The very short duration of laser shocks and their low-destructive character provide new means of studying the kinetics of phase transitions. Here, we investigate the phase transformation behavior of quartz under dynamic compression of short duration (nanosecond order) generated by various laser shock techniques. VISAR measurements have been performed to characterize the stress history induced in the targets. Recovered samples have been analyzed by micro-Raman spectroscopy. The influences of several experimental parameters (pulse duration, tensile and shear stresses...) have been investigated. The results, which differ notably from observations reported under quasi-static compression or longer pulsed loads (microsecond order), suggest a partial amorphization of the shocked samples, as well as the formation of a new structure that can be compared to known orthorhombic high pressure phases.