An on-demand source of non-local energy-entangled quantum states using Levitons

Abstract

We propose a device where Electronic Quantum Optics (EQO) is combined with a BCS superconductor -- a reservoir of Cooper pairs. With spin polarized wave guides, this version of the Cooper pair beam splitter is driven by an AC drive, and observables such as period-averaged noise are computed using a Keldysh-Nambu-Floquet formalism. When the (low frequency) voltage applied to the superconductor consists of a train of periodic Lorentzian pulses and the Andreev regime is specified (large gap limit), this allows to propose an on-demand source of non-local energy-entangled states (which we characterise with perturbation theory) operating in the AC regime. We study realistic experimental parameters for our device in order to examine its feasibility.