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Global Approximate Controllability of Quantum Systems by Form Perturbations and Applications by Balmaseda, Aitor; Lonigro, Davide; Pérez-Pardo, Juan Manuel is a scholarly article available to read on EtoBox.

What is Global Approximate Controllability of Quantum Systems by Form Perturbations and Applications about?

We provide sufficient conditions for the approximate controllability of infinite-dimensional quantum control systems corresponding to form perturbations of the drift Hamiltonian modulated by a control function. We rely on previous results on controllability of quantum bilinear control systems and obtain a priori $L^1$-bounds of the controls for generic initial and target states. We apply a stability result for the non-autonomous Schr\"odinger equation to extend the results to systems defined by form perturbations, including singular perturbations. As an application of our results, we prove approximate controllability of a quantum particle in a one-dimensional box with a point-interaction with tuneable strength at the centre of the box.

Author

Balmaseda, Aitor; Lonigro, Davide; Pérez-Pardo, Juan Manuel

Published

2024

Language

EN