  We investigate the use of quantum-jump-based feedback to manipulate the
stability of multipartite entangled dark states in an open quantum system.
Using the model proposed in Phys. Rev. A 76, 010301(R) (2007) for a pair of
atoms, we show a general strategy to produce many-body singlet stationary
entangled states for larger number of atoms. In the case of four qubits, we
propose a simple local feedback control that, although not optimal, is
realistic and stabilises a highly entangled state. We discuss the limitations
and analyse alternative strategies within the framework of direct jump feedback
schemes.
