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Entanglement in trapped Rydberg ions via engineered conical intersections and addressing of individual-ions
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DOI：10.1016/j.aop.2026.170617.png)
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Abstract
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Conical intersections (CIs) are fundamental features of molecular potential energy landscapes and, more generally, of coupled quantum systems with interacting degrees of freedom. While CIs are central to photochemical processes in molecules, their direct observation and control in natural systems remain challenging. Here we propose and analyze a scheme to engineer a CI using Rydberg ions confined in a Paul trap. In contrast to previous approaches requiring simultaneous control of both ions, we show that a static electric field applied to a single ion is sufficient to generate a tunable CI. We derive the full Hamiltonian, determine the equilibrium configuration, and analyze the adiabatic potential energy surfaces (PESs). Wave packet simulations demonstrate the emergence of geometric phase effects that confine the nuclear motion to the lower adiabatic surface while maintaining electronic coherence. Moreover, we show that the engineered CI can generate a large amount of entanglement between the ions, approaching a maximally entangled Bell state. Our results establish trapped Rydberg ions as a versatile platform for simulating non-adiabatic dynamics in a highly controllable setting.
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