# Photonic realization of the deformed Dirac equation via the segmented graphene nanoribbons under inhomogeneous strain

## TL;DR

This paper demonstrates how engineered optical waveguide arrays can simulate a deformed Dirac equation and graphene nanoribbons under strain, enabling the study of relativistic quantum phenomena like Zitterbewegung in a controllable optical system.

## Contribution

It introduces a novel optical analogue platform using waveguide arrays to simulate deformed Dirac equations and strained graphene nanoribbons, facilitating experimental exploration of relativistic effects.

## Key findings

- Amplitude of Zitterbewegung oscillations varies with deformation parameter
- Optical system accurately models strained graphene nanoribbons
- Simulation provides insights into relativistic quantum phenomena

## Abstract

Starting from an engineered periodic optical structure formed by waveguide arrays comprised of two interleaved lattices, we simulate a deformed Dirac equation. We show that the system also simulate graphene nano ribbons under strain. This optical analogue allows us to study the phenomenon of Zitterbewegung for the modified Dirac equation. Our results show that the amplitude of Zitterbewegung oscillations changes as the deformation parameter is changed.