Monte Carlo simulations for quantum harmonic and anharmonic oscillators within epistemically restricted phase-space representation

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M.J. Kholili, S.A. Rifianti, E. Latifah, A.R.T. Nugraha

2022 Journal of Physics: Conference Series Vol. 2243 Issue 1 Conference paper Cited by 3 Quartile

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. © Published under licence by IOP Publishing Ltd.

Affiliations

Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), Tangerang Selatan, 15314, Indonesia; Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Malang, Malang, 65145, Indonesia