Optical generation of solitonlike pulses in a single-component gas of neutral fermionic atoms

We analyze the generation of solitonlike solutions in a single-component Fermi gas of neutral atoms at zero and finite temperatures with the phase imprinting method. By using both the numerical and analytical calculations, we find the conditions when the quasisolitons, which apparently resemble the properties of solitons in nonlinear integrable equations, do exist in a noninteracting Fermi gas. We present the results for both spatially homogeneous and trapped cases, and emphasize the importance of the Fermi statistics and the absence of the interaction for the existence of such solutions.