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The coupling of an isolated quantum state to a continuum is typicallyassociated with decoherence and decreased lifetime. Here, we demonstrate thatRydberg macrodimers, weakly bound pairs of Rydberg atoms, can overcome thisdissipative mechanism and instead form bound states with the continuum of freemotional states. This is enabled by the unique combination of extraordinarilyslow vibrational motion in the molecular state and the optical coupling to anon-interacting continuum. Under conditions of strong coupling, we observe theemergence of distinct resonances and explain them within a Fano model. Foratoms arranged on a lattice, we predict the strong continuum coupling to evenstabilize molecules consisting of more than two atoms and find first signaturesof these by observing atom loss correlations using a quantum gas microscope.Our results present an intriguing mechanism to control decoherence and bindmultiatomic molecules using strong light-matter interactions.

Rydberg molecules bound by strong light fields