Excitonic optical bistability in ${\mathrm{Cu}}_{2}\mathrm{O}$ is studied in a high-resolution transmission experiment. The bistability arises from non-linear photothermal interplay between the sharp yellow 1S orthoexciton resonance and a single mode photon source. All optical switching is demonstrated, where changes in the excitation energy of $200\phantom{\rule{0.3em}{0ex}}\mathrm{neV}$ act as discriminator between states of high and low transmission. The dynamics of the bistability as well as the transmission hysteresis are monitored. The spectral width of the hysteresis loop can be tuned from $8\phantom{\rule{0.3em}{0ex}}\ensuremath{\mu}\mathrm{eV}$ down to $80\phantom{\rule{0.3em}{0ex}}\mathrm{neV}$, by adjusting the excitation power. The experimental findings are in agreement with model calculations.
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