Nonclassical properties and Anderson localization of quantum states in coupled waveguides

We consider the propagation of light beams through disordered lattices of coupled waveguides searching for Anderson localization and investigating the evolution of nonclassical properties of injected quantum states. We assume that the beam is initially in a variety of states, such as the complementary coherent state, the reciprocal binomial state, and the polynomial state. The statistical properties of the evolved states were analyzed numerically as functions of the localization and delocalization parameters averaged over many realizations of disorder. We also numerically reconstruct the Wigner function of the output state. Interestingly, we find that high values of disorder tend to preserve the quantum properties of some input states when we look at the input waveguide despite of the coupling between it and the neighboring waveguides.

Automated summary

In this study, we investigate the propagation of light beams through disordered lattices of coupled waveguides to explore Anderson localization and the evolution of nonclassical properties of injected quantum states. Numerical analysis shows that high levels of disorder tend to preserve the quantum properties of certain input states.