Speaker: 曹鸿艺, 北京大学 博士后
Inviter: 夏旭
Title: Quantum ergodicity and delocalization on $\mathbb Z^d$
Time & Venue: 2025.08.02 11:20-12:20 思源楼 615
Abstract: For discrete Schrödinger operators on $\mathbb Z^d$, delocalization may be understood from different aspects: spectral delocalization (purely absolutely continuous spectrum), ballistic transport (wave packets spread on the lattice at a specific rate as time goes on). In this talk, we discuss a notion of spatial delocalization, so-called quantum ergodicity: the eigenfunctions on the growing boxes $\Gamma_N$ become delocalized and uniformly distributed as $N \to \infty$. This is based on a joint work with Shengquan Xiang.
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