In above section, the multimode fea

In above section, the multimode feature of our bandgap laser is confirmed. This feature is one of the prerequisites for the analogy of the spin-glass theory in photonic system because of the nonlinear interaction effect among the modes.[24] Another requirement is that the system disorder keeps quenched during the experimental measurements. In this scenario, it is guaranteed that the results of statistical dynamics reflect the internal configuration of system. Specifically, the quenched disorder refers that the time-scale of variation of the modes coupling conditions is larger than that of random lasing lifetime and the experimental measurements time. This condition is easy to be realized in a solid sample where the scattering components are fixed and the modes coupling conditions remain unchanged as well.[5] Since liquid crystal has the characteristic of fluidity, it is necessary to explain whether this characteristic will affect the system disorder. In our dyed-doped CLC system, it can be seen from Figure 2a that the emission wavelength of bandgap laser remains unchanged at a fixed temperature. Moreover, considering that the inner surface of liquid crystal cell undergoes an anti-parallel orientation treatment and the thick of cell is only 36 μm, the liquid crystal molecules are thus evenly arranged under the function of interface anchorage force and helical twist power. As a result, we can conclude that those forces make a fixed configuration of CLC ensuring consistent system disorder at series of measurement. In addition, the environment of experiment keeps unchanged. Therefore, the dyed-doped CLC system meets the full requirements of spin-glass theory. Consequently, it arises a question whether the statistical properties of bandgap laser can also exhibit some unique glassy behavior e.g. RSB.