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000165654 1001_ $$0P:(DE-H253)PIP1003636$$aJansen, Karl$$b0$$eCorresponding author
000165654 245__ $$aQuasi-Monte Carlo methods for lattice systems: A first look
000165654 260__ $$aAmsterdam$$bNorth Holland Publ. Co.$$c2014
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000165654 520__ $$aWe investigate the applicability of quasi-Monte Carlo methods to Euclidean lattice systems for quantum mechanics in order to improve the asymptotic error behavior of observables for such theories. In most cases the error of an observable calculated by averaging over random observations generated from an ordinary Markov chain Monte Carlo simulation behaves like N−1/2N−1/2, where NN is the number of observations. By means of quasi-Monte Carlo methods it is possible to improve this behavior for certain problems to N−1N−1, or even further if the problems are regular enough. We adapted and applied this approach to simple systems like the quantum harmonic and anharmonic oscillator and verified an improved error scaling.
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000165654 7001_ $$0P:(DE-HGF)0$$aLeovey, H.$$b1
000165654 7001_ $$0P:(DE-H253)PIP1005939$$aAmmon, A.$$b2
000165654 7001_ $$0P:(DE-HGF)0$$aGriewank, A.$$b3
000165654 7001_ $$0P:(DE-HGF)0$$aMüller-Preussker, M.$$b4
000165654 773__ $$0PERI:(DE-600)1466511-6$$a10.1016/j.cpc.2013.10.011$$gp. S0010465513003391$$n3$$p948–959$$tComputer physics communications$$v185$$x0010-4655$$y2013
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