This paper carries out the integration of the resonant nonlinear Schrodinger’s equation in presence of perturbation terms that ¨ are considered with full nonlinearity. The three types of nonlinear media are studied. They are the cubic nonlinearity, power law and log law nonlinearity. The semi-inverse variational principle is applied to extract the analytical soliton solution.

The quantum breathers (QB) state in terms of two-phonon bound state (TPBS) via detailed quantum calculations was already shown in ferroelectrics in a periodic boundary condition. In this work on metamaterials for application in antenna arrays as split-ring resonators (SRR), only the temporal variation of the number of quanta in a non-periodic boundary condition is detailed for a Klein-Gordon lattice. A generalized Hamiltonian containing dielectric permittivity is considered which was then quantized by bosonic operators to study the temporal evolution of quanta. Moreover, the time of redistribution of quanta that is proportional to QB’s lifetime in femtosecond shows significant variation with different quanta at different values of dielectric permittivity, which has implications in the applications in relevant devices.

Quantum information and computation, based on quantum correlations of quantum systems, is one of the promising new fields of physics and information science. Entanglement is the key resource of quantum information processing. However, it is shown recently that quantum entanglement is not the only kind of quantum correlations useful for quantum information processing. Quantum systems without any entanglement can still be helpful for quantum information processing since unentangled systems could have another kind of quantum correlations – quantum discord. Thus, quantum discord has drawn much attention in recent years. Here, we briefly review the concepts and properties of quantum discord. Several measures of discord including the original measure of discord,