2020/08/31 by Masudul Haque, Paul A. McClarty, Ivan M. Khaymovich
Physics and Astronomy · #Chaotic #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Entropy (arrow of time) #Ergodic theory #Orthogonality #Quantum chaos and dynamical systems #Quantum entanglement #Quantum many-body systems #Randomness #Scaling #Stationary ergodic process #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.105.014109
published as Phys. Rev. E 105, 014109 (2022) · 8 pages, 5 figures, 122 references + 6 pages, 9 figures in 8 Appendices
openalex publication_date 2022/01/07 · arxiv created 2022/01/08 · arxiv updated 2022/01/11 · openalex created_date 2022/01/25 · openalex updated_date 2026/08/05
Eigenstates of local many-body interacting systems that are far from spectral edges are thought to be ergodic and close to being random states. This is consistent with the eigenstate thermalization hypothesis and volume-law scaling of entanglement. We point out that systematic departures from complete randomness are generically present in midspectrum eigenstates, and focus on the departure of the entanglement entropy from the random-state prediction. We show that the departure is (partly) due to spatial correlations and due to orthogonality to the eigenstates at the spectral edge, which imposes structure on the midspectrum eigenstates.