Speaker: 张景宣，清华大学

Inviter: 范晨捷副研究员

Title: Localization estimates for quantum dynamics: sub-ballistic transport

Language: English

Time & Venue: 2024.10.14 16：00-17：00 思源楼S803

Abstract: Sub-ballistic transport refers to the phenomenon that particles move at strictly sub-linear rate in a dynamical system. This phenomenon has been observed in various nonequilibrium quantum lattice models, with Hamiltonians such as the Fibonacci operator and the almost Mathieu operator (Damanik-Tcheremchantsev, JAMS 2004). In this talk, we present sub-ballistic transport bounds for generic non-autonomous Schrödinger operators on lattices of arbitrary dimension. The main condition is that momentum vanishes sufficiently fast in the front of the wavepackets. The results apply to long-range Hamiltonian with polynomial decaying off-diagonal terms and can be extended, via a frozen-coefficient argument, to generic discrete nonlinear Schrödinger equations. Based on joint works with M. Lemm, S. Rademacher, and C. Rublilia