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arXiv:2604.18542 · Physical Review A

Dissipative Preparation of Correlated Quantum States in Dipolar Rydberg Arrays

Mingsheng Tian, Zhen Bi, Thomas Iadecola, Bryce Gadway

quant-phcond-mat.quant-gasphysics.atom-phSubmitted Apr 20, 2026• Announced Apr 21, 2026• 0 citations
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Abstract

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.

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Autonomous stabilization of many-body quantum states requires a mechanism that continuously removes stabilizer violations without relying on measurement and feedback. Here we develop a Floquet-Lindblad framework for scalable stabilizer pumping in neutral Rydberg atom arrays. Periodically modulated Rydberg excitation selectively couples the negative-eigenvalue sector of a prescribed stabilizer to auxiliary Rydberg states, while engineered dissipation irreversibly transfers the population into the corresponding positive-eigenvalue sector and leaves the target stabilizer manifold dark. This establishes a modular pumping primitive that can be composed to autonomously stabilize general many-body stabilizer manifolds, rather than merely prepare a specific entangled state. The combination of Floquet-selective excitation and fast engineered dissipation accelerates convergence, while transient single-Rydberg excitation and suppressed real multi-Rydberg occupation reduce sensitivity to Rydberg-state loss, blackbody-radiation-induced leakage, and spatial fluctuations. We demonstrate the framework through Bell and multiqubit graph states, including parallel stabilizer pumping that reduces the convergence time for the simulated multiqubit systems. The same dissipative attraction also enables purification of imperfect resource states. These results establish Floquet-engineered stabilizer pumping as a scalable route toward autonomous quantum-state stabilization and protected entanglement generation in neutral-atom platforms.
We propose a dissipative protocol for preparing nonequilibrium steady-state entanglement in neutral atom arrays within a Floquet-Lindblad framework. Stabilizer pumping is implemented through noninstantaneous kicks, where each period consists of a short resonant laser pulse followed by a detuned strong πππ pulse that couples the atomic ground state to a Rydberg state. This scheme is intrinsically fast and robust against the Doppler shifts and interatomic spatial fluctuations, as adiabatic requirements on the laser field are avoided. As such the engineered dissipation channels induce a fast decay rate, dramatically accelerating convergence toward the desired steady states. We show that this approach is inherently scalable and enables high-fidelity preparation of arbitrary multipartite graph states in the neutral atom array at zero and finite temperatures. Our study not only facilitates the preparation of resource states for measurement-based quantum computation but also provides a passive error-correction mechanism in the undergoing computation.
Entangled many-body states are a key resource for quantum technologies. Yet their preparation through analog control of interacting quantum systems is often hindered by experimental imperfections. Here, we introduce the adiabatic echo protocol, a general approach to state preparation designed to suppress the effect of static perturbations. We provide an analytical understanding of its robustness in terms of dynamically engineered destructive interference. By applying quantum optimal control methods, we demonstrate that such a protocol emerges naturally in a variety of settings, without requiring assumptions on the form of the control fields. Examples include Greenberger-Horne-Zeilinger state preparation in Ising spin chains and two-dimensional Rydberg atom arrays, as well as the generation of quantum spin liquid states in frustrated Rydberg lattices. Our results highlight the broad applicability of this protocol, providing a practical framework for reliable many-body state preparation in present-day quantum platforms.
Electronic excited states are central to a vast array of physical and chemical phenomena, yet accurate and efficient methods for preparing them on quantum devices remain challenging and comparatively underexplored. We introduce a general dissipative algorithm for selectively preparing ab initio electronic excited states. The key idea is to recast excited-state preparation as an effective ground-state problem by suitably modifying the underlying Lindblad dynamics so that the target excited state becomes the unique steady state of a designed quantum channel. We develop three complementary strategies, tailored to different types of prior information about the excited state, such as symmetry and approximate energy. We demonstrate the effectiveness and versatility of these schemes through numerical simulations of atomic and molecular spectra, including valence excitations in prototypical planar conjugated molecules and transition-metal complexes. Taken together, these results provide a new pathway for advancing quantum simulation methods for realistic strongly correlated electronic systems.