Monte Carlo simulations for quantum harmonic and anharmonic oscillators within epistemically restricted phase-space representation
Muhammad Jauhar Kholili, Siska A. Rifianti, Eny Latifah +1 more
Abstract We investigate Monte Carlo simulations within the epistemically-restricted phase-space (ERPS) representation of quantum mechanics for harmonic and anharmonic oscillators. Compared to the variational Monte Carlo (VMC) simulations in the conventional representation, the calculation time in the ER phase-space representation is quite competitive. We also numerically show that the distribution function of the global random variable on the order of Planck’s constant in the ER phase-space representation does not significantly affect the energy accuracy, yet a particular choice of the distribution function may give a better calculation time. This work gives an alternative approach to the Monte Carlo simulations beyond those in the conventional representation of quantum mechanics.
Journal of Physics Conference Series•Jun 1, 2022•2 citations