M.O. Hardiyono, A.R.T. Nugraha, E. Latifah
We investigate the phase-space representation of quantum mechanics as a platform to perform Monte Carlo simulation of the non-interacting Jaynes-Cummings-Rabi (JCR) model involving a two-level hydrogen atom as a qubit and a quantum har-monic oscillator as a photonic cavity. Our algorithm starts by defining a trial wave function for solving the JCR model and then implement it on the "epistemically-restricted"phase-space representation, known as Budiyono-Rochrlich theory, with a Monte-Carlo sampling for the phase-space distribution, which is useful to obtain the average energy of our JCR model. We find that the numerical results are close to the analytical ones for every separate system in the JCR model, i.e., the hydrogen and the oscillator, calculated independently. Combining the two components in the non-interacting JCR model, the calculated energy values for the ground and the first excited states are then found to be - 0.91 a.u. and 0.41 a.u. with corresponding standard errors of 9.12×10-8 a.u. and 1.95×10-8 a.u., respectively. We expect that the method presented in this paper can be an alternative approach to solving various qubit-photon systems. © 2023 Author(s).
Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Malang, Malang, 65145, Indonesia; Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), South Tangerang, 15314, Indonesia
