Abbréviation
M2
Master of Astronomy, Astrophysics and Space Engineering

Students wishing to specialize in astronomy and astrophysics can enroll in the second year of the "Astronomy, Astrophysics and Space Engineering" Master's program, jointly organized by 5 institutions in the Paris region: Observatoire de Paris and Ecole Normale Supérieure de Paris (PSL), Sorbonne University, Université de Paris Cité, and Université Paris-Saclay. 

The Master proposes two tracks : "Astrophysique" et "Dynamique des systèmes gravitationnels", et forme une quarantaine d’étudiants par an.

The goal of this course is to introduce the main concepts and challenges of quantum computing, a new set of technologies and techniques that promise to solve hard computational problems.

 

a quantum circuit

The aim of this lecture is to provide a description of quantum transport in disordered systems, with an emphasis on important phenomena like weak localization, Anderson localization and the Anderson metal-insulator transition. During the lecture, a number of important theoretical tools needed to describe quantum particle scattering in the presence of spatial disorder will be introduced in a pedagogical fashion, such as the Green's function technique, diagrammatic approaches to weak localization and transfer matrices. The lectures will be also illustrated by experimental examples and tutorials, especially taken from the physics of quantum gases and  condensed matter.

Atoms and photons are the quantum probes that enable some of mankind’s most precise measurements. 

Since the 80’s, laser cooling has enabled the production of sub-milliKelvin dilute atomic gases - which can be further cooled to the nanoKelvin regime.

The aim of this course is to present a selection of advanced topics in classical gravitational dynamics. 

Progress in experimental quantum physics has transformed thought experiments into reality, so that an exciting new question can now be asked : How can we harness the "strange" features of quantum mechanics - such as nonlocality, entanglement, and quantum measurement - in new applications ? In this new field, broadly called “quantum technologies”, new ideas and concepts are being put forward.

  • This lecture aims at the description of the interaction between quantum matter in its simplest form, an atom, and an electromagnetic field. A semi-classical approach, where the field is classical, is first considered, including relaxation of the atom. We then study the quantization of the electromagnetic field and its relaxation, before its interaction with an atom is described in a full quantum model.

The aim of the course is to present in details some advanced theoretical tools in quantum mechanics with an emphasis on degenerate many-body systems and scattering theory.

« La chétive pécore, s’enfla si bien qu’elle creva ». « Je plie, et ne romps pas ». While taking inspiration from the living, La Fontaine noticed examples of organisms – frog and reed – that deform strongly, sometimes beyond unrecoverable limits.