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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Statistical mechanics

Background:

  • Free fermion systems exhibit long-range quantum entanglement, enabling subsystem thermalization.
  • The eigenstate thermalization hypothesis (ETH) is typically applied to interacting systems, but its applicability to non-interacting fermions is explored.

Purpose of the Study:

  • Investigate ETH in free fermion systems minimally coupled to a quantum reservoir.
  • Examine entanglement entropy in systems connected by quantum point contacts (QPCs).

Main Methods:

  • Analytical and numerical examination of entanglement entropy.
  • Focus on systems connected by one or more QPCs at finite energy and in the ground state.

Main Results:

  • Entanglement entropy is subextensive, scaling linearly with subsystem size (L_A) for typical excited states.
  • At low energies and small subsystems, entanglement entropy scales as S_A ~ L_A * E.
  • Quantized entropy increase per QPC is suggested: ΔS_A = αlog(1/E)sinh(L_A * E).

Conclusions:

  • Subextensive entanglement entropy in minimally coupled free fermion systems contrasts with classical and quantum chaotic systems.
  • The findings suggest a quantized nature of entropy transfer through QPCs in specific regimes.