By using a small rotation approach, we show that it is possible to obtain well behaved perturbed solutions for the amplitude of the electromagnetic field propagating in a photonic waveguide array. This array mimics the propagation of a quasiparticle among the sites of an infinite one-dimensional chain.
Coherent manipulation of a single photon’s propagation behaviors is investigated theoretically through fully utilizing the external coherent driving fields exerted into a one-dimensional optical waveguide system with multiple three-level Λ-type periodically arrayed atoms. It is explicitly shown that the transmission amplitude can be changed arbitrarily and dramatically between one and zero as well as maintain a large-scale steady threshold by constructing the corresponding transition pathways. This characteristic presented above demonstrates that the external controllable tool can perform efficiently as a useful large-scale functional gate to engineer the photon’s propagation behavior such as determinedly targeting its travelling direction, which could have some potential applications in the multi-dimensional quantum network.
We propose an optical simulation of dissipation-induced correlations in one-dimensional (1D) interacting bosonic systems, using a two-dimensional (2D) array of linear photonic waveguides and only classical light. We show that for the case of two bosons in a 1D lattice, one can simulate on-site two-body dissipative dynamics using a linear 2D waveguide array with lossy diagonal waveguides. The intensity distribution of the propagating light directly maps out the wave function, allowing one to observe the dissipation-induced correlations with simple measurements. Beyond the on-site model, we also show that a generalised model containing nearest-neighbour dissipative interaction can be engineered and probed in the proposed set-up.