66 citations · 187 across the 25 of their papers we have counts for
4 papers · 1 filter
Periodic control laws for bilinear quantum systems with discrete spectrum
Nabile Boussaïd, Marco Caponigro, Thomas Chambrion
We provide bounds on the error between dynamics of an infinite dimensional bilinear Schrödinger equation and of its finite dimensional Galerkin approximations. Standard averaging m…
Implementation of logical gates on infinite dimensional quantum oscillators
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In this paper we study the error in the approximate simultaneous controllability of the bilinear Schrodinger equation. We provide estimates based on a tracking algorithm for genera…
Weakly-coupled systems in quantum control
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This paper provides rigorous definitions and analysis of the dynamics of weakly-coupled systems and gives sufficient conditions for an infinite dimensional quantum control system t…
On stability of standing waves of nonlinear Dirac equations
Nabile Boussaid, Scipio Cuccagna
We consider the stability problem for standing waves of nonlinear Dirac models. Under a suitable definition of linear stability, and under some restriction on the spectrum, we prov…