“…The apparently abrupt cut-off of the SHG spectrum has important implications for the utility of SHG and the even-parity states in quantum optics applications. The factors governing the visibility of high-n Rydberg excitons have been extensively studied in absorption experiments on the nP series [18,20,33,59], and include Rydberg blockade [1], thermally or optically excited free carriers [20,60], charged defects [6,33,61], and local strain and disorder [18,20]. Therefore to gain further insight we carried out further experiments on the power dependence and spatial variation of the SHG spectrum.…”