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Article Dans Une Revue Journal of Mathematical Physics Année : 2020

On stable quantum currents

Résumé

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 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 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.
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Dates et versions

hal-02160583 , version 1 (19-06-2019)
hal-02160583 , version 2 (08-10-2020)

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Joachim Asch, Olivier Bourget, Alain Joye. On stable quantum currents. Journal of Mathematical Physics, 2020, 61 (9), pp.092104. ⟨10.1063/5.0005737⟩. ⟨hal-02160583v2⟩
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