Fig. 1.

A graphical representation of the population of QLMs in poorly annealed (Upper) and deeply annealed (Lower) two-dimensional computer glasses. Each blob represents a QLM; its size is proportional to our estimation of the mode’s core size ${\xi }_{\mathrm{Q}\mathrm{L}\mathrm{M}}$, and the color code represents the mode’s frequency, decreasing from bright to dark; the Upper (Lower) color code range is [0.18, 0.42] $\left(\left[0.54,0.74\right]\right)$, expressed in terms of $c_{\infty }/a_0$, with $c_{\infty }$ being the high-$T_p$ shear wave speed, and $a_0$ is the interparticle distance. The typical distance between QLMs, ${\xi }_s$, is also marked. Details of the calculation can be found in SI Appendix. Note that the deeply annealed case shown in Lower might be representative of laboratory molecular or metallic glasses.