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Random Free Fermions: An Analytical Example of Eigenstate Thermalization.

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Researchers analytically prove random Gaussian-free fermions satisfy the eigenstate thermalization hypothesis (ETH) in the multiparticle sector. This finding offers new insights into quantum thermalization mechanisms and random quantum systems.

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Area of Science:

  • Quantum mechanics
  • Statistical physics

Background:

  • The eigenstate thermalization hypothesis (ETH) is crucial for understanding thermalization in isolated quantum systems.
  • Proving ETH analytically is challenging, often requiring nonlinear interactions.

Purpose of the Study:

  • To demonstrate analytical instances of ETH in a specific quantum system.
  • To explore the role of randomness in quantum thermalization.

Main Methods:

  • Analytical computation of correlations and entanglement entropies.
  • Focus on random Gaussian-free fermion systems.

Main Results:

  • Random Gaussian-free fermions satisfy ETH in the multiparticle sector.
  • Explicit construction of these systems is provided.

Conclusions:

  • Nonlinear interactions may not be essential for thermalization.
  • Distinguishes between fully random Hamiltonians and random Gaussian systems.