[
    {
        "id": "osp-18962",
        "type": "article-journal",
        "title": "Chiral Parafermions in Floquet $\\mathbb{Z}_N$ Topological Order",
        "author": [
            {
                "family": "Will",
                "given": "Melissa"
            },
            {
                "family": "Schmid",
                "given": "Harald"
            },
            {
                "family": "Egger",
                "given": "Jan"
            },
            {
                "family": "Gammon-Smith",
                "given": "Adam"
            },
            {
                "family": "Knap",
                "given": "Michael"
            },
            {
                "family": "Pollmann",
                "given": "Frank"
            }
        ],
        "URL": "https://omanscience.com/en/articles/chiral-parafermions-in-floquet-mathbb-z-n-topological-order",
        "language": "en",
        "issued": {
            "date-parts": [
                [
                    2026
                ]
            ]
        },
        "abstract": "Floquet topological order (FTO) extends topology beyond equilibrium, giving rise to phenomena, such as the dynamical transmutation of anyons. Here, we realize $\\mathbb{Z}_N$ FTO in a generalized Kitaev honeycomb model with clock degrees of freedom using a three-step periodic drive. The driven system admits an emergent description in terms of constrained parafermions coupled to conserved $\\mathbb{Z}_N$ gauge fields. At the boundary, the drive generates chiral parafermionic Floquet edge modes. We resolve their propagation through correlation functions, characterize their fractional quantum-information transport through the radical chiral unitary index, and use their dynamics to probe exchange statistics. In the bulk, we explore the dynamical anyon transmutation with a non-equilibrium loop order parameter. At a Floquet sweet spot, where the drive becomes Clifford, these phenomena can be accessed using stabilizer simulations. Short-time matrix-product-state simulations away from this point show that the chiral edge response persists at accessible times. Our results establish $\\mathbb{Z}_N$ Kitaev models as a setting for exploring intrinsically non-equilibrium topological phenomena on qudit-based quantum processors."
    }
]