Free Fock parafermions in the tight-binding model with dissipation

TL;DR

This paper proposes a simple method to realize free Fock parafermions in a tight-binding model by introducing controlled dissipation, transforming a complex quantum system into an exactly solvable classical model.

Contribution

It demonstrates a novel approach to achieve free parafermions in a physically feasible way using dissipation in a tight-binding framework.

Findings

Dissipation converts a non-integrable quantum model into an exactly solvable classical one.

The approach enables realization of free parafermions without unphysical conditions.

The model is simple and controllable, facilitating experimental exploration.

Abstract

Parafermions that generalize (Majorana or usual) fermions appear as interacting quasi-particles because of their nature. Although attempts to develop models with free (non-interacting) parafermions have been undertaken, existing proposals require unphysical conditions such as realizing purely non-Hermitian systems. Here we present a way for the realization of free Fock parafermions in the tight-binding model with controlled dissipation of a very simple form. Introducing dissipation transforms an originally non-integrable quantum model to an exactly solvable classical one.