The purpose of this project is to study the evolution of entanglement in continuous-variable systems interacting with a dissipative environment. We are going to use a set of different non-Gaussian states in order to represent the initial state of the system of interest. Particularly we will study the quantum evolution of the reduced density operator of cat states, fock states and superpositions of Gaussian wave packets. In order to observe the entanglement we are going to apply various separability criteria that have shown efficiency for non-Gaussian states. The free evolution will be studied in linear and non-linear regimes. For example, we are going to analyse the entanglement evolution in the Fermi-Pasta-Ulam problem in which a group of particles interact through non-harmonic potentials. Finally, the system will be coupled to a dissipative environment modeled, at the first stage, as an infinity set of harmonic oscillators but also we are interested in the influence on the system of interest of the number of the environment's degrees of freedom and the presence of non-harmonic terms that could generate non-Gaussian evolution. On the one hand the environment's role is understood between the usual view as the responsible for decoherence in quantum systems, but on the other hand we recognize the importance that it could have as a mediator of new correlations between subsystems.
News published in Agência FAPESP Newsletter about the scholarship: