Modeling displaced squeezed number states in waveguide arrays

TL;DR

This paper provides an exact analytical model of displaced squeezed number states in a zigzag waveguide array, demonstrating classical analogs, numerical validation, and effects of index variation on Bloch oscillations.

Contribution

It introduces an exact solution for a waveguide array with complex interactions, revealing classical analogs to quantum states and analyzing the impact of index variation.

Findings

Exact analytical solution matches numerical results

Classical analogs to displaced squeezed number states identified

Index variation affects Bloch oscillation periodicity

Abstract

We present an exact analytical solution for a one-dimensional zigzag waveguide array with first and second neighbor interactions. It is found that the waveguide system possess a classical analog to the displaced squeezed number states. The exact solution was compared directly with the numerical solution showing a perfect agreement between both results. 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.