Work

Finite dimensional Galerkin approximations for mildly-coupled bilinear quantum systems

Year: 2024

Type: conference-paper

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.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc56724.2024.10886089

Authors: Nabile Boussaïd, Marco Caponigro, Thomas Chambrion

Institutions: Université de Franche-Comté, University of Rome Tor Vergata, Centre National de la Recherche Scientifique, Université de Bourgogne, Institut de Mathématiques de Bourgogne

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green