Observing conformal Floquet dynamics on a digital quantum processor
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917550164541440 |
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| author | Mo, Liang-Hong Lapierre, Bastien Miao, Qiang |
| author_facet | Mo, Liang-Hong Lapierre, Bastien Miao, Qiang |
| contents | Quantum simulations are traditionally confined to exploring dynamics starting from unentangled or low-entanglement states due to severe bottlenecks in protocol design, hardware performance, and classical verification. Here, we report the first experimental observation of non-equilibrium dynamics initiated directly from a many-body critical state. Using a fully-connected trapped-ion processor, we prepare the critical ground state of a transverse-field Ising model via a hardware-tailored, logarithmic-depth quantum circuit based on multi-scale entanglement renormalization. Following this initialization, we apply a deep Floquet drive that maintains emergent conformal symmetry, enabling us to benchmark the lattice dynamics against analytical results from continuum theory. In the resulting conformal heating phase, we extract a central charge consistent with the Ising universality class ($c=1/2$) from the universal decay of the Loschmidt echo and observe spatial energy localization predicted by field theory. Conversely, the non-heating phase exhibits global finite-time revivals. This work establishes a scalable and versatile framework for exploring critical quantum dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27530 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Observing conformal Floquet dynamics on a digital quantum processor Mo, Liang-Hong Lapierre, Bastien Miao, Qiang Quantum Physics Statistical Mechanics Strongly Correlated Electrons Quantum simulations are traditionally confined to exploring dynamics starting from unentangled or low-entanglement states due to severe bottlenecks in protocol design, hardware performance, and classical verification. Here, we report the first experimental observation of non-equilibrium dynamics initiated directly from a many-body critical state. Using a fully-connected trapped-ion processor, we prepare the critical ground state of a transverse-field Ising model via a hardware-tailored, logarithmic-depth quantum circuit based on multi-scale entanglement renormalization. Following this initialization, we apply a deep Floquet drive that maintains emergent conformal symmetry, enabling us to benchmark the lattice dynamics against analytical results from continuum theory. In the resulting conformal heating phase, we extract a central charge consistent with the Ising universality class ($c=1/2$) from the universal decay of the Loschmidt echo and observe spatial energy localization predicted by field theory. Conversely, the non-heating phase exhibits global finite-time revivals. This work establishes a scalable and versatile framework for exploring critical quantum dynamics. |
| title | Observing conformal Floquet dynamics on a digital quantum processor |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2605.27530 |