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April 15, 2026Journal of High Energy PhysicsOpen Access

Complexity of quadratic quantum chaos

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Authors

PBPallab BasuSDSuman DasPNPratik Nandy

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Overview

This research investigates chaotic dynamics in two-body Hamiltonians, revealing implications for quantum information scrambling.

Key Points

  • The study aims to explore two-body Hamiltonians that exhibit chaotic dynamics resembling those of Gaussian random matrices.
  • Investigated minimal two-body Hamiltonians with random interactions.
  • Analyzed spectral statistics and measures of operator growth like Krylov complexity.
  • Studied late-time decay of higher-order out-of-time-ordered correlators (OTOCs).
  • Evaluated fractal dimension and Stabilizer Rényi entropy for mid-spectrum eigenstates.
  • Identified chaotic dynamics in hard-core boson models distinct from integrable fermionic systems.
  • Demonstrated that higher-order OTOCs indicate the emergence of freeness in free probability.
  • Observed finite-size deviations in fractal dimension and Rényi entropy, converging to Haar-randomness as system size increases.

Cite This Study

Basu et al. (2026) studied this question.

synapsesocial.com/papers/69df2ae6e4eeef8a2a6afe86https://doi.org/10.1007/jhep04(2026)081
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