Modeling displaced squeezed number states in waveguide arrays

We present an exact analytical solution for a one-dimensional zigzag waveguide array with first and second neighbor interactions. It is found that this waveguide system acts as a classical analog to the displaced squeezed number states. The exact solution was compared directly with the numerical solution showing a perfect agreement. The implication of a linear index of refraction changing as a function of the site number is also studied; in this case, we show that the first neighbor interaction strongly influences the periodicity of Bloch oscillations.(c) 2022 Elsevier B.V. All rights reserved.

Automated summary

An exact analytical solution for a one-dimensional zigzag waveguide array with first and second neighbor interactions is presented, which serves as a classical analog to displaced squeezed number states. The direct comparison with numerical solution shows perfect agreement. The study also examines the implication of a linear index of refraction changing with site number and finds that first neighbor interaction strongly influences the periodicity of Bloch oscillations.