title: Statistics of Schmidt coefficients and the simulability of complex quantum systems.
abstract: We show that the transition from regular to chaotic spectral statistics in interacting many-body quantum systems has an unambiguous signature in the distribution of Schmidt coefficients dynamically generated from a generic initial state, and thus limits the efficiency of the time-dependent density-matrix renormalization-group algorithm. We investigate this mechanism on the tilted Bose-Hubbard model; however the emergence of universal spectral properties allows translation of our conclusions to generic many-body quantum systems.
authors.affiliation: Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.
authors.forename: Hannah
authors.initials: H
authors.lastname: Venzl
authors.forename: Andrew J
authors.initials: AJ
authors.lastname: Daley
authors.forename: Florian
authors.initials: F
authors.lastname: Mintert
authors.forename: Andreas
authors.initials: A
authors.lastname: Buchleitner