On stable quantum currents
Joachim Asch, Olivier Bourget, Alain Joye
Source abstract
We study the transport properties of discrete quantum dynamical systems on the lattice, in particular, coined quantum walks and the Chalker–Coddington model. We prove the existence of a non-trivial charge transport implying that the absolutely continuous spectrum covers the whole unit circle under mild assumptions. We discuss anomalous quantum charge transport. For quantum walks, we exhibit the explicit constructions of coins that imply the existence of stable directed quantum currents along classical curves. The results are of topological nature and independent of the details of the model.
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