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We demonstrate that the Configuration Interaction (CI) Approximationrecaptures essential features of the exact (Bethe Ansatz) solution to the 1DHubbard model. As such, it provides valuable route for describing effects whichgo beyond mean-field theory for strongly correlated electron systems in higherdimensions. The CI method systematically describes fluctuation and quantumtunneling corrections to the Hartree-Fock Approximation (HFA). HFA predictsthat doping a half-filled Hubbard chain leads to the appearance of chargedspin-polarons or charged domain-wall solitons in the antiferromagnetic (AFM)background. The CI method, on the other hand, describes the quantum dynamics ofthese charged magnetic solitons and quantum tunneling effects between variousmean-field configurations. In this paper, we test the accuracy of the CI methodagainst the exact solution of the one-dimensional Hubbard model. We findremarkable agreement between the energy of the mobile charged bosonicdomain-wall (as given by the CI method) and the exact energy of the doping hole(as given by the Bethe Ansatz) for the entire $U/t$ range. The CI method alsoleads to a clear demonstration of the spin-charge separation in 1D. Addition ofone doping hole to the half-filled antiferromagnetic chain results in theappearance of two different carriers: a charged bosonic domain-wall (whichcarries the charge but no spin) and a neutral spin-1/2 domain wall (whichcarries the spin but no charge).Comment: 12 pages + 18 figure

Quantum dynamics of charged and neutral magnetic solitons: Spin-charge separation in the one-dimensional Hubbard model