Scientific article
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Thermalization and criticality on an analogue–digital quantum simulator

ContributorsCollaboration
Published inNature, vol. 638, no. 8049, p. 79-85
Publication date2025-02-06
First online date2025-02-05
Abstract

Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators1,2 . Unlocking the full potential of such systems towards this goal requires flexible initial state preparation, precise time evolution and extensive probes for final state characterization. Here we present a quantum simulator comprising 69 superconducting qubits that supports both universal quantum gates and high-fidelity analogue evolution, with performance beyond the reach of classical simulation in cross-entropy benchmarking experiments. This hybrid platform features more versatile measurement capabilities compared with analogue-only simulators, which we leverage here to reveal a coarsening-induced breakdown of Kibble-Zurek scaling predictions3 in the XY model, as well as signatures of the classical Kosterlitz-Thouless phase transition4 . Moreover, the digital gates enable precise energy control, allowing us to study the effects of the eigenstate thermalization hypothesis5-7 in targeted parts of the eigenspectrum. We also demonstrate digital preparation of pairwise-entangled dimer states, and image the transport of energy and vorticity during subsequent thermalization in analogue evolution. These results establish the efficacy of superconducting analogue-digital quantum processors for preparing states across many-body spectra and unveiling their thermalization dynamics.

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Citation (ISO format)
Collaboration. Thermalization and criticality on an analogue–digital quantum simulator. In: Nature, 2025, vol. 638, n° 8049, p. 79–85. doi: 10.1038/s41586-024-08460-3
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Additional URL for this publicationhttps://www.nature.com/articles/s41586-024-08460-3
Journal ISSN0028-0836
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