Abstract
We have investigated numerically the dynamics of quantum Fisher information (QFI) and quantum entanglement (QE) for N-level atomic system interacting with a coherent field in the presence of Kerr (linear and non-linear medium) and Stark effects. It is observed that the Stark and Kerr effects play a prominent role during the time evolution of the quantum system. The evolving quantum Fisher information (QFI) is noted as time grows under the non-linear Kerr medium contrary to the QE for higher dimensional systems. The effect of non-linear Kerr medium is greater on the QE as we increase the value of Kerr parameter. However, QFI and QE maintain their periodic nature under atomic motion. On the other hand, linear Kerr medium has no prominent effects on the dynamics of N-level atomic system. Furthermore, it has been observed that QFI and QE decay soon under the influence of Stark effect. In short, the N-level atomic system is found prone to the change of the Kerr medium and Stark effect for higher dimensional systems.
Highlights
Parameter estimation is a foundation of different branches of science and technology
We have investigated numerically the dynamics of quantum Fisher information (QFI) and quantum entanglement (QE) for N-level atomic system interacting with a coherent field in the presence of Kerr and Stark effects
Where as a periodic behaviour of QFI and entanglement is observed in the presence of atomic motion
Summary
Parameter estimation is a foundation of different branches of science and technology. Quantum dynamics of a two-level atom having interaction with two-/multi-mode cavity field in the presence of a Kerr like medium has been investigated [28] [29]. 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]. It is observed that there is an interesting monotonic relation between the QFI and nonlocal correlation behavior measured by the negativity depending on choosing the estimator parameter during the time evolution In this present paper our main focus is to investigate the QE and dynamics N-level moving atomic system which is interacting with coherent field in presence of Kerr medium and Stark shift.
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