The Ising model serves as a canonical platform for exploring emergent symmetry in quantum critical systems. The critical point of the 1D Ising chain is described by a conformal Ising field theory, which remains integrable in the presence of a magnetic perturbation leading to massive particles associated with the exceptional Lie algebra E₈. Coupling two Ising chains in a ladder leads to an even richer D^ (1) ₈ symmetry. Experimental signatures of the associated particle excitations have arguably been observed in scattering studies of the spin chain material CoNb₂O₆. Here, we probe these emergent symmetries in a Rydberg atom quantum processing unit, leveraging its tunable geometry to realize both chain and ladder configurations. We identify mass spectra consistent with E₈ and D^ (1) ₈ symmetries at the respective critical points. Our results demonstrate the power of Rydberg platforms for investigating symmetry emergence in quantum many-body systems and provide a direct window into the interplay of confinement, geometry and criticality.
Vovrosh et al. (Thu,) studied this question.
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