2 papers
cond-mat.stat-mech2020
Long-range level correlations in quantum systems with finite Hilbert space dimension
Ángel L. Corps, Armando Relaño
We study the spectral statistics of quantum systems with finite Hilbert spaces. We derive a theorem showing that eigenlevels in such systems cannot be globally uncorrelated, even i…
cond-mat.stat-mech2020
Thouless Energy Challenges Thermalization on the Ergodic Side of the Many-Body Localization Transition
Ángel L. Corps, Rafael A. Molina, Armando Relaño
We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted…