Localized quantum walks in quasi-periodic Fibonacci arrays of waveguides

New quasi-periodic arrays of waveguides (AWs) constructed with Fibonacci sequences are proposed to realize localized quantum walks (LQWs). The proposed Fibonacci arrays of waveguides (FAWs) are simple and straightforward to make. but have a rich set of properties that are of potential use for applications in quantum communication. Our simulations show that. in contrast with randomly disordered AWs, LQWs in FAWs are highly controllable due to the deterministic disorder nature of quasi-periodic systems. Furthermore, unique LQWs with symmetrical probability distribution can be conveniently realized in the FAWs. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement