13 citations · 21 across the 4 of their papers we have counts for
5 papers
Time Minimal Trajectories for two-level Quantum Systems with Drift
Ugo Boscain, Paolo Mason
On a two-level quantum system driven by an external field, we consider the population transfer problem from the first to the second level, minimizing the time of transfer, with bou…
Time Optimal Synthesis for Left--Invariant Control Systems on SO(3)
Ugo Boscain, Yacine Chitour
Consider the control system given by , where , and define two perpendicular left-invariant vector fields normalized so that $…
Common Polynomial Lyapunov Functions for Linear Switched Systems
Paolo Mason, Ugo Boscain, Yacine Chitour
In this paper, we consider linear switched systems , , , and the problem of asymptotic stability for arbitrary switching functions, unifo…
Resonance of Minimizers for -level Quantum Systems with an Arbitrary Cost
Ugo Boscain, Gregoire Charlot
We consider an optimal control problem describing a laser-induced population transfer on a -level quantum system. For a convex cost depending only on the moduli of controls (i.e…
On the Problem for a Three-level Quantum System: Optimality Implies Resonance
Ugo Boscain, Thomas Chambrion, Jean-Paul Gauthier
We apply techniques of subriemannian geometry on Lie groups to laser-induced population transfer in a three-level quantum system. The aim is to induce transitions by two laser puls…