Adiabatic destruction of Anderson localization

We study the diffusive wave spreading in a one-dimensional Anderson model due to a slow parameter variation with a frequency ω. The diffusion rate depends on frequency in a power law D∝${\mathrm{\omega }}^{\mathrm{\alpha }}$. A theoretical approach based on Mott’s mechanism of energy absorption gives α=2/3 in agreement with numerical data. The same results are also found for a kicked rotator model of quantum chaos.