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Q: Fachverband Quantenoptik und Photonik

Q 69: Collective Effects and Disordered Systems

Q 69.2: Vortrag

Freitag, 6. März 2026, 11:15–11:30, P 2

Transport properties of fermionic excitations in a disordered toric code — •Luis Steinfadt and Francesco Petiziol — Technische Universität Berlin, Institut für Physik und Astronomie, Hardenbergstraße 36, Berlin 10623, Germany

A defining property of topologically ordered phases of matter is their long range entanglement, which enables the encoding of quantum information in non-local degrees of freedom. The resulting robustness against local perturbations establishes two-dimensional topological ordered systems as a promising physical hardware for quantum information processing.

However, any infinitesimal perturbation will delocalize thermally created excitations, a mechanism known to hinder the stability of quantum memories based on 2D topological order at any non-zero temperature. Thus, understanding the dynamics and transport properties of topological excitations in disordered topologically ordered systems poses a compelling question. On the one hand, it is crucial in quantifying the survival of the information encoded in the topologically degenerate ground states when subjected to (in-)coherent perturbations. On the other hand, it offers an opportunity to study the influence of exotic quantum statistics on (many-body) localization.

Motivated by this, we investigate the behavior of fermionic excitations in a disordered and perturbed toric code model and characterize their localization regimes. Based on these results, we further aim at exploring opportunities for controlling anyon motion in quantum simulations of topological order.

Keywords: topological order; toric code; quantum memory; localization; disorder