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Recent years have seen enormous experimental progress in preparing, controlling and probing quantum systems in various regimes far from thermal equilibrium. Examples include systems as ultra-cold atomic quantum gases under time-dependent perturbations, driven non-linear cavity QED systems or strongly correlated electrons in solid-state materials under ultra-fast optical excitations.
This course covers advanced topics in Statistical Physics. It assumes a very good knowledge of the Statistical Physics concepts and methods taught in standard lectures at the M1 level.
Students performing a library-based project are expected to study a series of original research articles around a common subject, under the supervision of a senior researcher.
La théorie de la Relativité Générale est une modélisation des liens entre matière et gravitation à travers des équations reliant des objets géométriques.
The goal of this course is to introduce somewhat "advanced" topics in quantum matter, tackle truly quantum-entangled, strongly interacting, phases of matter and materials, and present how quantum matter is a particularly rich field, with many open theoretical problems.
Soft matter encompasses a wide ensemble of physical systems - fluids, foams, sand, polymers, fabric, cells, biological tissues… - with very diverse properties and phenomenologies. Yet, they share a few key aspects that make them approachable by similar physical strategies: they often have a complex microscopic structure, dominated by entropic and electrostatic forces, resulting in deformability or solidity depending on context, and more generally they display emergent and universal behavior distinct from that of ‘hard’ condensed matter like crystals. In addition, many soft systems, like foams, emulsions or sand, are actually “mostly made of surfaces”; their macroscopic properties then derive from particular physical interactions at the interface between fluids, colloidal particles, macromolecules, membranes, etc.
The goal of this course is to introduce fundamental concepts of soft matter through concrete examples and important theoretical frameworks.
Ce cours propose une introduction à la théorie des probabilités et ses applications , adaptée aux physiciens.
Le projet de recherche supervisée est un travail expérimental réalisé dans un laboratoire de l’ENS ou des établissements voisins sous la responsabilité d’un chercheur.