Interpretation of magneto-oscillatory spectra in cuprous oxide as quantum manifestation of classical non-integrability Original Research Article

The magneto-oscillatory spectra in cuprous oxide (Cu2O) are observed to have multi-oscillatory structure, and this structure is successfully interpreted as a consequence of classical non-integrability of the Hamiltonian of an electron–hole (e–h) pair generated in the sample in magnetic fields. The spectra are analyzed with use of the Heller formula which connects absorption cross section with overlap integral of the photon-absorbed wave function (PAWF) as a function of time. The overlap integral in our spectra are experimentally obtained by inverse Fourier transform of the spectra, and three characteristic times are observed as the peak times of the overlap integral. Then, the overlap integral is numerically estimated by calculating recurrence times of the trajectories of a classical hydrogen atom in magnetic fields. The characteristic times and the recurrence times coincide with each other well.