M2 Fundamental concepts of physics

Emmanuel Trizac, Martin Lenz, Frédéric Van Wijland, Christophe Mora.

Introduction to phase transitions and critical phenomena
- First order phase transitions
- critical phenomena : qualitative approaches
- Renormalisation group ideas.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Université de Paris

JF. Allemand, V. Croquette, S. Descroix, B. Hajj, MC. Jullien, S. Mangenot, B. Pansu, V. Bormuth, R. Candelier, G. Debrégeas , A. Siria.

This course will present some of the most recent and used advances in experimental physics used in soft matter and biological physics.

A few, typically 5, courses will be dedicated to provide a general theoretical background required to understand the basics of these techniques (Fourier optics, Superresolution , Fluorescence, Micromanipulation techniques (AFM, optical or magnetic tweezers), X rays, Microfabrication and Microfluidics).

Then 4 courses will be dedicated to practical courses. Students will be asked to chose 2 practical courses and will spend 2 4 hours courses in lab using some of those recent techniques (single molecule imaging and manipulation, advanced optical microscopy, AFM, X rays....).

The remaining courses will be based on inverted pedagogy. They will be directed by the students who will use those practical courses and recent scientific articles to present in a more detailed and applied way those
techniques to the class. The goal of this course is to provide a modern experimental culture to students so that they know which techniques can be used in their future research projects.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Frédéric Chevy, David Papoular.

The aim of the course is to present in depth the basic theoretical tools in quantum mechanics with a focus on degenerate N-body systems and open systems. The concepts discussed in the course will be illustrated in the tutorials by significant physical applications, often inspired by the current research especially in the field of cold atoms.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Emmanuel Trizac, Martin Lenz, Frédéric Van Wijland, Christophe Mora.

Introduction to phase transitions and critical phenomena
- First order phase transitions
- critical phenomena : qualitative approaches
- Renormalisation group ideas.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Université de Paris

Hélène Perrin, Tarik Yefsah, Clément Sayrin.

1) Classical and phenomenological approaches to light-matter coupling. Harmonically bound electron, Einstein’s coefficients.
2) Semi-classical approach. Atom-field interaction Hamiltonian. Perturbative solution for the non-resonant interaction. Resonant interaction. Atomic relaxation. Optical Bloch equations and applications.
3) Field quantization. Eigenmodes of the classical field, normal variables, field energy, momentum and angular momentum. Field Hamiltonian, creation and annihilation operators, field operators. Quantum states of the field. Phase space representations, Wigner function. Coupling of field modes. Field relaxations.
4) Quantum field coupled with quantum matter. Atom-field interaction. Spontaneous emission. Photo-detection signals and intensity correlations, Hanbury-Brown and Twiss, bunching and anti-bunching. Jaynes and Cummings model, cavity quantum electrodynamics. Applications : from Purcell effect to strong coupling. Collective emission, super-radiance.

Excellent M1 level in physics Good knowledge in english Excellent command of basic quantum physics A working knowledge of density operator and a good knowledge of classical electromagnetism.

. C. Cohen-Tannoudji, J. Dupont-Roc and G. Grynberg, “An introduction to quantum electrodynamics” and “Photons and atoms”, Wiley, 1992 . S. Haroche and J.-M. Raimond “Exploring the quantum”, OUP 2006 . G. Grynberg, A. Aspect and C. Fabre, “Introduction to Quantum Optics”, Cambridge University Press (2010) . C. Cohen-Tannoudji and D. Guéry-Odelin “Advances in atomic physics: an overview”, World Scientific 2012.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Alberto ROSSO, Marcello CIVELLI, Guillaume ROUX.

NumPhysParis is a general course in Computational Physics, with applications in statistical physics, atomic and condensed-matter.
We will cover the many numerical algothims used in modern many-body problems : Monte Carlo (classical and quantum), molecular dynamics, stochastic computation, exact diagonalization, optmization in complex landscapes. Implications to computer science problems are also discussed. We focus on algorithms and physics, not on programming and heavy numerics. The theoretical lecture is followed by a tutorial introducing many concrete numerical exercises. You will have to hand in 3 homeworks.

Excellent M1 level in physics Good knowledge in english The program language that we use is Python 3. No previous experience in programming is required.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Benoit DOUCOT, Laura MESSIO et Benoit ESTIENNE.

Excellent M1 level in physics Good knowledge in english Basic quantum mechanics, and first course in Solid state physics.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Dimitri Roditchev, Vincent Repain, Indranil Paul.

