Author(s): Takashi Hara and Tatsuhiko Koike For a class of translation-invariant free-fermion systems including those with uniform nearest-neighbor hopping) on a $d$-dimensional $L×⋯×L$ hypercubic lattice, we prove that, starting from an arbitrary pure initial state, the system equilibrates with respect to the coarse-grained density within a … [Phys. Rev. Lett. 137, 030406] Published Fri Jul 17, 2026