Exposing local symmetries in distorted driven lattices via time-averaged invariants
Quantum Physics
2016-05-25 v2 Disordered Systems and Neural Networks
Other Condensed Matter
Abstract
Time-averaged two-point currents are derived and shown to be spatially invariant within domains of local translation or inversion symmetry for arbitrary time-periodic quantum systems in one dimension. These currents are shown to provide a valuable tool for detecting deformations of a spatial symmetry in static and driven lattices. In the static case the invariance of the two-point currents is related to the presence of time-reversal invariance and/or probability current conservation. The obtained insights into the wavefunctions are further exploited for a symmetry-based convergence check which is applicable for globally broken but locally retained potential symmetries.
Keywords
Cite
@article{arxiv.1511.05051,
title = {Exposing local symmetries in distorted driven lattices via time-averaged invariants},
author = {Thomas Wulf and Christian V. Morfonios and Fotis K. Diakonos and Peter Schmelcher},
journal= {arXiv preprint arXiv:1511.05051},
year = {2016}
}