Efficient generation of multiqubit entanglement states using rapid adiabatic passage

We propose the implementation of a rapid adiabatic passage (RAP) scheme to generate entanglement in Rydberg atom-array systems. This method transforms a product state in a multiqubit system into an entangled state with high fidelity and robustness. By employing global and continuous driving laser fields, we demonstrate the generation of a two-qubit Bell state and a three-qubit $W$ state, via sequential RAP pulses within the Rydberg blockade regime. As an illustrative example, applying this technique to alkali-metal atoms, we predict fidelities exceeding 0.9995 for the two-qubit Bell and three-qubit $W$ state, along with excellent robustness. Furthermore, our scheme can be extended to generate entanglement between weakly coupled atoms and to create four-qubit Greenberger-Horne-Zeilinger states through spatial correlations. Our approach holds the potential for extension to larger atomic arrays, offering a straightforward and efficient method to generate high-fidelity entangled states in neutral atom systems.