Floquet Majorana Fermions for Topological Qubits

TL;DR

This paper proposes a method to realize Floquet Majorana Fermions through periodic driving, enabling topological qubits with non-Abelian statistics and robust quantum information encoding.

Contribution

It introduces a novel approach to induce topological phases and non-Abelian statistics using Floquet Majorana Fermions under periodic driving.

Findings

Stable FMF zero modes exist with large quasi-energy gaps.

FMFs preserve non-Abelian statistics in the asymptotic limit.

Wide parameter space supports FMF existence without breaking fermion parity.

Abstract

We introduce and develop an approach to realizing a topological phase transition and non-Abelian statistics with dynamically induced Floquet Majorana Fermions (FMFs). When the periodic driving potential does not break fermion parity conservation, FMFs can encode quantum information. Quasi-energy analysis shows that a stable FMF zero mode and two other satellite modes exist in a wide parameter space with large quasi-energy gaps, which prevents transitions to other Floquet states under adiabatic driving. We also show that in the asymptotic limit FMFs preserve non-Abelian statistics and, thus, behave like their equilibrium counterparts.