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 [DS Tikhonov …

In this paper, we investigate when linearly independent eigenfunctions of the Schrödinger
operator may have the same modulus. General properties are established and the one …

We address the small-time controllability problem for a nonlinear Schrödinger equation on in
the presence of magnetic and electric external fields. We choose a particular framework …

A variety of physically relevant bilinear Schr\" odinger equations are known to be globally
approximately controllable in large times. There are however examples which are globally …

In this work we analyse the small-time reachability properties of a nonlinear parabolic
equation, by means of a bilinear control, posed on a torus of arbitrary dimension $ d …

In this work, we establish a link between the small-time approximate controllability of bilinear
Schr\" odinger PDEs (posed on a boundaryless Riemannian manifold $ M $) and the control …

We numerically study the optimal control of an atomic Bose-Einstein condensate in an
optical lattice. We present two generalizations of the gradient-based algorithm, GRAPE, in …

In this paper we show that bilinear wave equations (on a torus of arbitrary dimension) are
globally approximately controllable in any positive time, when the initial state of the system …

The goal of this article is to contribute to a better understanding of the relations between the
exact controllability of nonlinear PDEs and the control theory for ODEs based on Lie …

Several infinite dimensional bilinear quantum systems encountered in the physics literature
can be described, with good precision, by appropriate finite dimensional approximations …