Meson spectroscopy of exotic symmetries of Ising criticality in Rydberg atom arrays

• URL: http://arxiv.org/abs/2506.21299v1
• Date: Thu, 26 Jun 2025 14:19:30 GMT
• Title: Meson spectroscopy of exotic symmetries of Ising criticality in Rydberg atom arrays
• Authors: Joseph Vovrosh, Julius de Hond, Sergi Julià-Farré, Johannes Knolle, Alexandre Dauphin,
• Abstract summary: Coupling two Ising chains in a ladder leads to an even richer $mathcalD(1)_8$ symmetries.<n>Here, we probe these emergent symmetries in a Rydberg atom processing unit, leveraging its geometry to realize both chain and ladder configurations.
• Score: 39.58317527488534
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 $E_8$. Coupling two Ising chains in a ladder leads to an even richer $\mathcal{D}^{(1)}_8$ symmetry. Experimental signatures of the associated particle excitations have arguably been observed in scattering studies of the spin chain material CoNb$_2$O$_6$. 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 $E_8$ and $\mathcal{D}^{(1)}_8$ 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.

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