Superconductivity and magnetism are among the most fascinating phenomena in physics, widely used in modern technology. Superconductivity and magnetism manifest themselves macroscopically, but they both have characteristic microscopic spatial and energy scales and deep microscopic quantum roots. An appropriate quantum mechanical description of both phenomena is therefore required to understand various quantum effects related to these two topics. This comprehension enables one to design superconducting, magnetic or hybrid systems in which the interplay between superconductivity and magnetism leads to novel quantum phenomena.

Excellent M1 level in physics Good knowledge of english.

Septembre - Octobre - Novembre - Décembre.

Université de Paris

Marios PETROPOULOS et Philippe GRANDCLEMENT.

This course aims at presenting a selection of advanced topics in gravitational classical dynamics. It starts with a reminder of the basics of general relativity and Riemannian geometry. The equations of motion are displayed, and Schwarzschild and Kerr solutions obtained. The black-hole properties of the latter are then discussed with special emphasis on their thermodynamic interpretation. Follows the general study of the energy-momentum tensor accompanied with the analysis of the conserved charges of the gravitational field. The last part of the course is devoted to Cartan’s formalism and exterior calculus. These are the building blocks for cosmological applications and primer tools for gravitational instantons, useful for the quantum theory.

Excellent M1 level in physics Good knowledge in english Special relativity and basics of general relativity : elements of differential geometry, Schwarzschild solution, tests of Einstein’s theory of gravity. This can be found in any modern textbook – see bibliography.

Septembre - Octobre - Novembre - Décembre.

Université Paris

BIROLI Giulio, SCHEHR Grégory.

Statistical physics is witnessing a revolution : understanding the dynamics of a very large number of interactive degrees of freedom, which has been from the beginning the main aim of statistical physics, has become now a central problem in many fields such as physics, biology, computer science, just to cite a few.
Now more than ever, statistical physics is both for its methods and its applications a very powerful discipline with a very broad range of theoretical methods and ramifications in many branches of science.

The aim of this series of lectures is facing the students with this very rich state of the art :
on one hand by teaching fundamental notions and methods of statistical physics and at the same time by presenting its modern applications in physics.

Excellent M1 level in physics Good knowledge in english Good knowledge of statistical ensembles (canonical, micro-canonical and grand-canonical) and their use to compute thermodynamic properties of equilibrium systems Basic notions and examples of phase transitions are also required.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Alberto ROSSO, Marcello CIVELLI, Guillaume ROUX.

NumPhysParis is a general course in Computational Physics, with applications in statistical physics, atomic and condensed-matter.
We will cover the many numerical algothims used in modern many-body problems : Monte Carlo (classical and quantum), molecular dynamics, stochastic computation, exact diagonalization, optmization in complex landscapes. Implications to computer science problems are also discussed. We focus on algorithms and physics, not on programming and heavy numerics. The theoretical lecture is followed by a tutorial introducing many concrete numerical exercises. You will have to hand in 3 homeworks.

Excellent M1 level in physics Good knowledge in english The program language that we use is Python 3. No previous experience in programming is required.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Marco Saitta, Silke Biermann, Michele Lazzeri.

The main goal of this course is to cover the modern methods of “ab initio” electronic structure theory, to investigate the ground-state, perturbative, and excited-state properties of condensed matter. This will be achieved by lectures and exercises (TD), including numerical ones. We will start with from the Fermi theory of the electron gas, to develop the fundamentals of Density-Functional Theory (DFT), the main framework and starting point of modern electronic structure methods. We will assess its extent, its main approximations, its operative development, and its main applications in determining the ground-state structural, electronic, and magnetic properties of matter.

Excellent M1 level in physics Good knowledge of english.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Dimitri Roditchev, Vincent Repain, Indranil Paul.

Superconductivity and magnetism are among the most fascinating phenomena in physics, widely used in modern technology. Superconductivity and magnetism manifest themselves macroscopically, but they both have characteristic microscopic spatial and energy scales and deep microscopic quantum roots. An appropriate quantum mechanical description of both phenomena is therefore required to understand various quantum effects related to these two topics. This comprehension enables one to design superconducting, magnetic or hybrid systems in which the interplay between superconductivity and magnetism leads to novel quantum phenomena.

Excellent M1 level in physics Good knowledge of english.

Septembre - Octobre - Novembre - Décembre.

Université de Paris

Jérôme TIGNON, Valia VOLIOTIS, Angela VASANELLI, Maria Luisa DELLA ROCCA.

