Quantum-Classical Analogies in Waveguide Arrays: From Fourier Transforms to Ion-Laser Interactions

摘要

By using the fact that infinite and semi-infinite systems of differential equations may be casted as Schr?dinger-like equations we show how quantum-classical analogies may be achieved. In particular we show how the analogies of ion-laser, functions of a phase operator and quantised-field-two-level-atom interactions may be emulated. We also show a realization of the fractional discrete Fourier transform.