Engineering stable quantum currents at bulk boundaries
Mathematical Physics
2019-06-20 v1 math.MP
Abstract
We study transport properties of discrete quantum dynamical systems on the lattice, in particular Coined Quantum Walks and the Chalker--Coddington model. We prove existence of a non trivial charge transport and that the absolutely continuous spectrum covers the whole unit circle under mild assumptions. For Quantum Walks we exhibit explicit constructions of coins which imply existence of stable directed quantum currents along classical curves. The results are of topological nature and independent of the details of the model.
Keywords
Cite
@article{arxiv.1906.08181,
title = {Engineering stable quantum currents at bulk boundaries},
author = {Joachim Asch and Olivier Bourget and Alain Joye},
journal= {arXiv preprint arXiv:1906.08181},
year = {2019}
}