TY  - JOUR
AU  - Jansen, Karl
AU  - Leovey, H.
AU  - Ammon, A.
AU  - Griewank, A.
AU  - Müller-Preussker, M.
TI  - Quasi-Monte Carlo methods for lattice systems: A first look
JO  - Computer physics communications
VL  - 185
IS  - 3
SN  - 0010-4655
CY  - Amsterdam
PB  - North Holland Publ. Co.
M1  - DESY-2014-00620
M1  - DESY-13-022
M1  - HU-EP-13-05
M1  - SFB-CPP-13-13
M1  - arXiv:1302.6419
SP  - 948–959
PY  - 2014
AB  - We 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.
LB  - PUB:(DE-HGF)16 ; PUB:(DE-HGF)15
DO  - DOI:10.1016/j.cpc.2013.10.011
UR  - https://bib-pubdb1.desy.de/record/165654
ER  -