Kardar–Parisi–Zhang equation: new trends in theories and experiments

April 15, 2024 - April 26, 2024Chamonix - Site des Houches

AIMS

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).

10 invited talks (1h, questions included).

10 contributed talks (30min, questions included).

2 poster sessions.
 

The book of abstracts is available at this link.

The recordings of lectures and presentations are available at this link.