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. and quantum information theory. Quantum entanglement (QE) was first studied by Schrodinge [9,10] as a basic phenomenon of quantum mechanics and it has no similarity with classical approach [11]. On the other hand, quantum correlations are used to calculate the quantum states of complex systems. The correlations of complex systems do not depend on the spatial separation of components, so the system behaves as a single system. Schrodinger explained that the information of different parts of the system would not contain the complete information of the whole system [11]. Thus, quantum correlations are the result of the quantum measurements that explain the solution and information of different physical systems such as Bell inequalities [12,13] and confirm the experimental segment of the spooky action at a distance. During the last few years, due to the extensive progress in the field of quantum information processing (QIP), the new field of quantum metrology has become important and prominent [14,15]. The importance of QE in a different process has led to the investigation of larger dimensional quantum systems and has shown an important and significant role in quantum systems of many particles [16]. Since the quantum systems are not completely closed, the dynamical response is observed when the system loses coherence due to interaction with the environment. During the interaction of a quantum system with the environment, the dynamics of the system behave as an open system. Hence, the study of the dynamics of different physical quantities, during the interaction between complex quantum systems and the environment, becomes very attractive and interesting. This interaction causes a quantum noise that creates fluctuations such as decoherence and dissipative dynamics that are not r...
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.
We have investigated numerically the dynamics of quantum Fisher information (QFI) and quantum entanglement (QE) of a two moving two-level atomic systems interacting with a coherent and thermal field in the presence of intrinsic decoherence (ID) and Kerr (non-linear medium) and Stark effects. The state of the entire system interacting with coherent and thermal fields is evaluated numerically under the influence of ID and Kerr (nonlinear) and Stark effects. QFI and von Neumann entropy (VNE) decrease in the presence of ID when the atomic motion is neglected. QFI and QE show an opposite response during its time evolution in the presence of a thermal environment. QFI is found to be more susceptible to ID as compared to QE in the presence of a thermal environment. The decay of QE is further damped at greater time-scales, which confirms the fact that ID heavily influences the system's dynamics in a thermal environment. However, a periodic behavior of entanglement is observed due to atomic motion, which becomes modest under environmental effects. It is found that a non-linear Kerr medium has a prominent effect on the VNE but not on the QFI. Furthermore, it has been observed that QFI and QE decay soon under the influence of the Stark effect in the absence of atomic motion. The periodic response of QFI and VNE is observed for both the non-linear Kerr medium and the Stark effect in the presence of atomic motion. It is observed that the Stark, Kerr, ID, and thermal environment have significant effects during the time evolution of the quantum system. Entanglement's sudden death" (ESD) and entanglement sudden birth" (ESB) are observed as a result of entanglement measure in some fascinating and striking physical phenomena [16][17][18][19][20]. The QE is generated in the un-entangled qubits after a finite evolution time in the case of sudden birth. The coherent field is an electromagnetic field (EM) that is considered to be more classical than its quantum field [21]. Squeezed, coherent (even and odd) states of the EM field do not have minimum uncertainty, and they are non-classical quantum states and have a large number of applications for quantum communications and in the detection of weak signals [22].Recently, properties of the Tavis-Cummings model (TCM) were investigated when the time-dependent interaction with field was observed. Open and closed quantum systems were studied in the case of QE between two atoms (qubits) [23,24]. Moreover, a three-photon process was discussed in the case of the QE of two moving atoms interacting with a single-mode field [25]. In [26], the authors studied the atomic Wehrl entropy (AWE) of a V-type three-level atomic system interacting with a two-mode squeezed vacuum state, and the results showed that atomic motion and mode structure play significant and prominent roles in the evolution of AWE.There is always a possibility that the real physical system naturally interacts with the surrounding environment. Decoherence or dissipation may be generated due to the interaction of the quantum system wi...
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