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

02/02/2020

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by   Ghasem Asadi Cordshooli, et al.

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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.