Entanglement production and quantum transport in a non-ideal chaotic cavity: random scattering matrix approach

This talk consists of two parts, dealing with electron transport in a quantum dot connected to the external world via one ideal and one partially transparent lead.

First, I present an analytical approach to the distribution of concurrence and squared norm for the production of (orbital) entanglement in such systems as a function of the opacity of the non-ideal lead. In particular, we find that the entanglement production is enhanced when the transparency of one of the contacts is not ideal, but only up to a critical value, beyond which no net improvement with respect to the ideal case can be exploited.

Then in the same setting as before, we consider statistics of electronic transport in chaotic cavities where time-reversal symmetry is broken. Using symmetric function expansions and a generalized Selberg integral, we develop a systematic perturbation theory in the opacity strength. The results are valid for arbitrary number of channels (propagating modes), and we obtain explicit formulas up to second order for the average and variance of the conductance, and for the average shot-noise.

Higher moments of the conductance are considered to leading order.

Persona di contatto:Paolo Facchi

Relatore:dr. Pierpaolo VIVO , Laboratoire de Physique Theorique et Modeles Statistiques, Univ. XI Paris Sud