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arXiv · 2108.00495

Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions

Aitor Balmaseda·Davide Lonigro·Juan Manuel Pérez-Pardo
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Abstract

We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges are allowed to be manifolds of arbitrary dimension with quasi-$\delta$ boundary conditions. This is a particular class of self-adjoint boundary conditions compatible with the graph structure. We prove that global approximate controllability can be achieved using two physically distinct protocols: either using the boundary conditions as controls, or using time-dependent magnetic fields. Both cases have time-dependent domains for the Hamiltonians.

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Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo. 2021-08-01. Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions. https://doi.org/10.1088/1751-8121/ace505

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