Dynamics of entanglement and quantum Fisher information for N-level atomic system under intrinsic decoherence

Anwar, S. Jamal; Ramzan, Muhammad; Khan, M.K.R.

doi:10.1007/s11128-017-1589-8

Cited by 27 publications

(12 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results of our former studies [16,27,28] are in similar in Figures 3-4. N, C and E, which are the other advanced measurements defining entanglement motion, have been worked out in literature [7,11,18,28,29,30]. We show the quantum correlations with negativity for coupling parameters.…”

Section: The Measure Of Negativity and Discussionmentioning

confidence: 91%

In the Context of Time-Independent Parameters in Two Quantum Systems: Quantum Entanglement and Correlations With Negativity Measurement

Dermez

Tunçer

2020

Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler

View full text Add to dashboard Cite

In this paper, we consider two phonons and three-level trapped ion in configuration forming Hilbert 12-space. The negativity and quantum correlations are revealed in trapped ion two phonon states system. Three values of LDP, = 0.006, =0.06 and =0.08 are given. The effects of the time-independent coupling in terms of the system, degree of quantum entanglement are investigated. Therefore, we have found the main optimal times for obtaining the high amount of entanglement with negativity.

show abstract

Section: The Measure Of Negativity and Discussionmentioning

confidence: 91%

In the Context of Time-Independent Parameters in Two Quantum Systems: Quantum Entanglement and Correlations With Negativity Measurement

Dermez

Tunçer

2020

Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler

View full text Add to dashboard Cite

show abstract

“…However, QE and QFI saturated to a lower level for longer time-scales under these environments in the absence of atomic motion.It is ought to be mentioned that the thermal environment induce decaying of the QE faster as compared to the decay induced by the ID when the atomic motion was not present. Based on [64], the results of our numerical calculations show that two two-level atomic systems are more robust against the variations in the chosen parameters. Finally, it was revealed that the presented system can be useful for generating and maintaining QE between the two two-level atoms in the presence of these environments.…”

Section: Discussionmentioning

confidence: 94%

Quantum Fisher Information and Entanglement of Moving Two Two-Level Atoms under the Influence of Environmental Effects

Anwar

Usman

Ramzan

et al. 2019

Physics

Self Cite

View full text Add to dashboard Cite

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...

show abstract

“…Moreover, observations have been made to calculate the QE of pure state by using FI. In this regard, the entanglement evaluation and QFI of N-level atomic system under the influence of intrinsic decoherence is studied [49]. Also, the time evolution of the QFI of a system whose dynamics is described by the phase-damped model has been studied [50].…”

Section: S J Anwar Et Al Journal Of Quantum Information Sciencementioning

confidence: 99%

Stark and Kerr Effects on the Dynamics of Moving N-Level Atomic System

Anwar¹,

Ramzan²,

Usman³

et al. 2019

JQIS

View full text Add to dashboard Cite

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.

show abstract

Dynamics of entanglement and quantum Fisher information for N-level atomic system under intrinsic decoherence

Cited by 27 publications

References 55 publications

In the Context of Time-Independent Parameters in Two Quantum Systems: Quantum Entanglement and Correlations With Negativity Measurement

In the Context of Time-Independent Parameters in Two Quantum Systems: Quantum Entanglement and Correlations With Negativity Measurement

Quantum Fisher Information and Entanglement of Moving Two Two-Level Atoms under the Influence of Environmental Effects

Stark and Kerr Effects on the Dynamics of Moving N-Level Atomic System

Contact Info

Product

Resources

About