Lecture B1
"Atom Optics: general concepts and tools provided by structured light beams"
 
Abstract:

After a concise introduction to the basic concepts of atom optics, we briefly revisit the usual experimental platforms where material analogues of diffraction and interference devices are implemented. A review of different regimes and description of paradigmatic applications of these concepts follows this introduction. Finally, an experimental study of the scattering of ultra cold atoms by structured optical beams is presented. This study allows the identification of correlations between a dynamical variable of the light beam (different from energy, linear momentum, and angular momentum)  and its material analog.

Lecture B3
"Phase-space dynamics induced by low-energy binary collisions of quantum droplets"

Abstract: Quantum droplets in a Bose-Einstein Condensate are self-bound, liquid-like quantum states formed by the balance of attractive mean-field interactions and repulsive quantum fluctuations. A theoretical analysis of binary collisions of quantum droplets under feasible experimental conditions is presented. Droplets formed from degenerate dilute Bose gases made up from binary mixtures of ultracold atoms are considered. Reliable expressions for the surface tension of the droplets are introduced based on a study of low energy excitations of their ground state within the random phase approximation and Thouless variational theorem. The surface tension expressions allow for the calculation of the Weber number (relating the kinetic energy and the surface tension) of the droplets involved in the collisions. Several regimes on the outcomes of the binary frontal and lateral collisions are reported. Emphasis is given to the evolution in phase-space and the eventual formation of vortices.

Bio:

Rocío Jauregui-Renaud is Professor of Physics at the Instituto de Fisica in the Universidad Nacional Autonoma de Mexico. Dr. Jauregui's research has focused mainly on the following areas: (i) atomic physics, (ii) quantum mechanics (optics and quantum information), (iii) optics, and (iv) quantum field theory. Initially, she worked on the detailed calculation of atomic spectra from first principles, the study of the static and dynamic Casimir effect, and the analysis of classical and quantum correlations in many-body systems, including relativistic effects. In her second phase, her contributions are devoted to the detailed description of the evolution of controlled quantum systems.