A novel dephasing mechanism in dielectric crystals is considered. The
mechanism is due to the delocalized collective excitations arising in
the system of interacting two-level systems (TLS). The spectral diffus
ion induced by these excitations gives rise to the transverse relaxati
on which is independent of phonons. The mechanism results in linear te
mperature dependence of the dephasing rate and becomes predominant at
ultra low temperatures. A qualitative agreement with the experimental
data is found. (C) 1998 Elsevier Science B.V. All rights reserved.