We explore the quantum correlations (QCs) of two non-interacting two-level systems (qubits). Each qubit is embedded in an open cavity, the cavities are linked by an optical fiber and leak photons to the exter- nal environment. The quantum correlations are investigated via three different quantifiers (measurement- induced nonlocality, geometric quantum discord and negativity) under the effects of the coupling of the qubit-cavity and the fiber-cavity interactions as well as the cavity dissipations. It is found that the gen- eration of QCs and their sudden birth and death phenomena, depend not only on the qubit-cavity and fiber-cavity couplings, but also on the initial states. The robustness of the QCs against the cavity dissi- pations can be enhanced in the regime of the ultra-strong cavity-fiber coupling. We convey that it is possible to control the quantum correlations, as well as to reduce the effect of cavity dissipation.

We explore the quantum correlations (QCs) of two non-interacting two-level systems (qubits). Each qubit is embedded in an open cavity, the cavities are linked by an optical fiber and leak photons to the exter- nal environment. The quantum correlations are investigated via three different quantifiers (measurement- induced nonlocality, geometric quantum discord and negativity) under the effects of the coupling of the qubit-cavity and the fiber-cavity interactions as well as the cavity dissipations. It is found that the gen- eration of QCs and their sudden birth and death phenomena, depend not only on the qubit-cavity and fiber-cavity couplings, but also on the initial states. The robustness of the QCs against the cavity dissi- pations can be enhanced in the regime of the ultra-strong cavity-fiber coupling. We convey that it is possible to control the quantum correlations, as well as to reduce the effect of cavity dissipation.

This paper deals with the numerical solutions and convergence analysis for general
singular Lane–Emden type models of fractional order, with appropriate constraint initial conditions.
A modified reproducing kernel discretization technique is used for dealing with the fractional
Atangana–Baleanu–Caputo operator. In this tendency, novel operational algorithms are built and
discussed for covering such singular models in spite of the operator optimality used. Several numerical
applications using the well-known fractional Lane–Emden type models are examined, to expound the
feasibility and suitability of the approach. From a numerical viewpoint, the obtained results indicate
that the method is intelligent and has several features stability for dealing with many fractional
models emerging in physics and mathematics, using the new presented derivative.

In this paper, we analyze the dynamics of non-local correlations (NLCs) in an anisotropic
two-qubit Heisenberg XYZ model under the effect of the phase damping. An analytical solution is
obtained by applying a method based on the eigenstates and the eigenvalues of the Hamiltonian.
It is observed that the generated NLCs are controlled by the Dzyaloshinskii–Moriya interaction,
the purity indicator, the interaction with the environment, and the anisotropy. Furthermore, it is
found that the quantum correlations, as well as the sudden death and sudden birth phenomena,
depend on the considered physical parameters. In particular, the system presents a special correlation:
the skew-information correlation. The log-negativity and the uncertainty-induced non-locality
exhibit the sudden-change behavior. The purity of the initial states plays a crucial role on the
generated nonlocal correlations. These correlations are sensitive to the DM interaction, anisotropy,
and phase damping.

The intrinsic decoherence effect for two qubits interacting with a coherent field, under the dipoledipole
interaction and two-photon resonance, is analytically described. We investigate
numerically the population inversion and the quantum coherence. The results show that the
generated mixture entropy and the entanglement negativity, can be enhanced and protected by
the dipole-dipole interaction and by reducing the initial coherent field intensity. In particular, we
find that, the collapses and revivals of the population inversion present high sensitivity to these
physical parameters. The nonlinearity of the two-photon processes leads to a generation of a
strong two-qubit entanglement. This generated entanglement depends on the initial coherent field
intensity, the dipole-dipole interaction and the intrinsic decoherence.

The intrinsic decoherence effect for two qubits interacting with a coherent field, under the dipoledipole
interaction and two-photon resonance, is analytically described. We investigate
numerically the population inversion and the quantum coherence. The results show that the
generated mixture entropy and the entanglement negativity, can be enhanced and protected by
the dipole-dipole interaction and by reducing the initial coherent field intensity. In particular, we
find that, the collapses and revivals of the population inversion present high sensitivity to these
physical parameters. The nonlinearity of the two-photon processes leads to a generation of a
strong two-qubit entanglement. This generated entanglement depends on the initial coherent field
intensity, the dipole-dipole interaction and the intrinsic decoherence.

