We use the density matrix renormalization group method to study the two-fluid physics in the one-dimensional Kondo-Heisenberg model.We find, based on the analysis of the magnetic correlation function, that the Heisenberg spins are entangled partially with one another and partially with the conduction electrons to form a composite state.We identify the spectral weight transfer as the hybridization parameter of the two-fluid model and show that it describes not only the reduction of the antiferromagnetic correlation energy, but also the redistribution of the conduction electrons in the Brillouin zone.Our results provide a microscopic support of the phenomenological two-fluid model developed for real heavy electron materials.