# Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect

## TL;DR

This paper introduces a new method to generate Lieb and super-honeycomb optical lattices using the fractional Talbot effect, enabling in situ control and high-quality lattice formation for advanced optical studies.

## Contribution

The study presents a novel approach employing the fractional Talbot effect to produce and manipulate complex optical lattices with adjustable symmetry and structure.

## Key findings

- Successful generation of Lieb and super-honeycomb lattices at fractional Talbot lengths
- High beam quality and effective lattice formation demonstrated
- In situ control of lattice symmetry via phase adjustments

## Abstract

We demonstrate a novel method for producing optically-induced Lieb and super-honeycomb lattices, by employing the fractional Talbot effect of specific periodic beam structures. Our numerical and analytical results display the generation of Lieb and super-honeycomb lattices at fractional Talbot lengths effectively and with high beam quality. By adjusting the initial phase shifts of the interfering beams, the incident periodic beam structures, as well as the lattices with broken inversion symmetry, can be constructed in situ. This research suggests not only a possible practical utilization of the Talbot effect in the production of novel optically-induced lattices but also in the studies of related optical topological phenomena.