Dissipative Preparation of Entangled Many-Body States with Rydberg Atoms

TL;DR

This paper presents a method to generate entangled many-body states in a Rydberg atom lattice using engineered dissipation, achieving high fidelity state preparation and analyzing scalability.

Contribution

It introduces a dissipative protocol for preparing ground and $W$ states in Rydberg atom systems, with detailed numerical analysis and optimal parameter identification.

Findings

High-fidelity entangled state preparation demonstrated

Optimal parameters for state fidelity identified

Scalability of the method analyzed

Abstract

We investigate a one-dimensional atomic lattice laser-driven to a Rydberg state, in which engineered dissipation channels lead to entanglement in the many-body system. In particular, we demonstrate the efficient generation of ground states of a frustration-free Hamiltonian, as well as $W$ states. We discuss the realization of the required coherent and dissipative terms, and we perform extensive numerical simulations characterizing the fidelity of the state preparation procedure. We identify the optimum parameters for high fidelity entanglement preparation and investigate the scaling with the size of the system.