Photonic realization of the relativistic Dirac oscillator

TL;DR

This paper demonstrates a photonic implementation of the relativistic Dirac oscillator using fiber Bragg gratings, revealing bound states and spectral asymmetries through transmission spectra analysis.

Contribution

It introduces a novel photonic platform to realize the Dirac oscillator, bridging quantum relativistic models with optical systems.

Findings

Observation of electron and positron bound states in the spectra

Clear evidence of energy spectrum asymmetry

Resonance modes identified above and below the Bragg frequency

Abstract

A photonic realization of the Dirac oscillator (DO), i.e. of the relativistic extension of the quantum harmonic oscillator, is proposed for light propagation in fiber Bragg gratings. Transmission spectra clearly show the existence of electron and positron bound states of the DO, corresponding to resonance modes above and below the Bragg frequency, as well as the asymmetry of the energy spectrum for electron and positron branches.