  Interaction of ultera-short laser pulses with a dense cold plasma is
investigated. Due to high density, of plasma, quantum effects such that Bohm
potential and quantum pressure should be considered. The results reveal that
electron density function modulated by laser light in the propagation
direction. This modulation can be controlled by amplitude of laser intensity
and plasma effective parameters. For some special values of involved parameters
electron density become localized in quenches spatially. Increasing the quantum
coefficient tends to rarefy the high electron density regions, since the total
number of electrons are constant. Hence, our theory predicts plasma expansion
in the direction of laser light due to quantum effects.
