Probing the dephasing time of crystals via spectral properties of high-order harmonic generation

Coherent time is a characteristic time in the extreme nonlinear optics regime and thus generally introduced as the dephasing time in simulations of solid-state high-harmonic generation. This characteristic time linked with the coherent decay of quantum trajectory controls the emergence of spectral splittings in high-harmonic spectroscopy, which has been attributed to the temporal interference between two adjacent harmonic emission channels. To reproduce the harmonic peaks and spectral splittings, a temporal two-slit interference model in the momentum space is introduced. In addition, mechanisms of spectral splitting provide a state-of-the-art avenue to probe the characteristic elapse between electron and hole. Based on the subfemtosecond resolution of the spectral interference opening and closing zones in the wavelength-dependent high-order harmonic spectra, we also propose an alternative scheme to probe the dephasing time of crystals with feasible laser pulses in present experimental setups.