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The transition into this order may belong to an unusual chiral class or pass through an intermediate floating phase.","posed_since":"","precise":"$1\\mathrm{D}$ Rydberg chain with blockade covering two neighbours; the transition from disorder to $\\mathrm{Z}3$ order. Determine whether it is direct and chiral (correlation exponent $\\nu$ and dynamical exponent $z != 1$), passes through a floating incommensurate phase, or is in the 3-state Potts class at a special point. Answer: phase diagram and exponents along the boundary.","problem_ref":null,"references":"","settled_by":"Large-scale DMRG with finite-size scaling of the full $1/r^{6}$ Hamiltonian, confirmed by Kibble-Zurek measurements across the boundary.","status_note":"Kibble-Zurek data (Keesling et al., Nature 2019) and numerical studies disagree on where the floating phase begins.","title":"Universality class of the $Z3$ ordering transition in Rydberg 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