Teaching

Semesters 1, 2, and 3 are divided into modules worth 3 or 6 ECTS credits. Semesters 2 and 4 include three-month and six-month research internships, respectively, carried out within a research laboratory.

Click on the course titles to see the number of ECTS credits awarded for each module and detailed information about the course content.


Semester 1

Mathematical et numerical methods

Credits: 6 ECTS

  • Complex analysis
  • Stochastic Processes, Langevin and Fokker–Planck Equations
  • Monte Carlo Methods
  • Molecular Dynamics
  • Introduction to Parallel Computing (MPI, OpenMP, CUDA)

Teachers
Advanced quantum physics

Credits: 6 ECTS

  • Basics (Harmonic oscillator, density operator, symmetry operator,...)
  • Hydrogen atom (Fine, Hyperfine and Zeeman structure)
  • Scattering by a potential
  • Identical particles
  • Second quantification (Fock base, field operator, field quantification,...)

Teachers
  • Alibart, O
  • Saint-Jalm, R.
Statistical physics

Credits : 6 ECTS

  • Statistical entropy and Boltzmann distribution
  • Canonical and grand canonical ensembles
  • Quantum statistics
  • Intrduction to critical phenomena

Teachers
Dynamical systems

Credits : 6 ECTS

  • Modelisation in Physics
  • Linear stability analysis
  • Qualitative notions of dynamics (phase portraits, Poicaré surface of section, metastability, excitability)
  • Bifurcations and normal forms
  • Extended systems in space, solitons
  • Examples of instabilities (fluid mechanics, lasers)
  • Lagrangian and Hamiltonian mechanics
  • Transition to chaos

Teachers
Scientific communication

Credits : 3 ECTS

  • Scientific articles presentation
  • Oral communication
  • Group cohesion

Teacher
Laboratory techniques

Credits : 3 ECTS

  • Teachniques learning
  • Discovering the ingineering wordl
  • Immersion within laboratories

Teachers


Semester 2

Hydrodynamics

Credits : 6 ECTS

  • Fluids cinematics
  • Viscious fluids dynamics
  • Balance equations
  • Potential flows
  • Vorticity
  • Small Reynolds number flows
  • Laminary boundary layers
  • Hydrodynamical instabilities

Teachers
  • Cohen, C.
  • Raufaste, C. 
Out-of-equilibrium statistical physics

Credits : 3 ECTS

  • Origins of irreversibility
  • Transport macroscopic theory
  • Transport microscopic theory

Teachers
  • Mortessagne, F.
Nonlinear optics

Credits : 3 ECTS

  • Scattering phenomena: Brillouin, Raman
  • Parametric phenomena: second and third order effects
  • Applications: conjugaison phase mirrors, optical solitons, OPO, ...

Teachers
  • Baldi, P.
Lasers

Credits : 3 ECTS

  • Gaussian beams
  • Cavity stability calculation
  • Amplifiers and laser sources

Teachers
  • Giudici, M.
  • Kéfélian, F.
Modern physics workshop

Credits : 3 ECTS

  • 2023-2024: Active matter
  • 2024-2025: Time
  • 2025-2026: Critical phenomena 
Laboratory project

Credits : 3 ECTS

  • Package: Lecture, TD, Experiments
  • Scientific articles
  • Over the semester
3 months internship

Credits : 9 ECTS


Semester 3

Condensed matter physics

Credits : 6 ECTS

  • Crystal structure
  • Bands theory
  • Semiconductors properties
  • Light-matter interactions
  • Topological states of matter

Teachers
  • Duboz, J.-Y.
  • Mortessagne, F.
Biophysics

Credits : 3 ECTS

  • Notions of molecular and cellular biology
  • Fluorescence: theory, techniques, applications
  • Biomechanics: strength measure, molecular motors, plants physics

Teachers
  • Noblin, X.
  • Thomen, P.
Capillarity and wetting

Credits : 3 ECTS

  • Surface tension
  • Fluids interfaces, Laplace law and Plateau law: films, dropplets, jets, emulsions, foams
  • Static and dynamics contact angles
  • Surface texturation
  • Microfluidics

Teachers
  • Cohen, C.
  • Raufaste, C.
Waves and hydrodynamics instabilities

Credits : 3 ECTS

  • Multiscale methods, enveloppe formalism
  • Landau equation
  • Water waves hydrodynamical problem
  • Soliton and KDV equation, Nonlinear Schrödinger equation

Teachers
  • Frisch, T.
  • Argentina, M.
Photonics

Credits : 3 ECTS

  • Guided optics
  • Optical circuits, ships, networks
  • Special optical fibers
  • Materials for optics

Teachers
  • Baldi, P.
  • Doya, V.
Quantum fluids

Credits : 3 ECTS

  • Symetrisation principle, Fermi-Dirac and Bose-Einstein statistics
  • Superfluid hydrodynamics (2 fluids model, Landau criterium)
  • Supraconductivity
  • Quantum fluids examples: quantum gases, Fermi liquids, Luttinger liquids, Quantum Hall effect
  • Some experiments with quantum fluids

Teachers
  • Hébert, F.
  • Michel, C.
Waves in complex systems

Credits : 3 ECTS

  • Semi-classical approach for wave chaos
  • Plane wave superposition
  • Scattering

Teachers
  • Aubry, G.
  • Michel, C.
Option 1: Quantum information

Credits : 3 ECTS

  • Introduction to quantum information: coherent superposition, entanglement, non cloning theorem
  • Quantum communication (protocols, security proofs, experimental realisations)
  • Quantum calculation/simulation
  • Quantum metrology

Teachers
  • Martin, A.
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Credits : 3 ECTS

  • Statistics optics
  • Coherence degree
  • Quantization of the electromagnetic field
  • Coherent and squeezed states of light
  • Multimode quantum optics

Teachers
  • Alibart, O.
  • D'Auria, V.
  • Marconi, M.
Option 2: Turbulence/Microfluidics, complex fluids and active matter

Credits : 3 ECTS

  • Turbulence and Navier-Stokes and Euler equations
  • Random models of turbulence
  • Boundary turbulence

Teachers
  • Brouzet, C.
  • Thalabard, S.
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Credits : 3 ECTS

  • Microfluidics
  • Two-Phase Flows and Mass and Heat Transfer
  • Rheology of Complex Fluids
  • Swimming and Active Matter

Teachers
  • Keiser, L.
  • Cohen, C.

Semestre 4

Scientific communication

Credits : 3 ECTS

  • Article redaction
  • Oral presentation
  • Group cohesion 
6 months laboratory internship

Credits : 27 ECTS

Schedule

Master 1

Master 2