报告摘要：Disordered systems often reveal their universal physics not only through averages, but through fluctuations. We will present two connected examples, from quantum localization to directed-polymer glass. First, we address a long-standing challenge in two-dimensional Anderson localization: characterizing fluctuations beyond the localization length. We show that these fluctuations can be understood through a mapping to directed polymers in random media, a paradigmatic model in the Kardar-Parisi-Zhang (KPZ) universality class. The second part focuses on finite-density directed polymers, a minimal model of glassy line matter. Direct simulation of this problem faces an “exponential wall” in the number of polymers, which we overcome by reformulating the problem as spectral filling. The key physics revealed here is that the absence of self-averaging in disordered systems can manifest as distinct critical exponents characterizing cumulants of thermodynamic observables. These works illustrate why fluctuations are central in statistical physics of disordered systems: they reveal universal laws and collective behaviours that are invisible at the level of average quantities alone. They also point toward a broader program of using fluctuation statistics to connect quantum localization and glassy physics.

个人简介：Sen Mu completed his undergraduate and doctoral studies in physics at the National University of Singapore (NUS). He is currently a postdoctoral researcher at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany. His recent research focuses on statistical and condensed matter physics of nonequilibrium phenomena in complex systems, including dynamics, localization, topology, criticality, and universal fluctuations in both classical and quantum disordered systems.