Quantum simulation of Dirac fermion mode, Majorana fermion mode and Majorana-Weyl fermion mode in cavity QED lattice

TL;DR

This paper demonstrates the quantum simulation of Dirac, Majorana, and Majorana-Weyl fermion modes, and their crossover, using a cavity QED lattice system, providing analytical relations between field operators for these modes.

Contribution

It introduces a method to simulate relativistic fermion modes in cavity QED lattices and explores their interrelations, advancing quantum simulation of high-energy physics phenomena.

Findings

Successful simulation of Dirac, Majorana, and Majorana-Weyl fermion modes

Analytical relations between field operators for different modes

Observation of crossover phenomena between fermion modes

Abstract

Quantum simulation aims to simulate a quantum system using a controble laboratory system that underline the same mathematical model. Cavity QED lattice system is that prescribe system to simulate the relativistic quantum effect. We quantum simulate the Dirac fermion mode, Majorana fermion mode and Majorana-Weyl fermion mode and a crossover between them in cavity QED lattice. We also present the different analytical relations between the field operators for different mode excitations.