. Lett. 77, 5130 – Published 16 December 1996
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Abstract

We propose a new method to study path integrals for discrete quantum systems in which we work directly in the Euclidean time continuum. The method is of general interest. Here it is applied to the Heisenberg quantum antiferromagnet using a continuous-time version of a loop cluster algorithm. This algorithm is exploited to confirm the predictions of chiral perturbation theory in the extreme low temperature regime, down to T=0.01J. A fit of the low-energy parameters of chiral perturbation theory gives excellent agreement with previous results and with experiments.

  • Received 27 February 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.5130

©1996 American Physical Society

Authors & Affiliations

B. B. Beard and U.-J. Wiese

  • Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Issue

Vol. 77, Iss. 25 — 16 December 1996

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