In this paper, we analytically explore the dynamics of a nonlinear two-qubit system derived from a phys- ical model that describes laser-irradiated two trapped particles in the Lamb-Dicke regime under appro- priate resonance conditions and the intrinsic decoherence. The dynamics of the particle population in- version, the entanglement between the two trapped-particles and their center-of-mass modes, and the entanglement between the two trapped-particles are investigated under the Lamb-Dicke parameter and the intrinsic decoherence. In is found that, in the absence of decoherence, the generated particle-field and two trapped-particles entanglement can be enhanced by increasing the Lamb-Dicke parameter. The Lamb-Dicke nonlinearity effect on the generated stationary entanglement, the sudden death and sudden birth of the entanglement, and the intrinsic decoherence effect become more pronounced with its large values. For the high Lamb-Dicke non-linearity, the decoherence effect on the generated nonclassical ef- fects can be weakened.

In the presented paper, we introduce an analytical description for a dissipative two-mode parametric amplifier coherent cavity containing a three-level system (qutrit). Based on normalized correlation function, Q-function and its associated Wehrl entropy, the dynamics of the quantum phenomena: two-mode cavity non-classically, qutrit phase space information, and quantum coherence are investigated under the physical parameters: qutrit-cavity interactions, initial coherent intensity, and the dissipation. It is found that the generated quantum phenomena, due to the qutrit-cavity interaction, depend on the physical parameters of the initial states and the dissipation. The robustness of the quantum phenomena against the dissipation can be enhanced by decreasing the initial coherent intensity cavity. The stability and strength of the generated bunching/anti-bunching behaviour can be controlled by the cavity dissipation.

In this paper, we study a Hamiltonian system constituted by two coupled two-level
atoms (qubits) interacting with a nonlinear generalized cavity field. The nonclassical two-qubit correlation dynamics are investigated using Bures distance entanglement and local quantum Fisher information under the influences of intrinsic decoherence and qubit–qubit interaction. The effects of the superposition of two identical generalized coherent states and the initial coherent field intensity on the generated two-qubit correlations are investigated. Entanglement of sudden death and sudden birth of the Bures distance entanglement as well as the sudden changes in local Fisher information are
observed. We show that the robustness, against decoherence, of the generated two-qubit correlations can be controlled by qubit–qubit coupling and the initial coherent cavity states.

The dynamics of two charged qubits containing Josephson Junctions inside a cavity are
investigated under the intrinsic decoherence effect. New types of quantum correlations via local quantum Fisher information and Bures distance norm are explored. We show that we can control the quantum correlations robustness by the intrinsic decoherence rate, the qubit-qubit coupling as well as the initial coherent states superposition. The phenomenon of sudden changes and the freezing behavior for the local quantum Fisher information are sensitive to the initial coherent state     superposition and the intrinsic decoherence

Optical tomography is investigated for time-dependent quantum states, which are generated from coherent even and odd coherent cavity fields interacting with a two-level system (qubit) in the presence of phase damping. The effects of the qubit-cavity coupling, detuning, and cavity phase damping on the optical tomography distribution are studied. The dynamics of the optical tomography is explored for an open cavity field. We show an aspect of the alteration of the optical tomography distribution

 The effect of nonlinear medium and phase damping is investigated on an atom of three levels in different forms interacting with the SU(1,1) Lie algebra. The SU(1,1) system starts the interaction from the Perelomov coherent state, while the atom starts the interaction from excited-most state. The time dependent wave function is calculated by using the Schrödinger equation. The density matrix is obtained. The influences of damping, nonlinearity (Kerr-like medium), Perelomov coherent parameter and the Bargmann index on some non-classical properties, such as: revivals-collapses
phenomenon, entanglement and atomic variables squeezing, are investigated.

We study the behaviour of the correlation robustness of two spatially isolated charge-qubits started initially with a maximally correlated nonsymmetric Bell-state. Each charged qubit is coupled individually to a superconducting resonator coherent field. The dynamics of the qubit-resonator quantum correlations, based on trace-norm measurement-induced non-locality (MIN) and Bures distance entanglement, are investigated under the effects of the qubit-resonator interactions, intrinsic decoherence, initial coherent intensity cavity as well as of the qubit-resonator detuning. It is found that the trace-norm MIN correlation can be enhanced by the initial coherent field intensity and the detuning. The MIN is more robust, against the qubit-resonator interactions and the decoherence, than the Bures distance entanglement. Furthermore, the correlation robustness analysed for the different cases of the coherent states depends not only on the intrinsic decoherence but also on the coherent states and the qubit-resonator detuning.

An analytical solution is obtained when the Kerr medium and Stark shift are considered
as nonlinear interaction terms to the system containing two-qubit and two-mode elec-
tromagnetic field from the parametric amplifier. Dynamics of the population inversion,
cavity–qubit and qubit–qubit entanglements are analyzed under the unitary cavity–qubit
interaction, the Kerr medium and the Stark shift. The population inversion of a qubit
presents periodic revivals and collapses. The results show that the entanglement and
the population inversion as well as the inversion have the same stable intervals, that
is, the collapse intervals. It is found that the Kerr medium and the Stark shift may
lead to reduction of the periods and the amplitudes of the population inversion and
the cavity–qubit/qubit–qubit entanglement. The deteriorated qubit–qubit/cavity–qubit
entanglement and the population inversion, due to the Kerr medium, may be increased
by increasing the Stark shift and vice versa.

In this paper, we analyze the robustness of the quantum correlations of the nearest neighbor and the next-toneighbor qubits in the intrinsic noise model, that describes the dynamics of the decoherence for a system formed by 3-qubit Heisenberg XY chain. The effects of the uniformity and the inhomogeneity of the applied magnetic field are considered. The generated mixedness entropy, the robustness of the trace distance discord, measurement-induced non-locality and Bures distance correlations are examined against the spin interaction coupling, the uniformity and the inhomogeneity of the applied external magnetic field. In the absence of the intrinsic noise, the inhomogeneity of the applied magnetic field enhances the quantum correlations and the generated mixedness entropy. In the presence of the intrinsic noise for the nearest neighbor qubits, inhomogeneity effect of the magnetic field behaves as an additional decoherence resource.