On stable quantum currents
Copyright policy )On stable quantum currents
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.
- Centre de Physique Théorique France
- Pontifical Catholic University of Chile Chile
- Institut Fourier France
- Aix-Marseille University France
- Joseph Fourier University France
15 Vida de ecosistemas terrestres, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], 15 Life on Land, Transport processes in time-dependent statistical mechanics, Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics, 530, MESH: 10.1063/5.0005737, 08 Decent Work and Economic Growth, 08 Trabajo decente y crecimiento económico, quantum charge transport, Chalker-Coddington model, 03 Salud y bienestar, quantum walks, 03 Good Health and Well-being, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices
15 Vida de ecosistemas terrestres, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], 15 Life on Land, Transport processes in time-dependent statistical mechanics, Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics, 530, MESH: 10.1063/5.0005737, 08 Decent Work and Economic Growth, 08 Trabajo decente y crecimiento económico, quantum charge transport, Chalker-Coddington model, 03 Salud y bienestar, quantum walks, 03 Good Health and Well-being, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices
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