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Title: Nature of the striated and star transitions in square Rydberg arrays
Plain: On a square grid, Rydberg atoms form several ordered patterns. The transitions into some of them may be smooth or abrupt, and this is not settled.
Precise: Square-lattice Rydberg arrays with $R_b/a = 1.2 \text{ to } 1.8$. For transitions from the disordered phase into the striated and star phases, determine whether they are continuous or first order and, if continuous, the universality class (exponents $\nu, \eta$). Answer: classification with exponents.
Settled by: Quantum Monte Carlo or 2D tensor-network finite-size scaling, with Kibble-Zurek scaling on arrays of at least 256 atoms.
Kind: well-posed
Answer type: classification
References: (empty)
Literature status: open
Status note: (empty)
Posed since: (empty)