This paper reports on frequency jumps of single molecule excitation li
nes: The first part deals with spontaneous spectral jumps (spectral di
ffusion) and gives examples of what can be learned from investigations
of spectral diffusion about the low temperature physics of amorphous
solids. The second part of this article discusses light-induced freque
ncy jumps in the crystalline system terrylene in p-terphenyl where rev
ersible single molecule hole-burning allows the optical manipulation o
f single absorbers in a remarkably controlled and reproducible fashion
. Furthermore we demonstrate how this system permits investigations of
one and the same chromophore over a period of a few weeks at least.