THEORIE :
-Rappel/intro sur les semiconducteurs
-Modèle k.p et fonctions enveloppes.
-Nanostructures de semiconducteurs.
-Absorption optique, émission stimulée
-Excitations élémentaires : excitons, polaritons, plasmons.
-Interaction électron-phonon.
-Dispositifs opto-électroniques
EXPERIENCES :
-Absorption
-Photoluminescence
-Pompe-sonde
-Mélange à 4 ondes
-Raman
-Spectroscopie FTIR et TDS
-Interférences à 1 ou 2 photons
-Mesures de bruit quantique
PROJETS :
-Absorption inter-sousbande de puits quantiques
Préparation par lithographie et gravure d’un échantillon pour étudier l’absorption inter-sousbande par FTIR
-Micro-Photoluminescence de boites quantiques isolées
Fabrication d’un masque par lithographie optique sur un échantillon pour étudier la microphotoluminescence à basse température
-Expérience de Raman sur Nanotubes de Carbone
Etapes de lithographie optique, spin-coating et caractérisation par AFM puis mesures en Raman.

Excellent M1 level in physics Good knowledge of english.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Emmanuel Trizac, Martin Lenz, Frédéric Van Wijland, Christophe Mora.

Introduction to phase transitions and critical phenomena
- First order phase transitions
- critical phenomena : qualitative approaches
- Renormalisation group ideas.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Université de Paris

Benoit DOUCOT, Laura MESSIO et Benoit ESTIENNE.

Excellent M1 level in physics Good knowledge in english Basic quantum mechanics, and first course in Solid state physics.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Marino Marsi, Fabrice Bert, Victor Balédent, Miguel Monteverde, Evangelos Papalazarou.

In this lecture, we aim at providing a conceptual basis to understand modern experimental techniques used to investigate the structural, electronic and magnetic properties of condensed matter: scattering experiments (X-rays, neutrons, electrons), spectroscopic techniques (XAFS, ARPES, NMR), magnetometries, measurements of dynamical conductivity. The theoretical framework we address includes the description of symmetries, the interaction of radiation and matter, linear response and related tools – correlations functions, generalized susceptibilities – in close relation to the concepts and formalisms introduced in the “theory of condensed matter” lecture. All along the course, we use the same few representative materials to illustrate the input of each technique in our understanding of topical research subjects: high Tc superconducting cuprates, transition metal oxides, spin chains etc… In addition practicals in the lab and at large scale facilities (SOLEIL, LLB) provide the necessary hands-on experience, complementary to the academic lecture.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

ORSAY

HENON Sylvie, SENS Pierre.

Dans ce cours, nous poserons les bases physiques d’une description quantitative des cellules biologiques. Après une introduction générale sur la structure des cellules, les composants moléculaires et les échelles physiques importantes, nous montrerons comment les concepts développés pour l’étude de la matière molle, de la mécanique des milieux complexes, et de la Physique Statistique (à l’équilibre et hors d’équilibre), peuvent être utilisés pour décrire et comprendre la matière vivante.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

JF. Allemand, V. Croquette, S. Descroix, B. Hajj, MC. Jullien, S. Mangenot, B. Pansu, V. Bormuth, R. Candelier, G. Debrégeas , A. Siria.

This course will present some of the most recent and used advances in experimental physics used in soft matter and biological physics.

A few, typically 5, courses will be dedicated to provide a general theoretical background required to understand the basics of these techniques (Fourier optics, Superresolution , Fluorescence, Micromanipulation techniques (AFM, optical or magnetic tweezers), X rays, Microfabrication and Microfluidics).

Then 4 courses will be dedicated to practical courses. Students will be asked to chose 2 practical courses and will spend 2 4 hours courses in lab using some of those recent techniques (single molecule imaging and manipulation, advanced optical microscopy, AFM, X rays....).

The remaining courses will be based on inverted pedagogy. They will be directed by the students who will use those practical courses and recent scientific articles to present in a more detailed and applied way those
techniques to the class. The goal of this course is to provide a modern experimental culture to students so that they know which techniques can be used in their future research projects.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Alberto ROSSO, Marcello CIVELLI, Guillaume ROUX.

NumPhysParis is a general course in Computational Physics, with applications in statistical physics, atomic and condensed-matter.
We will cover the many numerical algothims used in modern many-body problems : Monte Carlo (classical and quantum), molecular dynamics, stochastic computation, exact diagonalization, optmization in complex landscapes. Implications to computer science problems are also discussed. We focus on algorithms and physics, not on programming and heavy numerics. The theoretical lecture is followed by a tutorial introducing many concrete numerical exercises. You will have to hand in 3 homeworks.

Excellent M1 level in physics Good knowledge in english The program language that we use is Python 3. No previous experience in programming is required.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Martine Ben Amar, Stephan Fauve.

