On the efficient numerical solution of lattice systems with low-order couplings

Autor: Ammon, A., Genz, A., Hartung, T., Jansen, K., Leövey, H., Volmer, J.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1016/j.cpc.2015.09.004
Popis: We apply the Quasi Monte Carlo (QMC) and recursive numerical integration methods to evaluate the Euclidean, discretized time path-integral for the quantum mechanical anharmonic oscillator and a topological quantum mechanical rotor model. For the anharmonic oscillator both methods outperform standard Markov Chain Monte Carlo methods and show a significantly improved error scaling. For the quantum mechanical rotor we could, however, not find a successful way employing QMC. On the other hand, the recursive numerical integration method works extremely well for this model and shows an at least exponentially fast error scaling.
Databáze: arXiv