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The complete theoretical description of experimentally observedmagnetoexcitons in cuprous oxide has been achieved by F. Schweiner et al [Phys.Rev. B 95, 035202 (2017)], using a complete basis set and taking into accountthe valence band structure and the cubic symmetry of the solid. Here, we extendthese calculations by investigating numerically the autoionising resonances ofcuprous oxide in electric fields and in parallel electric and magnetic fieldsoriented in [001] direction. To this aim we apply thecomplex-coordinate-rotation method. Complex resonance energies are computed bysolving a non-Hermitian generalised eigenvalue problem, and absorption spectraare simulated by using relative oscillator strengths. The method allows us toinvestigate the influence of different electric and magnetic field strengths onthe position, the lifetime, and the shape of resonances.

Rydberg excitons in electric and magnetic fields obtained with the complex-coordinate-rotation method