Nonlinear Physics: Systems governed by nonlinear equations display multiple solutions with different symmetries.We study the bifurcations i.e. the transitions between these solutions when a parameter of the system is varied. We show thatin the vicinityofthese bifurcations, the systemisgoverned by universal equations, normal forms, that mostly depend on the broken symmetries at the transition. We emphasize the analogy with phase transitions, but also point out differences such that limit cycles or chaotic behaviors that do not occur at equilibrium.
Morphogenesis: Chemical dynamical systems and patterns formation, Biochemical signaling and mechanics, Morphogenesis of physical systems, Free-boundary problems and living colonies.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Marco Saitta, Silke Biermann, Michele Lazzeri.

The main goal of this course is to cover the modern methods of “ab initio” electronic structure theory, to investigate the ground-state, perturbative, and excited-state properties of condensed matter. This will be achieved by lectures and exercises (TD), including numerical ones. We will start with from the Fermi theory of the electron gas, to develop the fundamentals of Density-Functional Theory (DFT), the main framework and starting point of modern electronic structure methods. We will assess its extent, its main approximations, its operative development, and its main applications in determining the ground-state structural, electronic, and magnetic properties of matter.

Excellent M1 level in physics Good knowledge of english.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Christophe Clanet, David Quéré, Frédéric Restagno.

-What is a fluid ?
-How to describe its motion ?
-Which equations to solve to predict the flow of simple fluids ?
-Low Reynolds number flows
-High Reynolds number flows (How do wings work? Vortices, Waves)
-Liquid surfaces
-Liquid surfaces and long range.

Exellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Jean-Marc Di Meglio, Thomas Salez.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Université de Paris

HENON Sylvie, SENS Pierre.

Dans ce cours, nous poserons les bases physiques d’une description quantitative des cellules biologiques. Après une introduction générale sur la structure des cellules, les composants moléculaires et les échelles physiques importantes, nous montrerons comment les concepts développés pour l’étude de la matière molle, de la mécanique des milieux complexes, et de la Physique Statistique (à l’équilibre et hors d’équilibre), peuvent être utilisés pour décrire et comprendre la matière vivante.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Alberto ROSSO, Marcello CIVELLI, Guillaume ROUX.

NumPhysParis is a general course in Computational Physics, with applications in statistical physics, atomic and condensed-matter.
We will cover the many numerical algothims used in modern many-body problems : Monte Carlo (classical and quantum), molecular dynamics, stochastic computation, exact diagonalization, optmization in complex landscapes. Implications to computer science problems are also discussed. We focus on algorithms and physics, not on programming and heavy numerics. The theoretical lecture is followed by a tutorial introducing many concrete numerical exercises. You will have to hand in 3 homeworks.

Excellent M1 level in physics Good knowledge in english The program language that we use is Python 3. No previous experience in programming is required.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Benoit DOUCOT, Laura MESSIO et Benoit ESTIENNE.

Excellent M1 level in physics Good knowledge in english Basic quantum mechanics, and first course in Solid state physics.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Marios PETROPOULOS et Philippe GRANDCLEMENT.

This course aims at presenting a selection of advanced topics in gravitational classical dynamics. It starts with a reminder of the basics of general relativity and Riemannian geometry. The equations of motion are displayed, and Schwarzschild and Kerr solutions obtained. The black-hole properties of the latter are then discussed with special emphasis on their thermodynamic interpretation. Follows the general study of the energy-momentum tensor accompanied with the analysis of the conserved charges of the gravitational field. The last part of the course is devoted to Cartan’s formalism and exterior calculus. These are the building blocks for cosmological applications and primer tools for gravitational instantons, useful for the quantum theory.

Excellent M1 level in physics Good knowledge in english Special relativity and basics of general relativity : elements of differential geometry, Schwarzschild solution, tests of Einstein’s theory of gravity. This can be found in any modern textbook – see bibliography.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Hernandez David, Passias Achilleas.

The theory of groups and their representations is a central subject about symmetries
in mathematics and in sciences in general, in particular in physics. For instance, Lie theory (Lie groups and Lie algebras) was a central theme in mathematics since its origin in 19th century, with various applications in mathematics and physics.

The aim of this course is to give an introduction to classical concepts and tools in Lie theory as well as for the theory of their representations. We will study remarkable examples (in particular for the applications in physics).

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Université Paris

BERNARD Denis, JACOBSEN Jesper.

Brownian motions and random paths.
Lattice statistical models.
Critical phenomena : Landau theory, fluctuations and Ginzburg criteria.
Basics of statistical field theories: Free theory, interacting theory.
Introduction to conformal field theories.
The renormalisation group : scaling laws, universality, renormalisation.
Relation with perturbative field theory renormalisation.
A few applications in statistical physics, in random geometry or in condensed matter.

