Several infinite dimensional bilinear quantum systems encountered in the physics literature can be described, with good precision, by appropriate finite dimensional approximations. We present a regularity condition sufficient for the existence of these approximations. We also show a counterexample of a system that is approximately controllable while its infinite dimensional dynamics cannot be precisely described by its finite dimensional Galerkin approximations.
Boussaïd, N., Caponigro, M., Chambrion, T. (2024). Finite dimensional Galerkin approximations for mildly-coupled bilinear quantum systems. In Proceedings of the IEEE Conference on Decision and Control (pp.7970-7975). 345 E 47TH ST, NEW YORK, NY 10017 USA : Institute of Electrical and Electronics Engineers [10.1109/cdc56724.2024.10886089].
Finite dimensional Galerkin approximations for mildly-coupled bilinear quantum systems
Caponigro, Marco;
2024-01-01
Abstract
Several infinite dimensional bilinear quantum systems encountered in the physics literature can be described, with good precision, by appropriate finite dimensional approximations. We present a regularity condition sufficient for the existence of these approximations. We also show a counterexample of a system that is approximately controllable while its infinite dimensional dynamics cannot be precisely described by its finite dimensional Galerkin approximations.| File | Dimensione | Formato | |
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