Bell’s inequalities are described by the sums of correlations including non-commuting observables in each of two systems.
Bell’s inequalities violation is possible since the accuracy of any joint measurement of mentioned observables would be
limited by quantum uncertainty relations. In this work, we investigate the generating and robustness of two-qubit information
resources including two-qubit Bell nonlocality, quantum entanglement, and entropic measurement uncertainty in a two
neighboring spin-1/2 particles coupled via the Heisenberg XYZ interaction subjected to a transverse uniform magnetic field
by applying Dzyaloshinskii–Moriya (DM) and Kaplan–Shekhtman–Entin–Wohlman–Aharony (KSEA) interactions under
intrinsic decoherence. The influence of DM–KSEA interactions, external magnetic field, and intrinsic decoherence on the
dynamics of quantum correlations in our mentioned model is analyzed. Interestingly, new dynamical features of Bell nonlocality,
entanglement, and entropic uncertainty are obtained by regulating the initial state, system parameters, and decoherence.
Therefore, our results provide a helpful understanding of such dynamics and might offer an insight into measurement
estimating in open quantum systems.

An analytical description for the dynamical evolution of a qubit interacting with
two nonlinear Kerr oscillators pumped by optical parametric process is derived through
Su(1, 1)-algebraic treatment. The role of intrinsic damping, detuning and Kerr-like Medium
on the squeezing phenomenon is elucidated via information entropy squeezing. The evolutions
of the interaction of the qubit with two-mode Kerr nonlinear coupler lead to the
appearance the regular squeezing phenomenon during the chosen time-interval. The preserving
and protecting of the qubit components from the squeezing can be controlled by the
intrinsic decoherence, detuning and the Kerr-like medium effects. Where the squeezing phenomenon
deteriorates with increasing the decoherence rate, whereas, the Kerr-like medium
can not protect some qubit components from the squeezing.

An analytical solution of the master equation that describes two charge superconducting
qubits interacts with a single microwave cavity field mode within dispersive
approximation and dissipation region of the qubit damping. Quantum correlations of
a general two-qubit state (non-X-state) are studied by using three different quantum
correlation quantifiers: measurement-induced non-locality, geometric quantum discord
and logarithmic negativity. It is shown that the quantum correlations are sensitive
to the choice of the parameters of the qubit dissipation rate, coherent state intensity
and the initial qubit distribution angle. The generated oscillatory behavior of quantum
correlations is different and more prominent as the noise rate decreases at the
considered period of time.

tAn analytical solution of the master equation for two qubits-field system, in the dispersive regime, areinvestigated. The qubits are initially in Werner states and the field in coherent state. Under the influence ofthe damping, the geometric measure of quantum discord (GMQD) and the measurement-induced nonlo-cality (MIN) are investigated. GMQD and MIN are compared and illustrated their different characteristics.It is found that under the influence of damping the phenomenon of the death occurs for GMQD, but thisphenomenon does not occur for MIN even when the damping parameter is high. The initial conditionsfor the qubits play an important role in the phenomenon of collapses and revivals for GMQD and MIN.

We analyze two identical qubits interacting with a single-mode quantized
radiation field, taking into account the influence of phase damping. The qubits are
assumed to be initially in a superposition of the excited and the ground states, and the
field is in a coherent state. The effects of the damping on the purity loss of the system
and different bipartite partitions of the system [field-two qubits, qubit–(field+qubit)]
through the tangles are considered. The effect of the damping on the entanglement of
field qubits state is evaluated by the negativity. It is noted that the phenomenon of death
and rebirth of the entanglement appears.With the increase in the phase parameter, this
phenomenon disappears.

By using quantum discord (QD), measurement induced non-locality (MIN) and negativity (QE), quantum correlation
and entanglement are investigated for two qubits in two different cases for the initial two qubitWerner states, taking into
account the influence of qubit damping. It is shown that there is no asymptotic decay for MIN while asymptotic decay
exists for QD and QE. Quantum correlations cannot be strengthened by introducing the damping. The appearance time
of stationary correlations gets shorter with the increase in the damping parameter. Finally, a uniform damping qubit can
affect the stationary correlations when the qubits are initially in an entangled state.

We investigate the death of entanglement and the purity loss of a two qubits–field system in the
dispersive regime with a reservoir. For an alternative entanglement measure, we calculate the negativity
of the eigenvalues of a partially transposed density matrix and compare it with the mutual entropy. A
new measure related to the mutual entropy, namely, the index of entropy, is proposed to measure the
degree of entanglement, and this agrees well with the negativity. We found that the entanglement has
a strong sensitivity to the phase damping. The asymptotic behavior of the field states, the two qubits,
and the total system fall into a mixed state. We treat the phenomena of death of entanglement and
purity as they arise from the effect of phase damping.

In this paper, we have presented an analytic solution for two 2-level
identical atoms interacting with a single-mode quantized radiation field, taking into
account the level shifts produced by Stark shift. We assume that the two atoms are
initially prepared in the exited state and the field in a coherent state.We investigate the
purity loss of the system and bipartite partitions of the system. The effects of the Stark
shift on the purity loss of the system and different bipartite partitions of the system
(field-two atoms, atom-(field+atom)) through the tangles are considered. In particular,
the effect of the Stark shift on the amount of entanglement between atoms and field is
evaluated by the negativity.

We investigate the quantum entanglement in a system of two moving atoms interacting with a
single mode field. An analytical solution for this system is obtained when both atoms are
initially in the excited state and the field is in a coherent state. We study the effects of atomic
motion and other parameters on the entanglement of the system and different bipartite
partitions of the system (field–two atoms, atom–(field+atom)) through the tangles. The effect
of atomic motion on the amount of entanglement between atoms and the field is also evaluated
through the negativity. The results show that atomic motion leads to the periodic death and
anabiosis of the entanglement between two moving atoms, and the time of the death and the
amplitude of the anabiosis of the entanglement between two moving atoms depend on the
coupling constant of two moving atoms and the parameter of the mode field.

The interaction of two 2-level atoms inside a resonant microcavity under stimulated
emission via multi-photon-transition is considered. An analytical solution for this
system when both atoms are initially in the exited state and the field in a coherent state is
obtained. Entanglement dynamics between the two atoms taking into account the effect of
the stimulated emission is studied by using various measures of entanglement. We compare
the results for these various measures, and discuss the entanglement induced due to the
stimulated emission.