Excellent M1 level in physics Good knowledge in english Equilibrium statistical physics for classical systems : statistical ensembles, Boltzmann weights, thermodynamic functions, correlation functions, phase transitions, mean field theory, Landau theory for second order phase transitions. Mathematical tools : elements of probability theory, probability measures, conditioned probabilities, generating functions, integration and distributions, Fourier transform, analytic functions, Green functions of differential operators.

Statistical Physics : statics, dynamics and renormalisation » by Leo Kadanoff, World Scientific (Singapore), 2000.

Septembre - Octobre - Novembre - Décembre.

Université Paris

Amir-Kian Kashani-Poor, Fedor Levkovich-Maslyuk.

This course will provide an introduction to quantum field theory. Previous exposure to an introductory course on second quantization is not required, but will be helpful. We will discuss the observables of quantum field theory, canonical and path integral quantization of fields of different spin, perturbation theory and its infinities, abelian and, time permitting, non-abelian gauge symmetry. The course will be inspired by the textbooks “Quantum Field Theory and the Standard Model” by Matthew D. Schwartz and "The Quantum Theory of Fields", volume 1, by Steven Weinberg.

Excellent M1 level in physics Good knowledge in english Quantum mechanics, including perturbation theory Special relativity, in particular the Lorentz transformation and relativistic kinematics The relation between the S-matrix and cross-sections and decay rates, at the level of an introductory particle physics course Analytical mechanics Complex analysis.

Septembre - Octobre - Novembre - Décembre.

Université Paris

BIROLI Giulio, SCHEHR Grégory.

Statistical physics is witnessing a revolution : understanding the dynamics of a very large number of interactive degrees of freedom, which has been from the beginning the main aim of statistical physics, has become now a central problem in many fields such as physics, biology, computer science, just to cite a few.
Now more than ever, statistical physics is both for its methods and its applications a very powerful discipline with a very broad range of theoretical methods and ramifications in many branches of science.

The aim of this series of lectures is facing the students with this very rich state of the art :
on one hand by teaching fundamental notions and methods of statistical physics and at the same time by presenting its modern applications in physics.

Excellent M1 level in physics Good knowledge in english Good knowledge of statistical ensembles (canonical, micro-canonical and grand-canonical) and their use to compute thermodynamic properties of equilibrium systems Basic notions and examples of phase transitions are also required.

Septembre - Octobre - Novembre - Décembre.

Université Paris

HENON Sylvie, SENS Pierre.

Dans ce cours, nous poserons les bases physiques d’une description quantitative des cellules biologiques. Après une introduction générale sur la structure des cellules, les composants moléculaires et les échelles physiques importantes, nous montrerons comment les concepts développés pour l’étude de la matière molle, de la mécanique des milieux complexes, et de la Physique Statistique (à l’équilibre et hors d’équilibre), peuvent être utilisés pour décrire et comprendre la matière vivante.

Excellent M1 level in physics Good knowledge in english.

Septembre - Octobre - Novembre - Décembre.

Sorbonne Université

Philippe Nghe, Clément Nizak, Aleksandra Walczak.

. Growth and Metabolism
. Growth and Reproduction
. Gene Regulation
. Large Scale Networks
. Self-Organization principles
. Physical limitations and optimization principles in biology
. Molecular noise.
. The basics of evolution
. Experimental evolution and evolutionary inference
. Statistical mechanics of evolution.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Paul Windey.

The course will be concerned with topological aspects of quantum field theory, mainly anomalies and magnetic monopoles.
Most of the following topics will be covered (in an order still to be decided):
- Chiral, gauge and gravitational anomalies: calculations, meaning and some of their applications (U(1) problem, ’t Hooft matching condition,...)
- Mathematical aspects of anomalies (characteristic classes, Atiyah-Singer index)
- Dirac monopole and monopoles as topological solitons
If time permits we may examine some topics in condensed matter where topological
consideration play an important rôle.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

Olivier Benichou, Raphaël Voituriez.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

Thierry Mora, Pascal Martin.

In this course, we will focus on the particular examples of vision and hearing to explore the physical mechanisms underlying the extraordinary performances of our senses. We will explore the various scales and stages of processing of sensory stimuli, from the cochlea and its cellular microphones in hearing, and from photo-receptors in vision, to basic neural processing. We will see that familiar concepts from non-linear dynamics and statistical mechanics (Hopf bifurcations, resonance, critical transitions,…) can shed light on the mechanisms of active amplification, compression, and efficient representation of sensory signals. In return, we will identify general physical principles of sensory detection.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Jean-Philippe Bouchaud, Valentina Ros.

