  Based on a plausible requirement for the ground state density, we introduce a
novel one-dimensional (1D) atomic model potential for the 1D simulation of the
quantum dynamics of a single active electron atom driven by a strong, linearly
polarized few-cycle laser pulse. The form of this density-based 1D model
potential also suggests improved parameters for other well-known 1D model
potentials. We test these 1D model potentials in numerical simulations of
typical strong-field physics scenarios and we find an impressively increased
accuracy of the low-frequency features of the most important physical
quantities. The structure and the phase of the high-order harmonic spectra also
have a very good match to those resulting from the three-dimensional
simulations, which enables to fit the corresponding power spectra with the help
of a simple scaling function.
