As evaluated for phase shift parameter as 3LA (, t) [435]. The dynamics
As evaluated for phase shift parameter as 3LA (, t) [435]. The dynamics from the atomic density matrix inside the estimator depended around the initial 3LA-field state | AF (0), = ei |u u| AF (0) . The quantum Fisher data is definitely the QFI is provided by FQ (t) = Tr 3LA (, t) J (, t)two , in which J (, t) denotes the symmetric logarithmic derivative operator satisfying [46] 3LA (, t) 1 = ( J (, t)3LA (, t) + 3LA (, t) J (, t)), two and 3LA (, t) has the spectral decomposition 3LAF (, t) =j(15)(16)j j (, t)| jj |,(17)The classical Fisher information primarily based on 20(S)-Hydroxycholesterol Biological Activity Equation (15) is provided by CQ ( t ) =jj (, t) j (, t)(18)Then, the QFI is associated with the classical Fisher info by FQ (t) = CQ (t) + two j,j j (, t) – j (, t) j (, t) + j (, t)| j | j |2 ,(19)where the second a single defines its quantum counterpart. Figure 3a describes the Fisher details devoid of both the dissipation as well as the deformation function. There is a monotonic relation amongst von Neumann formula and Fisher facts function. The maximum and minimum values are met symmetrically. For that reason, we noticed that the Fisher information and facts function immediately achieved the lowest values immediately after taking the dissipation into account. When the deformation role was activated, the field tom entanglement was improved, and also the minimum and maximum values had been often SC-19220 Antagonist accomplished. These oscillations were gradually erased following the inclusion in the dissipation term on the interaction cavity. The FQ (t) function reached a steady state after a brief period, as shown in Figure 3b. The worth of k was set to 5 to activate the function in the multi-photon addition. The Fisher info was slightly impacted in the multi-photon case. This result confirms that which was obtained in the von Neumann formula, namely that there was no effect of multi-photons on field-qubit entanglement, as observed in Figure 3c. The entanglement was clearly enhanced immediately after taking into account the deformation function. This entanglement was erased right after taking the dissipation into account. The Fisher data function reached a steady state just after a short time, as shown in Figure 3d.Symmetry 2021, 13,photon case. This result confirms that which was obtained in the von Neumann formula, namely that there was no effect of multi-photons on field-qubit entanglement, as observed in Figure 3c. The entanglement was clearly enhanced following taking into account the deformation function. This entanglement was erased just after taking the dissipation into account. The Fisher information and facts function reached a stable state just after a quick time, as shown 7 of 10 in Figure 3d.Figure 3. The time evolution of with the quantum Fisher information = 0 = 0 together with the sameand parameters as Figure 1. Figure three. The time evolution the quantum Fisher information FQ for for with all the identical values values and parameters as Figure 1.6. Photon Statistics and Mandel Parameter six. Photon Statistics and Mandel Parameter The photon statistics and nonclassical properties of field photons are detected by theThe photon statistics and nonclassical properties of field photons are detected by the Mandel parameter. This detection depends on the comparison with Glauber’s coherent Mandel parameter. evolution. The Mandel’s parameter regarding n = (t) ^ c (t) ^ ^ states through the timeThis detection depends upon the comparison with Glauber’sccoherent states through the time evolution. The Mandel’s parameter concerning = as [47,48] ^ n2 ()| |() as [47,48] ^ MP = – n – 1, (20) ^ nThe statistical.