- Hasard Benin et Hasard Sauvage : de Gauss à Pareto
- Phénomènes Multiplicatifs et Lois de Zipf
- Phénomènes critiques et transitions de phase
- Réseaux, percolation, crises, epidémies
- Rétroaction, avalanches, synchronisation
- Systèmes complexes et mo.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Vincent Rivasseau.

Janvier - Février - Mars.

Université Paris

Jérôme Martin, Vincent Vennin.

L’objectif de ce cours est de fournir les bases théoriques de la cosmologie moderne. Dans un premier temps, nous discuterons les solutions cosmologiques de la relativité générale, les fondements théoriques et liés aux observations permettant de vérifier l’expansion, et par suite le modèle du big-bang, et enfin l’histoire thermique de l’Univers. Nous étudions ensuite les grandes structures de l’univers d’un point de vue théorique : théorie des perturbations et origine quantique des fluctuations pendant l’inflation et finissons par donner une image globale du modèle cosmologique contemporain en en soulignant les limites et en indiquant les extensions vers les recherches actuellement en cours. Les aspects observationnels ne sont pas traité explicitement en détails, mais nous soulignerons le lien entre les prédictions et l’univers réel (nucléosynthèse primordiale, fond diffus cosmologique, spectre de puissance des grandes structures, diagramme de Hubble etc…).

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Olivier Biquard.

Le cours sera une introduction aux idées de géométrie différentielle et de topologie utilisée en physique théorique, et notamment en théorie de jauge.

Les sujets visés sont (les plus avancés ne seront pas nécessairement tous abordés dans le cours) :
- Variétés, formes différentielles, cohomologie ; théorie de Hodge
- Fibrés, connexions, courbure
- Classes caractéristiques ; Chern-Simons
- Spineurs, opérateurs de Dirac, théorème d’indice de Atiyah-Singer
- Equations de Yang-Mills, instantons.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Rémi Monasson, Simona Cocco, Francesco Zamponi.

Today’s science is characterized by an ever-increasing amount of available data, in particular in biology, but also in other fields closely related to physics, such as material science. How can we exploit those data to design accurate models of the underlying, complex, strongly non-homogeneous and interacting systems?

The objective of this course is two-fold:
(1) provide statistical physics and inference concepts and methods to answer this question,
(2) apply those tools concretely to various biological data, coming from neurobiology, genomics, ecology, ...

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Jesper Jacobsen, Yacine Ikhlef.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Florent Perez.

This course aims at giving modern theoretical foundations and frame works of spin physics in low dimensional systems (<3D), both for individual and collective behaviours of spins, such as to be prepared for modern phenomena and studies at the research level. Experimental tools and mechanisms to excite, inject and probe spin degrees of freedom, will also be detailed.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

François Hache, Nicolas Treps.

Objective of this lecture is to study non-linear interaction between light and mater, from classical to quantum effects. The natural regime, even if non-exclusive, is the femtosecond regime, where effects are macroscopic and experiments are usually performed. Beyond giving the essential ingredients of non-linear and quantum optics, this lecture will focus on recent applications and experiments, spreading for microscopy and spectroscopy to non-classical state generation and quantum metrology.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

Marc Gabay, Andrés Santander, Marcelo Civelli.

In recent years, new topics have emerged to the forefront of condensed matter physics, all of which are strongly tied to advances in materials fabrication: topological materials and multifunctional electronic states in the two-dimensional (2D) limit. The interplay of Coulomb interactions, disorder and crystal structure leads to the formation of novel quantum collective states. Our course proposes to explore this physics introducing select theoretical tools and experimental techniques allowing one to study 2D electronic states in the presence of strong correlations (Mott), disorder and topology.There will be eight lectures, one hands-on computer session devoted to the DMFT study of a Mott system and one recitation (TD) on 2D spin-orbit interactions (central to topology and unconventional spin effects).

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Claude Jaupart, Julien Aubert.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

Frédéric Machefert, Nicolas Morange.

We will study the standard model of particle physics and the most important experiments that have contributed to its development :

- Experimental issues: accelerators and detectors,
- particles, 4-vectors, particle interactions, description of an unstable particle,
- internal structure of the hadrons : deep inelastic scattering, scale invariance, parton model,
- hadron spectroscopy : isospin and SU(2), hypercharge and SU(3), quark model,
- strong interaction : the ratio R, color jets, alphaS,
- weak interaction : parity violation, W and Z bosons,
- CP violation and the CKM matrix,
- the Higgs boson, its properties and the search for the Higgs boson,
- one example for physics beyond the standard model : supersymmetry.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Nicolas Bergeal, Abhay Shukla, Johan Biscaras.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

Stéphane Lavignac, Brando Bellazzini.

