Quantum doubles in symmetric blockade structures
Year: 2026
Type: article
Abstract: Exactly solvable models of topologically ordered phases with non-Abelian anyons typically require complicated many-body interactions that do not arise naturally. This motivates the “inverse problem” of quantum many-body physics: How to design a microscopic Hamiltonian that realizes a desired topological phase with a given, restricted type of two-body interactions? Here, we address this problem for systems where elementary two-level degrees of freedom couple via simple blockade interactions, a platform motivated by Rydberg atoms. 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 states and present efficient schemes to prepare these states. We also introduce protocols for the controlled adiabatic braiding of anyonic excitations that 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 ( S 3 ) .
DOI: 10.1103/99sy-kggw
Authors: Hans Peter Büchler, Tobias F. Maier, Simon Fell, Nicolai Lang
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4416025978