Quasicrystals are a fascinating state of matter which is characterized by long-range but nonperiodic order. They display a number of intriguing properties, including unusual localization properties, fractal properties and anomalous critical scalings. Such structures spontaneously appear in the growth of certain alloys. Also, artificial quasicrystals can now be engineered by using photonic crystals, quantum fluids of light, and ultracold quantum gases. In this talk, I will first introduce the basic concept related to quasicrystals such as quasiperiodicity, localization and fractality. Then, I will take the ultracold atom system as an example to show recent results on 2D quasicrystal [1-3], where I will mainly focus on the Bose glass localization transition and fractality.
 D. Johnstone, P. Öhberg, and C. W. Duncan, Phys. Rev. A 100, 053609 (2019)
 M. Sbroscia, K. Viebahn, E. Carter, J.-C. Yu, A. Gaunt, and U. Schneider, Phys. Rev. Lett. 125, 200604 (2020)
 R. Gautier, H. Yao, and L. Sanchez-Palencia, Phys. Rev. Lett. 126, 110401 (2021)
Location: Stuckelberg, Ecole de Physique
Time: Friday 2 December 2022, 12:00 for pizza, 12:30 start discussion