Cet enseignement vise à donner une introduction aux théories de jauge
non-abéliennes et au Modèle Standard de la physique des particules. Les sujets
couverts comprennent: fondements des théories de jauge non-abéliennes (Yang-Mills);
brisure spontanée de symétrie, théorème de Goldstone et mécanisme de Higgs;
construction du Modèle Standard et ses principaux aspects phénoménologiques;
quantification des théories de jauge non-abéliennes; calcul de la fonction bêta
de la théorie de Yang-Mills; anomalies.

Excellent M1 level in physics Good knowledge in english Quantum Field Theory I, basics of Feynman diagram computations (see e.g. Schwartz or Peskin & Schroeder) basics of representations of Lie groups (see e.g. Schwartz Section 25.1, or Peskin & Schroeder pp. 495-502).

- Matthew Schwartz, Quantum Field Theory and the Standard Model, Cambridge University Press (2014) - Michael Peskin and Daniel Schroeder, An introduction to Quantum Field Theory (1995) - Steven Weinberg, The Quantum Theory of Fields (Volume II), Cambridge.

Janvier - Février - Mars.

Université Paris

Jérôme Estève, Igor Dotsenko.

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.

Today, the most active ones are Quantum metrology, where multiparticle entangled quantum states are employed to improve high-resolution measurements, for example in an atomic clock. Quantum cryptography, where the use of quantum objects (typically photons) as information carriers makes it possible to detect eavesdroppers due to fundamental measurement back-action. Quantum computing, where qubits replace classical bits. For some specific algorithms, “quantum parallelism” can actually lead to a fundamentally faster performance than the best known classical algorithms. Quantum simulations, where a well-controlled quantum system is designed to obey the Hamiltonian of a fundamental problem, often from solid-state physics, which cannot be studied in its original system due to lack of control (impurities, small scale...), nor simulated on a classical computer due to its complexity.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Pierre-François Cohadon, Samuel Deleglise, Patrice Bertet.

Although quantum physics is primarily applied to microscopic systems such as atoms or particles, it can also describe the behavior of much more macroscopic, “man-made” systems such as electrical circuits or mechanical oscillators. Once considered exclusively a subject of fundamental research, these artificial quantum systems are now also regarded as being among the most promising for quantum technologies, and in particular quantum-enhanced computing and sensing. The goal of these lectures is to give an introduction to their physics and applications.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

Cristiano Ciuti, Sara Ducci.

Paradigmatic models of nonlinear Quantum optics
- Fundamental Experimental techniques and protocols
- Solid-State Quantum Optical devices
- Quantum fluids of light
- Topological Photonics and Quantum Photonics.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Meydi Ferrier, Gwendal Feve, Matthieu Delbecq.

Introduction: from classical to Quantum transport
- Conductance of A Quantum coherent wire between two reservoirs : Landauer formalism
- phase coherence and Electronic interferences in transport
- Electronic transport in The presence of Spin-Orbit interaction
- Persistent currents andorbital magnetism of anisolatedmesoscopic ring
- Electron interferences in one-dimensional conductors
- Current correlations and Noise measurements
- Introduction to time dependent transport
- Coulomb interaction and Electronic decoherencein Quantum Hall edge channels.

Excellent M1 level in physics Good knowledge in english.

[Datta 97] Supriyo Datta Electronic Transport in mesoscopic systems Cambridge (1997) [Imry02]Y.Imry, “Introduction to mesoscopic physics” Orford University Press (2002) [Akkermans07] E. Akkermans and G. Montambaux, “Mesoscopic Physics with electrons and photons”, Cambdrige University Press, (2007) [Nazarov09] Y. Nazarov and Y.Blanter “Introduction to nanoscience” Cambdrige University Press, (2009) Cours de l’école Polytechnique de Gilles Momtambaux (https://www.equipes.lps.u-psud.fr/Montambaux/polytechnique/PHY560B/PHY560B-2013.pdf).

Janvier - Février - Mars.

Sorbonne Université

Janvier - Février - Mars.

Damir Becirevic, Matteo Cacciari.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Annie Colin, Anke Lindner.

Complex fluids are ubiquitous in nature and industrial applications, ranging from food processing, to biofluid flow or landslides. The complex macroscopic properties resultfrom the non-linear interaction between the microscopic structure of the fluids and the applied flow.
In this course we will introduce the most important non-Newtonian properties and discuss classical and more recent rheological methods (as microfluidics etc.) to experimentally access those properties. Specific examples of complex fluids, as polymer solutions, surfactants or emulsions are discussed in detail and their applications introduced. Simple non-Brownian as well as complex or even active suspension properties are introduced.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Matteo Ciccotti, Benoit Roman.

