Mondays at 4.15pm in room 1.15.
Upcoming seminar:
Monday March 16: Wojciech De Roeck (KU Leuven)
Localization effects in many-body systems
Abstract: In the 50's, Phil Anderson introduced the concept of what is now known as "Anderson Localization" and what has become an inspiring topic both in physics and mathematics. Ever since, there has been a pertinent question about how this phenomenon manifests itself, if at all, for interacting particles. Â
In particular, in the last two decades, there was a lively debate in the physics community about "Many-body localization".Â
I will revisit this story, with an emphasis on mathematical results.Â
In particular, in the preprint https://arxiv.org/abs/2408.04338 (still under revision), we prove that strongly disordered one-dimensional quantum chains have a conductance that is identically zero, at any temperature.  Â
Time permitting, I will also mention analogous phenomena and open problems in classical mechanics. The most well-known of these is the nature of spreading of wave packets in the nonlinear Schrodinger equation, a problem coined and partially solved by Jean Bourgain and Wei-Min Wan in 2007.Â
Contact:
tiancheng.he@unige.ch / Nikita.Gladkov@unige.ch/ Peter.Wildemann@unige.ch/ Amirali.Hannani@unige.chÂ