Quantum Walks in Quasi-Periodic Photonics Lattices
Dan Trung Nguyen, Daniel A. Nolan, Nicholas F. Borrelli · IntechOpen eBooks · 2019
We present construction rules for a new class of quasiperiodic photonics lattices (QPL) to realize localized quantum walks (LQWs) deterministically.The new quasiperiodic structures are constructed symmetrically with Fibonacci, Thue-Morse, and other quasiperiodic sequences.Our construction rules allow us to build the symmetrical quasiperiodic photonics lattices.As a result, LQWs with symmetrical probability distributions can be realized in these QPLs.Furthermore, the proposed QPLs are composed with different waveguides providing both on-and off-diagonal deterministic disorders.We show LQWs in the proposed QPLs are highly programmable and controllable.