Damanik, DavidLemm, MariusLukic, MilivojeYessen, William2016-01-282016-01-282014Damanik, David, Lemm, Marius, Lukic, Milivoje, et al.. "New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains." <i>Physical Review Letters,</i> 113, no. 12 (2014) American Physical Society: 127202. http://dx.doi.org/10.1103/PhysRevLett.113.127202.https://hdl.handle.net/1911/88218We 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.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlehttp://dx.doi.org/10.1103/PhysRevLett.113.127202