Damanik, DavidLemm, MariusLukic, MilivojeYessen, William2020-10-012020-10-012020-10-012014-09-1810.1103/PhysRevLett.113.127202https://infoscience.epfl.ch/handle/20.500.14299/172085We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson (LR) bound for an isotropic XY chain in a quasiperiodic transversal magnetic field. Instead of the usual effective light cone |x|≤v|t|, we obtain |x|≤v|t|α for some 0<α<1. We can characterize the allowed values of α exactly as those exceeding the upper transport exponent α+u of a one-body Schrödinger operator. To our knowledge, this is the first rigorous derivation of anomalous quantum many-body transport. We also discuss anomalous LR bounds with power-law tails for a random dimer field.text::journal::journal article::research article