Mehran Kardar, Giorgio Parisi and Yi-Cheng Zhang proposed in 1986 an equation describing the scale invariance of various phenomena. This field has experienced a second life in recent years with the identification of universal distributions highlighted in very different models, both at the theoretical (spin chains, lattice gases) and experimental (cold atoms, exciton-polaritons) levels. Our goal is to provide a broad and accessible overview of these advances, together with the most recent results on these topics.
Topics
Theory of out-of-equilibrium interfaces in random media
KPZ scalings in open quantum systems
Fluctuations in excitons-polaritons gases
Experimental realization of KPZ fronts
Driven spin chains
Mathematical aspects of the KPZ universality class
Format
5 lectures of 6 hours (each lecture is split in four 1h30 sessions of teaching/exercises).
The recordings of lectures and presentations are available at this link.
Invited Lecturers
Elisabeth Agoritsas (DQMP, Université de Genève, Switzerland)
Ivan Corwin (Columbia University, USA)
Sebastian Diehl (Universität zu Köln, Germany)
Tomaž Prosen (Univerza v Ljubljani, Slovenia)
Kazumasa A. Takeuchi (Tōkyō University, Japan)
Public
The Doctoral Training School “Kardar–Parisi–Zhang equation: new trends in theories and experiments” is primarily intended for doctoral and master students, post-docs and other younger researchers willing to learn these topics, but applications from more experienced researchers will also be considered.
Invited speakers
Guillaume Barraquand (ENS Paris, France)
Jacqueline Bloch (C2N, Paris-Saclay, France)
Iacopo Carusotto (INO-CNR BEC Center, Trento, Italy)
Giorgio Parisi (Sapienza Università di Roma, Italy)
Gregory Schehr (LPTHE, Paris, France)
Herbert Spohn (Technical University of Munich, Germany)
Marzena Szymanska (University College London, UK)
Véronique Terras (LPTMS, Paris-Saclay, France)
David Wei (Max Planck Institute of Quantum Optics, Garching, Germany)
Organizers
Léonie Canet (LPMMC, Université Grenoble Alpes)
Vivien Lecomte (LIPhy, CNRS, Université Grenoble Alpes)
Anna Minguzzi (LPMMC, CNRS, Université Grenoble Alpes)