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Q: Fachverband Quantenoptik und Photonik

Q 24: Ultra-cold Atoms, Ions and BEC I (joint session A/Q)

Q 24.3: Vortrag

Dienstag, 3. März 2026, 11:30–11:45, N 1

Quantum doubles in symmetric blockade structures — •Simon Fell — Institute for Theoretical Physics III, University of Stuttgart

Exactly solvable models of topologically ordered phases with non-abelian anyons typically require complicated many-body interactions which do not naturally appear in nature. This motivates the “inverse problem” of quantum many-body physics: given microscopic systems with experimentally realistic two-body interactions, how to design a Hamiltonian that realizes a desired topological phase? We solve this problem on a platform motivated by Rydberg atoms, where elementary two-level systems couple via simple blockade interactions. Within this framework, we construct Hamiltonians that realize topological orders described by non-abelian quantum double models. We analytically prove the existence of topological order in the ground state, and present efficient schemes to prepare these states. We also introduce protocols for the controlled adiabatic braiding of anyonic excitations to probe their non-abelian statistics. Our construction is generic and applies to quantum doubles D(G) for arbitrary finite groups G. We illustrate braiding for the simplest non-abelian quantum double D(S₃).

Keywords: Topological order; Non-abelian anyons; Topological quantum computing; Non-Abelian gauge theories; Quantum spin liquid