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Worm Algorithm for Continuous-space Path Integral Monte Carlo Simulations

M. Boninsegni·N. Prokof'ev·B. Svistunov
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Abstract

We present a new approach to path integral Monte Carlo (PIMC) simulations based on the worm algorithm, originally developed for lattice models and extended here to continuous-space many-body systems. The scheme allows for efficient computation of thermodynamic properties, including winding numbers and off-diagonal correlations, for systems of much greater size than that accessible to conventional PIMC. As an illustrative application of the method, we simulate the superfluid transition of Helium-four in two dimensions.

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M. Boninsegni, N. Prokof'ev, B. Svistunov. 2006-02-27. Worm Algorithm for Continuous-space Path Integral Monte Carlo Simulations. https://doi.org/10.1103/physrevlett.96.070601

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