Entanglement dynamics in two-component Bose--Einstein condensates

Based on the exact solution of the time-dependent Schr"{o}dingerequation for two-species Bose--Einstein condensates (BECs)consisting of two hyperfine states of the atoms coupled by a tunedadiabatic and time-varying Raman coupling, we obtain analyticallythe entanglement dynamics of the system with various initialstates, particularly the SU(2) coherent state, for both ofcases with and without the nonlinear interactions. It is shownthat the effect of nonlinear interaction on the entanglementappears only in a longer time period depending on the BECparameters.