Simulating para-Fermi oscillators

TL;DR

This paper demonstrates that finite-dimensional para-Fermi oscillators of even order can be simulated with weak coupling, enabling new quantum state engineering possibilities in quantum electrodynamics platforms.

Contribution

It introduces a feasible method for simulating even order para-Fermi oscillators using weak coupling, expanding the scope of quantum simulations of para-particles.

Findings

Finite-dimensional para-Fermi oscillators are simulatable under weak coupling.

Simulation leads to binomial two-field mode states from para-Fermi vacuum states.

Potential implementation in various quantum electrodynamics platforms.

Abstract

Quantum mechanics allows for a consistent formulation of particles that are neither bosons nor fermions. These para-particles are rather indiscernible in nature. Recently, we showed that strong coupling between a qubit and two field modes is required to simulate even order para-Bose oscillators. Here, we show that finite-dimensional representations of even order para-Fermi oscillators are feasible of quantum simulation under weak coupling. This opens the door to their potential implementation in different contemporaneous quantum electrodynamics platforms. We emphasize the intrinsic value of para-particles for the quantum state engineering of bichromatic field modes. In particular, we demonstrate that binomial two field mode states result from the evolution of para-Fermi vacuum states in the quantum simulation of these oscillators.