Logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrödinger operators with smooth potentials
arXiv:2110.11883
Abstract
We present a method for obtaining power-logarithmic bounds on the growth of the moments of the position operator for one-dimensional ergodic Schrödinger operators. We use Bourgain's semi-algebraic method to obtain such bounds for operators with multifrequency shift or skew shift underlying dynamics with arithmetic conditions on the parameters.
arXiv comment26 pages