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A generalization of non-perturbative QED model for high harmonic generationis developed for the multi-mode optical field case. By introducingclassical-field-dressed quantized Volkov states analytically, a formula tocalculate HHG for hydrogen-like atom in ultrashort intense laser pulse isobtained, which has a simple intuitive interpretation. The dressed state QEDmodel indicates a new perspective to understand HHG, for example, the presenceof the weak even-order harmonic photons, which has been verified by boththeoretical analysis and numerical computation. Long wavelength approximationand strong field approximation are involved in the development of theformalism.

Non-perturbative QED Model with Dressed States to Tackle HHG in Ultrashort Intense Laser Pulses