Entanglement-Ergodic Quantum Systems Equilibrate Exponentially Well.

摘要: One of the outstanding problems in nonequilibrium physics is to precisely understand when and how physically relevant observables many-body systems equilibrate under unitary time evolution. General equilibration results show that generic provided initial state has overlap with sufficiently many energy levels. But not referring typicality which natural states actually fulfill this condition are lacking. In work, we present stringent for Renyi entanglement entropies eigenstates finite density extensive at least some, necessarily connected, subsystems. Our reverse logic common arguments, derive from a weak akin eigenstate thermalization hypothesis, usually attributed assumed first place. We put findings into context studies localization scars.