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.
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