9 papers
Branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two
Luca Rizzi, Mario Sigalotti, Nicolò Tedesco
We study branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two. As an application, we provide examples of two new phenomena: continuous families of strict…
Local controllability of heralded quantum linear optics
Tommaso Francalanci, Nicolò Spagnolo, Mario Sigalotti +3
Photonic linear optical networks provide a versatile platform for quantum information processing and quantum state engineering. However, the set of states that can be generated usi…
A Mathematical Characterization of Neural Activation Induced by Temporal Interference Stimulation
Esteban Paduro, Antoine Chaillet, Mario Sigalotti
Temporal Interference Stimulation (TIS) is a non-invasive neuromodulation technique in which two high-frequency sinusoidal currents with slightly different frequencies generate a l…
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…
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}(Ï_0…
Hautus--Yamamoto criteria for approximate and exact controllability of linear difference delay equations
Yacine Chitour, Sébastien Fueyo, Guilherme Mazanti +1
The paper deals with the controllability of finite-dimensional linear difference delay equations, i.e., dynamics for which the state at a given time is obtained as a linear com…