Deconfined quantum criticality on a triangular Rydberg array
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arXiv
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| Format: | Preprint |
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2025
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| author | Bombieri, Lisa Zache, Torsten V. Calliari, Gabriele Lukin, Mikhail D. Pichler, Hannes González-Cuadra, Daniel |
| author_facet | Bombieri, Lisa Zache, Torsten V. Calliari, Gabriele Lukin, Mikhail D. Pichler, Hannes González-Cuadra, Daniel |
| contents | Fluctuations can drive continuous phase transitions between two distinct ordered phases -- so-called deconfined quantum critical points (DQCPs) -- which lie beyond the Landau-Ginzburg-Wilson paradigm. Despite several theoretical predictions over the past decades, experimental evidence of DQCPs remains elusive. We show that a DQCP can be explored in a system of Rydberg atoms arranged on a triangular lattice and coupled through van der Waals interactions. Specifically, we investigate the nature of the phase transition between two ordered phases at 1/3 and 2/3 Rydberg excitation density, which were recently probed experimentally in [P. Scholl et al., Nature 595, 233 (2021)]. Using a field-theoretical analysis, we predict both the critical exponents for infinitely long cylinders of increasing circumference and the emergence of a conformal field theory near criticality showing an enlarged U(1) symmetry -- a signature of DQCPs -- and confirm these predictions numerically. Finally, we extend these results to ladder geometries and show how the emergent U(1) symmetry could be probed experimentally using finite tweezer arrays. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_08366 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deconfined quantum criticality on a triangular Rydberg array Bombieri, Lisa Zache, Torsten V. Calliari, Gabriele Lukin, Mikhail D. Pichler, Hannes González-Cuadra, Daniel Quantum Physics Quantum Gases Strongly Correlated Electrons Fluctuations can drive continuous phase transitions between two distinct ordered phases -- so-called deconfined quantum critical points (DQCPs) -- which lie beyond the Landau-Ginzburg-Wilson paradigm. Despite several theoretical predictions over the past decades, experimental evidence of DQCPs remains elusive. We show that a DQCP can be explored in a system of Rydberg atoms arranged on a triangular lattice and coupled through van der Waals interactions. Specifically, we investigate the nature of the phase transition between two ordered phases at 1/3 and 2/3 Rydberg excitation density, which were recently probed experimentally in [P. Scholl et al., Nature 595, 233 (2021)]. Using a field-theoretical analysis, we predict both the critical exponents for infinitely long cylinders of increasing circumference and the emergence of a conformal field theory near criticality showing an enlarged U(1) symmetry -- a signature of DQCPs -- and confirm these predictions numerically. Finally, we extend these results to ladder geometries and show how the emergent U(1) symmetry could be probed experimentally using finite tweezer arrays. |
| title | Deconfined quantum criticality on a triangular Rydberg array |
| topic | Quantum Physics Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2508.08366 |