Alessandro Duca

activity

20182026

most citedBilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation

1 citations · 2 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.OC2019

Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall

Alessandro Duca, Romain Joly, Dmitry Turaev

We study the Schrödinger equation $i \partial_{t} ψ = - Δ ψ + V ψ$ on $L^{2} ((0, 1), C)$ where $V$ is a very high and localized potential wall. We aim to perform permutations of the eige…

math.AP2019

Controllability of periodic bilinear quantum systems on infinite graphs

Kaïs Ammari, Alessandro Duca

In this work, we study the controllability of the bilinear Schrödinger equation on infinite graphs for periodic quantum states. We consider the bilinear Schrödinger equation $i\par…