Topological matter with collective encoding and Rydberg blockade

Abstract

We propose to use a permutation symmetric sample of multi-level atoms to simulate the properties of topologically ordered states. The Rydberg blockade interaction is used to prepare states of the sample which are equivalent to resonating valence bond states, Laughlin states, and string-net condensates and to create and study the properties of their quasi-particle-like fundamental excitations.

9 pages, 5 figures

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Quantum computing with collective ensembles of multi-level systems
• Minimum instances of topological matter in an optical plaquette
• Quantum computing with a single molecular ensemble and a Cooper pair box