3 papers
math.OC2020
Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation
Nicolas Augier, Ugo Boscain, Mario Sigalotti
In this paper we study up to which extent we can apply adiabatic control strategies to a quantum control model obtained by rotating wave approximation. In particular, we show that,…
math.OC2019
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems
Nicolas Augier, Ugo Boscain, Mario Sigalotti
We study one-parametric perturbations of finite dimensional real Hamiltonians depending on two controls, and we show that generically in the space of Hamiltonians, conical intersec…
math.OC2019
On the compatibility between the adiabatic and the rotating wave approximations in quantum control
Nicolas Augier, Ugo Boscain, Mario Sigalotti
In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to…