Séminaire sur le contrôle quantique / seminar on quantum control
Publié le 15 février 2023
–
Mis à jour le 26 mars 2024
Date(s)
le 17 février 2023
A 11h00
Lieu(x)
Campus Valrose
Salle de conférence du laboratoire Dieudonné
Eugenio Pozzoli du Dipartimento di Matematica "Tullio Levi-Civita", Università degli studi di Padova parlera de:
"Small-time control of strongly driven quantum rotors"
We consider a strongly driven quantum rotor, modelled as a Schrödinger
PDE (on the two-dimensional sphere) forced via low modes multiplicative
controls. This system is used in quantum chemistry and quantum
information processing. We present a geometric control strategy for
inducing transitions between particular rotational eigenstates in
arbitrarily small time. Roughly speaking, the first step consists in
sending two impulsions with opposite sign, with a very short time delay.
These opposite kicks permit to recover directions (a.k.a. Lie brackets)
that are not directly accessible.
