Abstract
We investigated numerically the dynamics of quantum Fisher information (QFI) and entanglement for three- and four-level atomic systems interacting with a coherent field under the effect of Stark shift and Kerr medium. It was observed that the Stark shift and Kerr-like medium play a prominent role during the time evolution of the quantum systems. The non-linear Kerr medium has a stronger effect on the dynamics of QFI as compared to the quantum entanglement (QE). QFI is heavily suppressed by increasing the value of Kerr parameter. This behavior was found comparable in the cases of three- and four-level atomic systems coupled with a non-linear Kerr medium. However, QFI and quantum entanglement (QE) maintain their periodic nature under atomic motion. On the other hand, the local maximum value of QFI and von Neumann entropy (VNE) decrease gradually under the Stark effect. Moreover, no prominent difference in the behavior of QFI and QE was observed for three- and four-level atoms while increasing the value of Stark parameter. However, three- and four-level atomic systems were found equally prone to the non-linear Kerr medium and Stark effect. Furthermore, three- and four-level atomic systems were found fully prone to the Kerr-like medium and Stark effect.
Highlights
Parameter estimation has diverse applications in the field of quantum information technology
We studied the dynamical evolution of quantum Fisher information
We investigated numerically the dynamics of quantum Fisher information (QFI) and entanglement for three- and four-level atomic systems interacting with a coherent field under the effect of Stark shift and Kerr medium
Summary
Parameter estimation has diverse applications in the field of quantum information technology. Quantum dynamics of a two-level atom having interaction with two-/multi-modes of the cavity field in the presence of a Kerr like medium has been investigated [29,30,31]. The Stark shift mechanism is explained in this situation by considering the process of adiabatic elimination of the middle level(s) of a multi-level atom [45] This method calculates a simple effective Hamiltonian of a two-level atom interacting with a quantized field of single-mode with at least two-photon transition in the presence of Stark shift [46]. We calculated the QFI and VNE of the three- and four-level atomic systems interacting with coherent field under the effect of non-linear Kerr medium and Stark shift in the presence of atomic motion and without atomic motion. Where D(Φ, t) is the quantum score [55] (the symmetric logarithmic derivative) that can be written as
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