For two free-fermion lattices connected by a few quantum point contacts, the entanglement entropy of typical excited eigenstates grows only linearly with subsystem size, not extensively.
Quantum energy flow in mesoscopic dielectric structures
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abstract
We investigate the phononic energy transport properties of mesoscopic, suspended dielectric wires. The Landauer formula for the thermal conductance is derived and its universal aspects discussed. We then determine the variance of the energy current in the presence of a steady state current flow. In the final part, some initial results are presented concerning the nature of the temperature fluctuations of a mesoscopic electron gas thermometer due to the absorption and emission of wire phonons.
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The Eigenstate Thermalization Hypothesis in a Quantum Point Contact Geometry
For two free-fermion lattices connected by a few quantum point contacts, the entanglement entropy of typical excited eigenstates grows only linearly with subsystem size, not extensively.