Observing conformal Floquet dynamics on a digital quantum processor

• URL: http://arxiv.org/abs/2605.27530v1
• Date: Tue, 26 May 2026 18:05:16 GMT
• Title: Observing conformal Floquet dynamics on a digital quantum processor
• Abstract summary: We report the first experimental observation of non-equilibrium dynamics initiated directly from a many-body critical state.<n>This work establishes a scalable and versatile framework for exploring critical quantum dynamics.
• Score: 1.8215565020713982
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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