  A theoretical scheme is presented for the adiabatic generation of N-quNit
singlet states with $N\geqslant3$, which may be more feasible than previous
ones in a cavity. In this proposal, the system may be robust both parameter
fluctuations and dissipation along a dark state. In addition, quantum
information is only stored in atomic ground states and there is no energy
exchanged between atoms and photons in a cavity so as to reduce the influence
of atomic spontaneous emission and cavity decays.

Quantum Physics