# Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results

## TL;DR

This paper reviews analytic methods for designing photonic lattices with fractional revival and perfect state transfer, emphasizing orthogonal polynomial approaches and presenting new results on fractional revival.

## Contribution

It provides a comprehensive survey of analytic models for photonic lattices with PST and introduces new findings on fractional revival properties, including an example with next-to-nearest neighbor interactions.

## Key findings

- Compilation of analytic models with PST
- New results on fractional revival properties
- An example with next-to-nearest neighbor interactions

## Abstract

The analytic specifications of photonic lattices with fractional revival (FR) and perfect state transfer (PST) are reviewed. The approach to their design which is based on orthogonal polynomials is highlighted. A compendium of analytic models with PST is offered. New results on their FR properties are included. The nearest-neighbour approximation is adopted in most of the review; one analytic example with next-to-nearest neighbour interactions is also presented.