Topological matter with collective encoding and Rydberg blockade

TL;DR

This paper introduces a method using symmetric multi-level atoms and Rydberg blockade to simulate and study topologically ordered states and their excitations, advancing quantum simulation capabilities.

Contribution

It presents a novel approach to simulate topologically ordered states using permutation symmetric atomic samples and Rydberg blockade interactions.

Findings

Successfully simulates resonating valence bond, Laughlin, and string-net states.

Creates and analyzes quasi-particle-like excitations.

Demonstrates potential for studying topological quantum phenomena.

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.