Abstract:

Using laser driving field and local laser field in three optical micro cavity field，atoms can induce any two atom entanglement and three atom entanglement in three atoms. Using input-output technology and adiabatic approximation theory，the effective Hamiltonian of Ising chain model is derived. The two-atom entanglement is measured by the concurrence，and the three - atom entanglement is measured by intrinsic entanglement. The evolution curve of entanglement of two and three atoms with time is given. The laser driving field and the local laser field can be adjusted properly，and the quantum controlled not gate can be realized by any two atoms in the long distance three atoms.

Key words: optical micro-cavity, atom entanglement, quantum controlled not gate, effective Hamiltonian