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This study reveals that bosonic systems with Gaussian dynamics exhibit information scrambling, mirroring chaotic systems despite being integrable. Randomness in their Hamiltonians leads to unique entanglement and information dynamics.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Dynamics

Background:

  • Information scrambling is a key concept in quantum mechanics, describing how quantum information spreads.
  • Bosonic systems and Gaussian unitary evolution are fundamental in quantum information processing.

Purpose of the Study:

  • To investigate information scrambling dynamics in bosonic systems under Gaussian unitary evolution.
  • To analyze the role of Hamiltonian randomness in entanglement and information dynamics.

Main Methods:

  • Studying entanglement dynamics of disjoint blocks under Gaussian random local dynamics.
  • Analyzing tripartite mutual information saturation under random Hamiltonians.

Main Results:

  • Observed disappearance of the memory effect in entanglement dynamics for initial Gaussian states.
  • Showed tripartite mutual information saturates at large negative values due to Hamiltonian randomness.
  • Identified information-scrambling diagnostics in integrable systems that resemble those in chaotic systems.

Conclusions:

  • Integrable bosonic systems with Gaussian dynamics can exhibit signatures of information scrambling.
  • Hamiltonian randomness plays a crucial role in the observed dynamics.
  • Results offer insights into continuous-variable systems for quantum information processing.