2015/08/31 by Javier M. Magán, Javier M. Magan · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Eigenvalues and eigenvectors #Fermion #Gaussian #Mathematics #Model Reduction and Neural Networks #Nonlinear system #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Randomness #Statistical physics #Statistics #Theoretical physics #Thermalisation #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.116.030401
published as Phys. Rev. Lett. 116, 030401 (2016)
openalex publication_date 2016/01/22 · arxiv created 2016/07/29 · arxiv updated 2016/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Having analytical instances of the eigenstate thermalization hypothesis (ETH) is of obvious interest, both for fundamental and applied reasons. This is generally a hard task, due to the belief that nonlinear interactions are basic ingredients of the thermalization mechanism. In this article we prove that random Gaussian-free fermions satisfy ETH in the multiparticle sector, by analytically computing the correlations and entanglement entropies of the theory. With the explicit construction at hand, we finally comment on the differences between fully random Hamiltonians and random Gaussian systems, providing a physically motivated notion of randomness of the microscopic quantum state.