Quantum correlations between each two-level system in a pair of atoms and general coherent fields

Abdel‐Khalek, S.; Berrada, K.; Alkhateeb, Sadah A.

doi:10.1016/j.rinp.2016.09.002

Cited by 13 publications

(4 citation statements)

References 39 publications

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“…We employ the Mandel's parameter, which is suggested as a precise measure for the characteristics of the photons statistics of the single mode field. The Mandel's parameter is described in terms of the photon number average as [43] Q Using the relation (12) to analyze the behavior of photons in a quantum system (3).…”

Section: Nonclassical Properties Of the Coherent Fieldmentioning

confidence: 99%

A nonlinear quantum scheme of a single mode optical field and a four-level atom under energy dissipation effect

Raffah

Berrada

Khalil

et al. 2023

Preprint

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In this interferometry the geometrical phase, von-Neumann entropy, and non-classical features of a field interacting with a four-level moving atom in the presence of a Kerr medium were investigated. We highlight the influence of intensity-dependent coupling and energy dissipation to examine the temporal behavior of the geometrical phase, the statistical properties of the field as well as the von-Neumann entropy. The results show that the evolution of system dynamics, atomic von-Neumann entropy, and geometrical phase are strongly influenced by the Kerr medium, field mode structure, and atomic motion. Using empirically available parameters, we test this result, and many new items are discovered.

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Section: Nonclassical Properties Of the Coherent Fieldmentioning

confidence: 99%

A nonlinear quantum scheme of a single mode optical field and a four-level atom under energy dissipation effect

Raffah

Berrada

Khalil

et al. 2023

Preprint

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“…The Mandel parameter applied to measure the non-classicality of the field or its photon statistics within the interaction time. Mandel [28,29] first attempted to highlight the nonclassicality of a quantum state. The Mandel parameter can be formulated in terms of the mean photon number…”

Section: Mandel Parameter Dynamics and Field Photon Statisticsmentioning

confidence: 99%

Photon statistics and non-local properties of a two-qubit-field system in the excited negative binomial distribution

2022

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In this paper, a quantum scheme for a two-qubit system (2QS) and field initially prepared in the excited negative binomial distribution is presented. The field photon statistics is detected from the evolution of the Mandel parameter, while the evolution of von Neumann entropy detects the nonlocal correlation between the 2QS and radiation field. The concurrence is used to detect the qubit-qubit entanglement during the time evolution. The dynamical properties of single-qubit and two-qubit quantum Fisher information are investigated. We visualize the number of photon excitations on the field in negative binomial states with influence of photon success probability. A connection is provided between the dynamical behaviors of these statistical quantities. We have found that the proposed quantities are strongly influenced by the number of excited photons of the field in negative binomial states and photon success probability.

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“…The Mandel parameter (MP) is adopted for measuring the non-classicality of arbitrary quantum conditions. Mandel [45,46] made an earlier attempt to highlight the non-classicality of a quantum condition. These studies investigated the field and presented the parameter of measuring the photon number statistics' deviation from the Poisson distribution and the coherent states' features and defined as…”

Section: Photon Statistics and Mandel Parametermentioning

confidence: 99%

Predication and Photon Statistics of a Three-Level System in the Photon Added Negative Binomial Distribution

et al. 2022

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Statistical and artificial neural network models are applied to forecast the quantum scheme of a three-level atomic system (3LAS) and field, initially following a photon added negative binomial distribution (PANBD). The Mandel parameter is used to detect the photon statistics of a radiation field. Explicit forms of the PANBD are given. The prediction of the Mandel parameter, atomic probability of the 3LAS in the upper state, and von Neumann entropy are obtained using time series and artificial neural network methods. The influence of probability success photons and the number of added photons to the NBD are examined. The total density matrix is used to compute and analyze the time evolution of the initial photonic negative binomial probability distribution that governs the 3LAS–field photon entanglement behavior. It is shown that the statistical quantities are strongly affected by probability success photons and the number of added photons to the NBD. Also, the prediction of quantum entropy is achieved by the time series and neural network.

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Quantum correlations between each two-level system in a pair of atoms and general coherent fields

Cited by 13 publications

References 39 publications

A nonlinear quantum scheme of a single mode optical field and a four-level atom under energy dissipation effect

A nonlinear quantum scheme of a single mode optical field and a four-level atom under energy dissipation effect

Photon statistics and non-local properties of a two-qubit-field system in the excited negative binomial distribution

Predication and Photon Statistics of a Three-Level System in the Photon Added Negative Binomial Distribution

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