Monte Carlo Simulation for Quantum Harmonic and Anharmonic Oscillator within Epistemically Restricted Phase Space Representation M. Jauhar Kholili, Siska A. Rifianti, Eny Latifah, Ahmad R. T. Nugraha
Indonesian Institute of Sciences
Abstract
We perform Monte Carlo simulations within the epistemically-restricted phase-space formulation of quantum mechanics for harmonic and anharmonic oscillators using a global random variable on the order of Planck^s constant. The calculation speeds in these simulations for finding the energy expectation values of the harmonic and anharmonic oscillators are comparable to the standard variational Monte Carlo simulation. We also numerically prove that the distribution function of the global random variable does not significantly affect the energy accuracy and speedup. This work paves the way toward the development of an alternative model of more efficient Monte Carlo simulations of various quantum systems.
Keywords: Monte Carlo simulation, Phase-space formulation, Quantum oscillators
