Preparing correlated quantum states is essential for emerging technologies, but remains challenging in many-body systems. Here we propose a dissipative protocol that engineers nonreciprocal, energy-selective transitions to steer dipolar quantum systems toward desired many-body states. This is realized by introducing two types of controllable dissipative auxiliary atoms that act as nonreciprocal excitation and de-excitation channels, respectively, enabling a directional walk in Hilbert space. This approach enables stabilization of states across the many-body spectrum, not limited to the ground state and requiring no \textit{a priori} knowledge of the Hamiltonian. Our approach is designed for neutral atoms in dipolar Rydberg arrays, but applies broadly to setups with similar capabilities, providing a flexible and scalable framework for state preparation in programmable platforms.
@article{arxiv.2604.18542,
title = {Dissipative Preparation of Correlated Quantum States in Dipolar Rydberg Arrays},
author = {Mingsheng Tian and Zhen Bi and Thomas Iadecola and Bryce Gadway},
journal= {arXiv preprint arXiv:2604.18542},
year = {2026}
}