Scientific blocks

Perturbation theory
Angular momentum, spin-spin couplings
Quantum dynamics, Dyson series, adiabatic and sudden approximations
Multipartite systems, second quantization theory, CCR and CAR algebras
Quantum information theory, entanglement and quantum correlations, quantum communication and quantum computation protocoles, quantum control
Quantum optics, coherent and squeezed states, field-source couplings
Mixed states, open quantum systems and master equations, lattice spin systems, cold atoms

Discrete representations of differential operators (finite difference method, DVR/FBR methods)
Wave packet propagation algorithms and Schrödinger equation integrators (Richardson method, split operator method, spectral integrators)
Diagonalization methods (power matrix method, Lanczos algorithm), spectral analysis methods (random matrices, level spacing distribution) and quantum Monte Carlo algorithm
Opimal control algorithms (gradient algorithm, genetic algorithm)

Python, Matlab, Fullwave

Perurbation theory, Fermi golden-rule
Electromagnetic gauge choices
Atom-field interaction: classical, semi-classical and quantum models, optical Bloch equations, dressed atom, quantum electrodynamics
Molecular energy levels, spectral lines
Laser physics : laser cavities, running modes (continuous wave, pulsed, locked phase), laser diodes
Intermolecular interactions, van der Waals interactions
Molecular spectroscopy, spectral line profiles
Astrophysical spectroscopy : planetology, stellar spectroscopy, interstellar medium

Fortran, Python

Classical statistical mechanics: phase space, microstates, entropy, classical equilibrium distributions (microcanonical, canonical, grand-canonical), gas kinetic theory
Quantum statistical mechanics: density matrices, von Neuman entropy, second quantization theory, perfect quantum gases
Mechanical, electrical, magnetical and thermal properties of materials
Cristal structures
Complex systems: BBGKY hierarchy, statistics of interacting particles, phase transitions and spontaneous symmetry breaking, spin systems
Free electrons (Drude and Sommerfeld models, energy bands, Bloch theorem, conductors and semi-conductors)
Phonons, phonon-electron interactions, phonon-photon interactions
Bose-Einstein condensates, Bogoliubov transformations, superfluidity, superconductivity

Monte Carlo methods
Multiphysics computation (finite element software)
Quantum chemistry methods (density functional theory and time-dependent density functional theory)

Python, COMSOL, Gaussian

Astronomical dynamical systems (optional problems about celestial mechanics, cosmology, Earth and Sun magnetism)
Planetology, stellar spectroscopy, interstellar medium
Celestial mechanics : 3 body problem, chaos in the solar system, post-Newtonian dynamics
Astronomical data processing : Imaging sensors (CDD, CMOS, IR) and astronomical image processing with Python and MIDAS softwares.
Galactic astrophysics (only viewed during project activities)
Internship at the Pic-du-Midi Observatory (optional and selective)

Biological dynamical systems (optional problems about cell biology, population dynamics, and biomechanics)
eHealth hackathon
Biomolecules (dynamics and docking methods) (only viewed during project activities)
Biomedical imaging and radio-physics (only viewed during project activities)

Geophysical dynamical systems (optional problems about atmospheric dynamics, Earth magnetism, seismic mechanics)
Molecular spectroscopy applied to atmospheric detection, molecular atmospheric interaction
Climatology: simulations and data analysis (only viewed during project activities)

Quantum and statistical physics, chaos theory
Theoretical dynamical systems (optional problems about particle physics, cosmology and symbolic dynamics)
General relativity (geodesic dynamics, black holes) (only viewed during project activities)
Quantum field theory (only viewed during project activities)
Mathematical physics (functional and spectral analysis, differential geometry, Lie groups and algebras) (only viewed during project activities)