In this paper, a nonlinear fractional emerging telecommunication model with higher–
order dispersive cubic–quintic is studied by using two recent computational schemes. This kind
of model is arising in many applications such as machine learning and deep learning, cloud computing,
data science, dense sensor network, artificial intelligence convergence, integration of Internet of
Things, self–service IT for business users, self-powered data centers, and dense sensor networks
(DSNs) that is used in the turbine blades monitoring and health monitoring. Two practical algorithms
(modified Khater method and sech–tanh functions method) are applied to higher–order dispersive
cubic–quintic nonlinear complex fractional Schro¨ dinger (NLCFS) equation. Many novel
traveling wave solutions are constructed that do not exist earlier. These solutions are considered as
the icon key in the emerging telecommunication field, were they able to explain the physical nature
of the waves spread, especially in the dispersive medium. For more illustration, some attractive
sketches are also depicted for the interpretation physically of the achieved solutions.

In this article, we study the geometric phase in a system formed by two spatially separated
cavities interacting with the environment. Each cavity is lled by a linear optical medium and contains a
quantum well. For different initial states, the robustness of the generated geometric phase is analyzed under
the effects of the optical susceptibility, the dissipation of the cavities, the exciton-cavity and ber-cavity
couplings. Our results show that the geometric phase is extremely sensitive to the effects of the cavity-exciton
and the ber-cavity couplings as well as to the optical susceptibility. This opens new routes to understand
the storage and manipulation of quantum data in a quantum network.

Plant-associated microorganisms play a critical role in agricultural productivity. Symbiotic microorganisms interact with each other and allow their host leguminous plants to maintain optimal nutrient levels and enhance their growth. Therefore, the goal of the current study was to investigate the synergistic interaction of different symbiotic microbes and its beneficial effect on the nodulation, nodule efficiency, and growth of salt-affected chickpea plants (Cicer arietinum L.). Rhizobium sp. (MK358859) was isolated from the root nodules of chickpea plants. In vitro, magnetite nanoparticles (Fe3O4-NPs) at a concentration of 150 μg/ml significantly enhanced the growth ofRhizobium compared with bulk FeCl3. The impact of seven soil salinity levels (0, 25, 50, 75, 100, 150, and 200 mM NaCl) on germination and subsequent growth was measured. The salinity levels ranging from 25 to 150 mM significantly inhibited the growth of chickpea plants, while the 200 mM level hindered their germination. The influence of triple microbial inoculation of chickpea plants grown in soil with 0, 75 and 150 mM NaCl was studied. Inoculation with mycorrhizal fungi, Fe3O4 NP-inducedRhizobium, and endophytic Stenotrophomonas maltophilia significantly improved the nodulation, leghaemoglobin content, nitrogenase activity, and growth of chickpea grown at salinity level of 75 and 150 mM compared with the controls. The mitigation of the destructive effect of salinity stress was due to improvement in the nutritional status of plants as determined by their K, P, carbohydrate and protein contents. Such triple microbial inoculation could be a successful bio-fertilizer that can contribute to protecting chickpea plants from salinity by attenuating salt-induced oxidative damage.

Plant-associated microorganisms play a critical role in agricultural productivity. Symbiotic microorganisms interact with each other and allow their host leguminous plants to maintain optimal nutrient levels and enhance their growth. Therefore, the goal of the current study was to investigate the synergistic interaction of different symbiotic microbes and its beneficial effect on the nodulation, nodule efficiency, and growth of salt-affected chickpea plants (Cicer arietinum L.). Rhizobium sp. (MK358859) was isolated from the root nodules of chickpea plants. In vitro, magnetite nanoparticles (Fe3O4-NPs) at a concentration of 150 μg/ml significantly enhanced the growth ofRhizobium compared with bulk FeCl3. The impact of seven soil salinity levels (0, 25, 50, 75, 100, 150, and 200 mM NaCl) on germination and subsequent growth was measured. The salinity levels ranging from 25 to 150 mM significantly inhibited the growth of chickpea plants, while the 200 mM level hindered their germination. The influence of triple microbial inoculation of chickpea plants grown in soil with 0, 75 and 150 mM NaCl was studied. Inoculation with mycorrhizal fungi, Fe3O4 NP-inducedRhizobium, and endophytic Stenotrophomonas maltophilia significantly improved the nodulation, leghaemoglobin content, nitrogenase activity, and growth of chickpea grown at salinity level of 75 and 150 mM compared with the controls. The mitigation of the destructive effect of salinity stress was due to improvement in the nutritional status of plants as determined by their K, P, carbohydrate and protein contents. Such triple microbial inoculation could be a successful bio-fertilizer that can contribute to protecting chickpea plants from salinity by attenuating salt-induced oxidative damage.