Random Free Fermions: An Analytical Example of Eigenstate Thermalization.

摘要: Having analytical instances of the eigenstate thermalization hypothesis (ETH) is obvious interest, both for fundamental and applied reasons. This generally a hard task, due to belief that nonlinear interactions are basic ingredients mechanism. In this article we prove random Gaussian-free fermions satisfy ETH in multiparticle sector, by analytically computing correlations entanglement entropies theory. With explicit construction at hand, finally comment on differences between fully Hamiltonians Gaussian systems, providing physically motivated notion randomness microscopic quantum state.