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By employing the exact diagonalization method, we investigate thehigh-harmonic generation (HHG) of the correlated systems under the strong laserirradiation. For the extended Hubbard model on a periodic chain, HHG close tothe quantum critical point (QCP) is more significant compared to twoneighboring gapped phases (i.e., charge-density-wave and spin-density wavestates), especially in low-frequencies. We confirm that the systems in thevicinity of the QCP are supersensitive to the external field and moreoptical-transition channels via excited states are responsible for HHG. Thisfeature holds the potential of obtaining high-efficiency harmonics by makinguse of materials approaching to QCP. Based on two-dimensional Haldane model, wefurther propose that the even- or odd-order components of generated harmonicscan be promisingly regarded as spectral signals to distinguish thetopologically ordered phases from locally ordered ones. Our findings in thiswork pave the way to achieve ultrafast light source from HHG in stronglycorrelated materials and to study quantum phase transition by nonlinear opticsin strong laser fields.

High-harmonic generation approaching the quantum critical point of strongly correlated systems