  Photon modes of reverse rotation in ring QED-cavity coupled with single atom
are considered. By applying Schrieffer-Wolf transformation for the off-resonant
light-atom interaction, an effective Hamiltonian of the evolution of the photon
modes is obtained. Heisenberg equations for the input-output photon mode
operators are written and the expression for the system wave function is found.
The obtained analytical solution shows the condition of the control NOT quantum
gate implementation. Possible on a chip experimental implementation and
recommendations for the construction of optical quantum computer using this
gate are considered.
