Effects of Kerr Medium and Stark Shift Parameter on Wehrl Entropy and the Field Purity for Two-Photon Jaynes–Cummings Model Under Dispersive Approximation

Naim, Abdullah F. Al; Khan, Javed Y.; Khalil, E. M.; Abdel‐Khalek, S.

doi:10.1007/s10946-019-09764-w

Cited by 24 publications

(5 citation statements)

References 39 publications

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“…This section outlines the main results to the dynamical behavior of the GP between the system's initial and final states. The GP is defined as 49,50…”

Section: Geometric Phasementioning

confidence: 99%

Engineering entanglement, geometric phase, and quantum Fisher information of a three‐level system with energy dissipation

Abdel‐Khalek

Abo‐Dahab

Ragab

et al. 2020

Math Methods in App Sciences

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Quantum Fisher information (QFI) and geometric phase have recently performed different tasks in quantum information technology. We investigate the statistical quantities as the QFI and entanglement of a three-level atom in Λ configuration interacting with a quantized field mode by using linear entropy. We study the dynamical behavior of the geometric phase based on the engineering of a three-level atomic configuration. We analyze the effect of energy dissipation of the dynamical properties of the geometric phase and the QFI as an entanglement quantifier between the three-level atom and field. We explore the correlation between the engineering geometric phase and QFI in the absence and presence of energy dissipation effect. We have found that the QFI is very sensitive to the effect of the time-dependent coupling and energy dissipation.

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“…This section outlines the main results to the dynamical behavior of the GP between the system's initial and final states. The GP is defined as 49,50…”

Section: Geometric Phasementioning

confidence: 99%

Engineering entanglement, geometric phase, and quantum Fisher information of a three‐level system with energy dissipation

Abdel‐Khalek

Abo‐Dahab

Ragab

et al. 2020

Math Methods in App Sciences

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“…Also, the influence of this shift on the amount of the correlation between the quantum system has been investigated in the two-photon [14]. The ESS was examined for the interaction between two 2-level atoms and a single-mode radiation field [15]. The behavior of the correlation between a bi-level atom and a bi-modal entangled field is studied, in which the effects of a Kerr-like medium and a SS on Wehrl entropy and field purity are discussed [16].…”

Section: Introductionmentioning

confidence: 99%

Effect of stark shift on three-level atom interacting with a correlated two-mode of non-linear coherent state

et al. 2022

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In this manuscript, we study a new non-linear system which represents a ?-type five level atom interacting with a quantized four-mode electromagnetic field. A non-linear Stark shift is introduced, through the elimination of intermediate levels (two and four) using the adiabatic elimination technique. By using the Schrodinger equation we obtain the analytic solution this model. Some statistical aspects through the effective Hamiltonian are presented such as the collapses-revivals phenomenon, degree of purity, concurrence, and the squeezing phenomenon with respect to study the effect of Stark shift parameters on these statistical aspects. For small values of the Stark shift parameter, the collapse times increase and the atomic inversion symmetry axis shifts upward, while the entanglement decreases significantly. It has been noted that the system is affected by the Stark shift parameter.

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“…Also, a Kerr-like medium has been included in many models, because of its wide impact in measuring the amount of entanglement between quantum systems, whether they contain one or several atoms [43,49]. The interactions between the atom and the field related to a single mode or several modes in the presence of stark shift have been studied [50]. The Stark shift has a direct impact on the amount of entanglement between the field and the atom [51].…”

Section: Introductionmentioning

confidence: 99%

Analytical formula of the wehrl entropy and wehrl phase distribution of the field in generalized coherent squeezed states

et al. 2022

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In this framework, the effect of a Kerr-like medium and the coupling function dependent on the number of photons operator on the interaction between a two-level atom and a non-linear field is studied. A relation between the Kerr-like medium parameter and the field-atom coupling parameter is used to obtain a simplified formula for Rabi frequency. The wave function of the proposed model is obtained, followed by the derivation of the phase distribution and from which the wehrl entropy formula is calculated. The effect of the initial state and the non-linear func?tion dependent on the number of photons operator and the Kerr-like medium on entanglement is calculated through the Wehrl entropy formula, wehrl distribution and the behaviour of photons by studying the correlation function. The entangle?ment decreases when the function dependent on the number of photons operator is taken into account, while the entanglement gradually improves when the squeezed state is considered, and the entanglement decreases significantly when considering the Kerr medium. An oscillatory distribution is formed between the classical and non-classical in the coherent state. The non-classical distribution disappears when considering the squeezed state and the Kerr-like medium.

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Effects of Kerr Medium and Stark Shift Parameter on Wehrl Entropy and the Field Purity for Two-Photon Jaynes–Cummings Model Under Dispersive Approximation

Cited by 24 publications

References 39 publications

Engineering entanglement, geometric phase, and quantum Fisher information of a three‐level system with energy dissipation

Engineering entanglement, geometric phase, and quantum Fisher information of a three‐level system with energy dissipation

Effect of stark shift on three-level atom interacting with a correlated two-mode of non-linear coherent state

Analytical formula of the wehrl entropy and wehrl phase distribution of the field in generalized coherent squeezed states

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