How to describe deformations : stresses and strains
Deformable slender objects.
What is a solid?
Engineering point of view on rods and truss.
Elastic energy
Elastic Instabilities : avoiding and using them.
Fracture. how things break.
Fracture and adhesion of thin objects.
Soft solids.
Interacting fluid and solids.
Plasticity.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Grégory Schehr, Guilhem Semerjian.

In the last decades statistical physics has proven to be a successful theoretical framework able to tackle central problems in physics but also in very disparate fields such as biology, computer science, economics, etc...
Explaining the theoretical developments that made such progress possible is the aim of these lectures.
Students will acquire a solid theoretical background —conceptual and methodological— which is useful in a very broad range of contexts and represents an important piece of modern theoretical physics.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Dan Israel, Piotr Tourkine.

The goal of this course is to introduce string theory. We motivate the study of string theory, and demonstrate the use of two-dimensional conformal field theory. We study properties of conformal field theories, like the state-operator correspondence, operator product expansions, the symmetry algebra and the central charge. We illustrate these concepts mostly with free fields. Using these tools, we compute the spectrum of the open and closed bosonic string. We show that it includes gauge bosons as well as a spin two massless particle, the graviton. We calculate scattering amplitudes in string theory, and analyze their distinct high energy behaviour. Moreover, we argue why the quantum theory is finite. We may touch upon compactications, T-duality and D-branes, as well as a selection of even more advanced topics at the end of the course.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

Janvier - Février - Mars.

Xavier Leyronas, Julien Gabelli.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Slava Rychkov.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Nicolas Regnault.

These lectures providethe fundamental notions while mostly focusing on non-interacting systems. To giveanother perspective on this topic, we propose to organize lectures that would focus ontheir long range entanglement analogue where exotic excitations may emerge. Thesetwo lectures would be coordinated, not to avoid duplication (getting anotherperspective is pedagogically fruitful) but to ensure their coherence andcomplementarity.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Alexandros Alexakis, Sergio Chibbaro.

The aim of the course is to provide a general presentation of turbulence theory from the point of view of statistical physics and notably in the framework of nonlinear physics.In the first part, some examples will make clear the variety of phenomena which can be considered turbulent. The relation to dynamical systems and statistical mechanics concepts will be emphasised. The few exact results will be derived. The phenomenology will be presented in terms of scaling. In particular, the multifractal description of turbulence will be discussed. In the second part of the course, some specific subjects of current research will dealt with, like wave turbulence, convection, magnetohydrodynamics and Lagrangian approach among others. Basic notion of Fluid Mechanics and probability theory are required.Contents:•Introduction and examples•Conserved quantities and symmetries•Turbulence, dynamical systems and chaos•Cascades and phenomenology of hydrodynamic turbulence•Kolmogorov 1941 theory•Vorticity dynamics and 2D turbulence•Turbulence and statistical mechanics•Intermittency and multifractal analysis•Analysis of specific themes: Waves, Rotation, Lagrangian turbulence, MHD... (achoice will be made each year)Bibliography: Frisch, Turbulence, CambridgeLandau & Lifschitz, Fluid Mechanics, PergamonBohr, Jensen, Paladin, Vulpiani, Dynamical Systems Approach to Turbulence, Cambridge.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Sylvain Nascimbène, Fabrice Gerbier, Aurélien Perrin.

- Laser cooling and trapping
- Below the Doppler limit
- Ideal Bose and Fermi gases
- Collisions and weakly interacting BECs
- Bogoliubov expansion and hydrodynamics
- Fermi gases (2 lessons)
- Efimov states
- Quantum gases in optical lattices (3 lessons).

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Université Paris

Christophe Texier, Nicolas Cherroret.

We study the problem of transport and localization in disordered systems, when INTERFERENCE is present, as characteristic for waves. A wave propagates in some medium (be it vacuum), and interference occurs when different waves overlap, for example scattered from different positions with various wavevectors. We want to describe the propagation of the wave over long distances and for long times. Physical situations of this type cover the propagation of light in a turbid medium, electronic matter waves in conventional metals at low temperature, acoustic waves in a concert hall with complicated shape, seismic waves multiply scattered inside the earth, atomic matter waves in the presence of a disordered potential, etc. The emphasis is put on experimental situations met in solid state samples and (ultra-)cold atomic gases.

Excellent M1 level in physics Good knowledge in english.

Janvier - Février - Mars.

Sorbonne Université

Avril - Mai - Juin.