New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains

Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract

We 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.

Description
Advisor
Degree
Type
Journal article
Keywords
Citation

Damanik, David, Lemm, Marius, Lukic, Milivoje, et al.. "New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains." Physical Review Letters, 113, no. 12 (2014) American Physical Society: 127202. http://dx.doi.org/10.1103/PhysRevLett.113.127202.

Has part(s)
Forms part of
Rights
Article 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.
Link to license
Citable link to this page