Conjecture on the effect of small anharmonicity on vibrational modes of glass

We conjecture here that, unlike for crystal lattice modes, some nearly harmonic vibrational modes of a glass lattice may have their (thermally populated) energy levels shifted (from equal spacing) more than they are broadened, both the shifting and broadening arising from small anharmonic terms in the lattice potential. This conjecture could be verified by observing either (a) saturating infrared absorption, (b) an infrared photon echo, or (c) altered infrared absorption (possibly even gain) of a probe beam in the presence of a second pump beam.