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Spontaneous emission of a two--level atom in free space is modified by otheratoms in its vicinity leading to super- and sub-radiance. In particular, foratomic distances closer than the transition wavelength the maximally entangledantisymmetric superposition state of two individually excited atomic dipolemoments possesses no total dipole moment and will not decay spontaneously atall. Such a two-atom dark state does not exist, if the atoms possessalternative decay channels towards other atomic lower energy states. However,we show here that for any atomic state with $N-1$ independent spontaneous decaychannels one can always find a $N$-particle highly entangled state, whichcompletely decouples from the free radiation field and does not decay.Moreover, we show that this state is the unique state orthogonal to thesubspace spanned by the lower energy states with this property. Its sub-radiantproperty largely survives at finite atomic distances.

Subradiance and entanglement in atoms with several independent decay channels