Classical analogues to quantum nonlinear coherent states in photonic lattices

We show that light evolution occurring in waveguide arrays with a particular n-functional square root dependence of coupling coefficients can be used to produce classical analogues of nonlinear quantum coherent states. Using operator algebras we obtain closed-form expressions describing the optical field dynamics in such structures. In addition, by numerically monitoring the Mandel's parameter, we obtain the conditions necessary to generate sub-Poissonian and super-Poissonian classical intensity distributions in the proposed photonic lattices. ►In this work we have shown that optical array lattices with specific coupling rules can support classical analogues of quantum nonlinear coherent states. ►The problem was solved analytically using operator algebra. ►We demonstrated that both classical sub-Poissonian and super-Poissonian intensity distributions can be generated over distance depending on the nonlinear deformation parameter used. ►Pertinent examples have been provided.