SOME APPLICATIONS OF THE BURSHTEIN EQUATION TO A FIELD-NOISY JAYNES–CUMMINGS INTERACTIONS

Abstract

We consider an application of the Burshtein equation to Jaynes–Cummings interactions possessing a field-noise modeled as the two-state random phase telegraph noise in the presence of two extra physical cases. These cases are the incorporation of respectively, (i) the atomic-noise regarded as phase damping and (ii) the Stark shift. We obtain the exact solutions to these systems to investigate the dynamical behavior of their entanglements. We observed those for the case (i), phase damping does not affect the field-noise-induced nonmonotonic behavior of the entanglement other than the amplitude of the entanglement and the optimal value of the mean dwell time at which the minimum entanglement occurs. Also, phase damping naturally accelerates the decoherence of the entanglement caused by the field-noise. For the case (ii), the Stark shift reduces the maximum value of the entanglement and induce more oscillations of the entanglement in time under the influence of the noise. This shift delays the time for the complete destruction of the entanglement and restrains the influence of the noise. We also consider the time-average of the entanglement as depending on the shift parameters. The average entanglement is a nonmonotonic function of these parameters.