Correlation of Dirac potentials and atomic inversion in cavity quantum electrodynamics
Abstract: Controlling atomic inversion in cavity quantum electrodynamics (QED) is necessary by tunning the Pauli matrices,
, in the transformations of electromagnetic field potential in one-dimensional stationary Dirac model. It can be done by the use of (Bagrov, Baldiotti, Gitman, and Shamshutdinova) BBGS-Darboux transformations \cite{bagrov14darboux} which can fully control the collapse and revival of \textit{modified} Rabi oscillations which the classical effect of electromagnetic field is taken account. It is shown that the choosing of
in the transformation generates the parabolic potential causing the total collapse of Rabi oscillations; while
yield the harmonic oscillator potentials ensuring the coherence of qubits.