Chiral route to spontaneous entanglement generation

C.G.B. acknowledges the Spanish MECD (FPU13/01225 fellowship). A.G.T. acknowledges financial support from the Marie Curie Intra European Fellowship NanoQuIS (625955). C.G.B. and F.J.G.V. acknowledge the European Research Council (ERC-2011-AdG Proposal No. 290981). E.M., F.J.G.V., and C.G.B. acknowledge the Spanish MINECO (Grant No. MAT2014-53432-C5-5-R).