# Agenda

# Wednesday 24 March 2021

### On the ensemble controllability of quantum systems via adiabatic methods

#### Nicolas Augier (INRIA Sophia-Antipolis)

The principal issue that will be developed in this talk is how to control

a parameter-dependent family of quantum systems with a common control input,

that is, the ensemble controllability problem. Thanks to the study one-parametric

families of Hamiltonians and their generic singularities when the system is driven

by two real inputs, we will give an explicit adiabatic control strategy for the

ensemble controllability problem when geometric conditions on the spectrum of

the Hamiltonian are satisfied, in particular, the existence of conical or

semi-conical intersections of eigenvalues.

Then, in order to understand which controllability properties can be extended

to the case where the system is driven by a single real input, we will study the

compatibility of the adiabatic approximation with the rotating wave approximation.

### Random Schrödinger Operators arising in the study of aperiodic media

#### Constanza Rojas-Molina (CY Cergy Paris Université)

In this talk we review some recent results on random Schrödinger operators,

a standard framework for the study of the absence of wave propagation in random media, a phenomenon known

as Anderson localization. We focus on the case where the random medium is given by a random potential with

aperiodic underlying structure, which breaks the ergodicity of the model. We will see how information on the localization properties

for these non-ergodic models can be applied to

study the spectral and dynamical properties of Delone operators. The latter are deterministic models associated to

aperiodic structures (quasi-crystals). This is joint work with Peter Müller (LMU München)