Fast generation of many-atom maximal entanglement in spin-1 Bose-Einstein condensates

We propose a scheme for generating many-atom maximal entanglement states in spin-1 Bose-Einstein condensates. By applying a far-off-resonate blue-detuned linear-polarized laser to the condensates, the hyperfine level F=1, m=0 ground state and the hyperfine F=0 excited state are conveniently coupled. Such a configuration is more efficient and provides a fast implementation of the maximally entangled GHZ state, using only half of the time that is required in single-atom Raman-transition-based schemes [You Phys. Rev. Lett. 90 030402 (2003)].