Abstract
When a few-cycle Inhomogeneous laser pulse propagates in parabolic quantum wells, a soliton pulse can occur after a certain propagation distance. The duration and peak intensity of such a soliton pulse are both sensitively dependent on the carrier-envelope phase (CEP) of the incident few-cycle pulse. This kind of CEP-dependence follows a sinusoidal modulation pattern with the Inhomogeneous degree of the incident laser field, which provides a route to determine the CEP by just shaping the field's inhomogeneity analogous to that by using polar media.
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