4 papers · 1 filter
Small-time approximate controllability of the logarithmic Schr\''dinger equation
Karine Beauchard, Rémi Carles, Eugenio Pozzoli
We consider Schr{ö}dinger equations with logarithmic nonlinearity and bilinear controls, posed on or . We prove their small-time global -approxima…
Orbits and attainable Hamiltonian diffeomorphisms of mechanical Liouville equations
Bettina Kazandjian, Eugenio Pozzoli, Mario Sigalotti
We study the approximate controllability problem for Liouville transport equations along a mechanical Hamiltonian vector field. Such PDEs evolve inside the orbit $$\mathcal{O}(ρ_0)…
Good Lie Brackets for classical and quantum harmonic oscillators
Andrei Agrachev, Bettina Kazandjian, Eugenio Pozzoli
We study the small-time controllability problem on the Lie groups and with Lie bracket methods (here $H_{d}(\mathbb{R…
Approximation of diffeomorphisms for quantum state transfers
Eugenio Pozzoli, Alessandro Scagliotti
In this paper, we seek to combine two emerging standpoints in control theory. On the one hand, recent advances in infinite-dimensional geometric control have unlocked a method for…