Non-equilibrium critical scaling and universality in a quantum simulator

Universality and scaling laws are hallmarks of equilibrium phase transitions and critical phenomena. However, extending these concepts to non-equilibrium systems is an outstanding challenge. Despite recent progress in the study of dynamical phases, the universality classes and scaling laws for non-equilibrium phenomena are far less understood than those in equilibrium. In this work, using a trapped-ion quantum simulator with single-spin resolution, we investigate the non-equilibrium nature of critical fluctuations following a quantum quench to the critical point. We probe the scaling of spin fluctuations after a series of quenches to the critical Hamiltonian of a long-range Ising model. With systems of up to 50 spins, we show that the amplitude and timescale of the post-quench fluctuations scale with system size with distinct universal critical exponents, depending on the quench protocol. While a generic quench can lead to thermal critical behavior, we find that a second quench from one critical state to another (i.e. a double quench) results in a new universal non-equilibrium behavior, identified by a set of critical exponents distinct from their equilibrium counterparts. Our results demonstrate the ability of quantum simulators to explore universal scaling beyond equilibrium.

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Publication Details

Journal
Nature Communications
Published
2025-08-26
DOI
https://doi.org/10.1038/s41467-025-63398-y
Citations
1
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
1.25

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Non-equilibrium critical scaling and universality in a quantum simulator

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Non-equilibrium critical scaling and universality in a quantum simulator

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article en
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Abstract

Universality and scaling laws are hallmarks of equilibrium phase transitions and critical phenomena. However, extending these concepts to non-equilibrium systems is an outstanding challenge. Despite recent progress in the study of dynamical phases, the universality classes and scaling laws for non-equilibrium phenomena are far less understood than those in equilibrium. In this work, using a trapped-ion quantum simulator with single-spin resolution, we investigate the non-equilibrium nature of critical fluctuations following a quantum quench to the critical point. We probe the scaling of spin fluctuations after a series of quenches to the critical Hamiltonian of a long-range Ising model. With systems of up to 50 spins, we show that the amplitude and timescale of the post-quench fluctuations scale with system size with distinct universal critical exponents, depending on the quench protocol. While a generic quench can lead to thermal critical behavior, we find that a second quench from one critical state to another (i.e. a double quench) results in a new universal non-equilibrium behavior, identified by a set of critical exponents distinct from their equilibrium counterparts. Our results demonstrate the ability of quantum simulators to explore universal scaling beyond equilibrium.

Nature CommunicationsVol. 16(1)
Duke University (US), Johns Hopkins University Applied Physics Laboratory (US), Joint Center for Quantum Information and Computer Science (US), QuEra Computing (United States) (US), Joint Quantum Institute (US), Facility for Rare Isotope Beams, University of Maryland, College Park (US), Rice University (US), Michigan State University (US)
National Science Foundation, U.S. Department of Defense, U.S. Department of Energy, Office of Science, National Defense Science and Engineering Graduate, Multidisciplinary University Research Initiative, Division of Materials Research, Advanced Scientific Computing Research, Nuclear Physics, Air Force Office of Scientific Research
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Openalex Percentile: Top 18%
Quantum many-body systems
1.25
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