39 citations · 74 across the 14 of their papers we have counts for
15 papers
Enhancing the controllability of quantum systems via a static field
Ruikang Liang, Eugenio Pozzoli, Monika Leibscher +3
We provide a sufficient condition for the controllability of a bilinear closed quantum system steered by a static field and a time-varying field, based on the notion of weakly coni…
Quantum control of ro-vibrational dynamics and application to light-induced molecular chirality
Monika Leibscher, Eugenio Pozzoli, Alexander Blech +3
Achiral molecules can be made temporarily chiral by excitation with electric fields, in the sense that an average over molecular orientations displays a net chiral signal [Tikhonov…
Small-time global approximate controllability of bilinear wave equations
Eugenio Pozzoli
We consider a bilinear control problem for the wave equation on a torus of arbitrary dimension. We show that the system is globally approximately controllable in arbitrarily small…
Embedding the Grushin Cylinder in and Schroedinger evolution
Ivan Beschastnyi, Ugo Boscain, Daniele Cannarsa +1
We consider the evolution of a free quantum particle on the Grushin cylinder, under different type of quantizations. In particular we are interested to understand if the particle c…
Small-time bilinear control of Schrödinger equations with application to rotating linear molecules
Thomas Chambrion, Eugenio Pozzoli
In [14] Duca and Nersesyan proved a small-time controllability property of nonlinear Schrödinger equations on a d-dimensional torus . In this paper we study a similar…
Single-input perturbative control of a quantum symmetric rotor
Thomas Chambrion, Eugenio Pozzoli
We consider the Schrödinger partial differential equation of a rotating symmetric rigid molecule (symmetric rotor) driven by a z-linearly polarized electric field, as prototype of…
Heat equation with inverse-square potential of bridging type across two half-lines
Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli
The heat equation with inverse square potential on both half-lines of is discussed in the presence of \emph{bridging} boundary conditions at the origin. The problem is…
Lie algebra for rotational subsystems of a driven asymmetric top
Eugenio Pozzoli, Monika Leibscher, Mario Sigalotti +2
We present an analytical approach to construct the Lie algebra of finite-dimensional subsystems of the driven asymmetric top rotor. Each rotational level is degenerate due to the i…
Classical and quantum controllability of a rotating asymmetric molecule
Eugenio Pozzoli
We study both the classical and quantum rotational dynamics of an asymmetric top molecule, controlled through three orthogonal electric fields that interact with its dipole moment.…
Quantum confinement in -Grushin planes
Eugenio Pozzoli
We consider here a family of singular Laplace-Beltrami operators, focussing our attention on the problem of so-called quantum confinement on the half-plane equipped with Riemannian…
Quantum confinement for the curvature Laplacian on 2D-almost-Riemannian manifolds
Ivan Beschastnyi, Ugo Boscain, Eugenio Pozzoli
Two-dimension almost-Riemannian structures of step 2 are natural generalizations of the Grushin plane. They are generalized Riemannian structures for which the vectors of a local o…
Complete Controllability Despite Degeneracy: Quantum Control of Enantiomer-Specific State Transfer in Chiral Molecules
Monika Leibscher, Eugenio Pozzoli, Cristobal Pérez +4
We prove complete controllability for rotational states of an asymmetric top molecule belonging to degenerate values of the orientational quantum number M. Based on this insight, w…
Quantum Geometric Confinement and Dynamical Transmission in Grushin Cylinder
Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli
We classify the self-adjoint realisations of the Laplace-Beltrami operator minimally defined on an infinite cylinder equipped with an incomplete Riemannian metric of Grushin type,…
Classical and quantum controllability of a rotating symmetric molecule
Ugo Boscain, Eugenio Pozzoli, Mario Sigalotti
In this paper we study the controllability problem for a symmetric-top molecule, both for its classical and quantum rotational dynamics. The molecule is controlled through three or…
On Geometric Quantum Confinement in Grushin-type Manifolds
Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli
We study the problem of so-called geometric quantum confinement in a class of two-dimensional incomplete Riemannian manifold with metric of Grushin type. We employ a constant-fibre…