Abbréviation
M2
Doctoral School Astronomy and Astrophysics for Paris Area

The Doctoral School offers physics and mathematics students training in the broad interdisciplinary field of Astronomy and Astrophysics through all of its methods of observation, measurement and computation. 

The subject area continues to grow every year, covering planets to cosmology, using a wide variety of advanced tools preparing for next generation instruments.

Master of Macroscopic physics

These courses cover topics in macroscopic physics, nonequilibrium phenomena, fluid dynamics, nonlinear waves and patterns generated by instability. 

The mathematical framework includes dynamical systems, partial differential equations, and stochastic processes. These courses are now offered as part of various master’s programs in Paris.

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. 

  • 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.

« 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.