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October 19, 2025Journal of High Energy PhysicsOpen Access

Quantum signatures of chaos from free probability

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Authors

HCHugo A. CamargoConsejo Nacional de Investigaciones Científicas y TécnicasYFY. W. FuGwangju Institute of Science and TechnologyVJViktor JahnkeGwangju Institute of Science and Technology

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Implication

This analysis reveals quantum chaos in many-body systems using free probability, indicating a novel perspective.

Key Points

  • Quantum chaos emerges through free probability, highlighting significant patterns in many-body systems.
  • Asymptotic freeness replaces classical independence, leading to universal Wigner-Dyson statistics in quantum models.
  • The research systematically explores spectral properties in models like the mixed-field Ising model and SYK model.
  • Free probability theory offers a rigorous framework and unifies various manifestations of quantum chaos.

Cite This Study

Camargo et al. (2025) studied this question.

synapsesocial.com/papers/68f4b10d3d9d770bbc6970f4https://doi.org/10.1007/jhep10(2025)138
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