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Accepted · first revision · record

Title: Do condensates of polar molecules form supersolids?
Plain: Molecules with electric dipoles interact far more strongly than magnetic atoms and were recently condensed. Whether they can form a supersolid, and in which range of control fields, is open.
Precise: Bose-Einstein condensate of microwave-shielded NaCs (or similar) with effective $a_{\mathrm{dd}} >> a_{\mathrm{s}}$. Determine whether a phase-coherent droplet array (supersolid) exists between the uniform BEC and isolated droplets, as a function of microwave Rabi frequency and ellipticity. Answer: yes or no, with phase coherence measured across droplets.
Settled by: Matter-wave interference showing a stable relative phase between droplets of a molecular condensate.
Kind: well-posed
Answer type: yes-no
References: (empty)
Literature status: open
Status note: Molecular BEC was reached in 2024 (Bigagli et al., Nature; arXiv:2312.10965) and self-bound molecular droplets were reported in 2025 (arXiv:2507.15208); no molecular supersolid has been reported.
Posed since: (empty)