session on Dilute Bose gases and the Gross-Pitaevskii limit Since the first experimental achievement of Bose-Einstein condensation in cold atomic gases more than 20 years ago, there has been a surge of activity on this topic in experimental, theoretical and mathematical physics. Of particular relevance is the Gross-Pitaevskii regime of dilute, trapped gases, which can be thought of as a combined thermodynamic and low density limit. We review old and recent results on the validity of the Gross-Pitaevskii description for the ground state energy, dynamics, and excitation spectrum of bosonic many-body quantum systems. |
session on Quasilocality properties of quantum lattice systems and applications In the past dozen years, Lieb-Robinson bounds have been used to exploit the quasi-locality properties of quantum lattice systems with short-range interactions to derive interesting new results about the ground states, low-lying excitations, adiabatic dynamics, linear response, and stability properties of such systems. We review some of the techniques and recent applications. |
session on New challenges for Coulomb gases Coulomb gases have been an important object of study in mathematical physics since the 70s. They now re-appear in several areas of physics and mathematics. The purpose of the session will be to review some known and conjectured properties of classical and quantum Coulomb gases. Some possible subjects of discussion are: the crystallization conjecture, the BKT transition, links with optimal transport and Density Functional Theory, links with random matrices, vortices in Ginzburg-Landau theory, discretization methods for manifolds in numerical analysis, etc. Here are Mathieu's slides; and here is Jürg's first talk, and Jürg's second talk. |
session on Interacting systems with random fields |