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Recent experimental results showing untypical nonlinear absorption and markeddeviations from well known universality in the low temperature acoustic anddielectric losses in amorphous solids prove the need for improving theunderstanding of the nature of two-level systems (TLSs) in these materials.Here we suggest the study of TLSs focused on their properties which arenonuniversal. Our theoretical analysis shows that the standard tunneling modeland the recently suggested Two-TLS model provide markedly different predictionsfor the experimental outcome of these studies. Our results may be directlytested in disordered lattices, e.g KBr:CN, where there is ample theoreticalsupport for the validity of the Two-TLS model, as well as in amorphous solids.Verification of our results in the latter will significantly enhanceunderstanding of the nature of TLSs in amorphous solids, and the ability tomanipulate them and reduce their destructive effect in various cutting edgeapplications including superconducting qubits.

Nonuniversality and strongly interacting two-level systems in glasses at low temperatures