Finite dimensional Galerkin approximations for mildly-coupled bilinear quantum systems
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.
Authors
- Thomas Chambrion (ORCID: https://orcid.org/0000-0002-9006-7596)
- Marco Caponigro (ORCID: https://orcid.org/0000-0002-7577-6087)
- Nabile Boussaïd (ORCID: https://orcid.org/0000-0003-2858-2084)
Institutions
- University of Rome Tor Vergata (IT)
- Centre National de la Recherche Scientifique (FR)
- Université de Bourgogne (FR)
- Institut de Mathématiques de Bourgogne (FR)
- Institut de Mathématiques de Bordeaux (FR)
- Université de Franche-Comté (FR)
Publication Details
- Published
- 2024-12-16
- DOI
- https://doi.org/10.1109/cdc56724.2024.10886089
- Primary Topic
- Spectroscopy and Quantum Chemical Studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Agence Nationale de la Recherche
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Università degli Studi di Roma Tor Vergata
- Conseil régional de Bourgogne-Franche-Comté