Mean Field Theory for the Quantum Rabi Model, Inconsistency to the Rotating Wave Approximation

Ghasem Asadi Cordshooli; Mehdi Mirzaee

doi:10.1016/j.physleta.2020.126287

paper

Mean Field Theory for the Quantum Rabi Model, Inconsistency to the Rotating Wave Approximation

arXiv:2002.01324 · doi:10.1016/j.physleta.2020.126287

Abstract

Considering well localized atom, the mean field theory (MFT) was applied to replace the operators by equivalent expectation values. The Rabi model was reduced to a fourth orders NDE describing atoms position. Solution by the harmonic balance method (HBM) showed good accuracy and consistency to the numerical results, which introduces it as a useful tool in the quantum dynamics studies.