Thermo-optic hysteresis with bound states in the continuum

We consider thermo-optic hysteresis in a silicon structure supporting bound state in the continuum. Taking into account radiative heat transfer as a major cooling mechanism we constructed a non-linear model describing the optical response. It is shown that the thermo-optic hysteresis can be obtained with low intensities of incident light $I_0\approx 1\mathrm{W}\mathrm{/}{\mathrm{m}}^2$ at the red edge of the visible under the critical coupling condition.