Events

Anderson localization of electronic states induced by the presence of a structural disorder at the atomic scale has been a long-standing theoretical and experimental puzzle. The question has pervaded other fields such as optics or cold atom physics, with experimental setups trying to achieve spatial localization of light or of atomic matter waves in Bose-Einstein condensates. This event is an opportunity to bring together researchers and students from these connected but different fields, to exchange and to cross-fertilize their approaches.

The goals of the meeting are to present the key achievements of the first 4-year stage of the project and to jumpstart the program moving forward to the second stage. The workshop will cover all fields of the Collaboration, from experimental physics to pure mathematics, and will foster the opportunities to build interdisciplinary teams for most compelling current challenges in phase space, geometry, random media, dynamics, and transport.

The 2022 Simons Collaboration on Localization of Waves Annual Meeting will bring together world leading mathematicians and physicists whose work illuminates profound connections between disorder, geometric complexity, and the behavior of waves. The meeting will highlight how recent advances in mathematics yield important applications in physics involving wave localization. In particular, speakers will unveil groundbreaking results relating harmonic analysis and geometrical measure theory to cold atoms, nitride-based LEDs, and perovskites.

A workshop on the physics of disorder in semiconductors. We will focus on electronic processes in the presence of localization related to disorder in different families of semiconductor materials: perovskites, nitrides and 2D TMDCs.

The quantum gas group from Institut optique organized an international conference on ultracold atoms, localization and beyond. The covered topics will be broad in the context of localization, transport, both in the presence and in the absence of interaction. Many-body localization and more generally ergodicity in interacting systems will be a major topic as it is the subject of intense research.

Wave PI, Marcel Filoche from École Polytechnique will give a live-streamed lecture entitled "The landscape of wave localization in complex or disordered systems."

The meeting focus on the questions of localization in random media. First, the group will examine localization triggered by the randomness in the coefficients of the matrix of a divergence form elliptic operator, its relationship to the exit time of a random walk and to harmonic measure. Secondly, we will study the probabilistic properties of the landscape function in the presence of a random potential. Finally, substantial efforts will be concentrated on the Wigner-Weyl formalism with the injection of the landscape methods and the possibility of using the localization landscape to predict quantum observables.

The 2021 Simons Collaboration on Localization of Waves Annual Meeting will bring together world leading mathematicians and physicists whose work illuminates profound connections between disorder, geometric complexity, and the behavior of waves. The meeting will highlight how recent advances in mathematics yield important applications in physics involving wave localization.